Enhanced coding and parameter representation of multichannel downmixed object coding

TECHNICAL FIELD

0001The present invention relates to decoding of multiple objects from an encoded multi-object signal based on an available multichannel downmix and additional control data.

BACKGROUND OF THE INVENTION

0002Recent development in audio facilitates the recreation of a multi-channel representation of an audio signal based on a stereo (or mono) signal and corresponding control data. These parametric surround coding methods usually comprise a parameterisation. A parametric multi-channel audio decoder, (e.g. the MPEG Surround decoder defined in ISO/IEC 23003-1 [1], [2]), reconstructs <i>M</i> channels based on <i>K</i> transmitted channels, where <i>M</i>> <i>K,</i> by use of the additional control data. The control data consists of a parameterisation of the multi-channel signal based on IID (Inter channel Intensity Difference) and ICC (Inter Channel Coherence). These parameters are normally extracted in the encoding stage and describe power ratios and correlation between channel pairs used in the up-mix process. Using such a coding scheme allows for coding at a significant lower data rate than transmitting the all <i>M</i> channels, making the coding very efficient while at the same time ensuring compatibility with both <i>K</i> channel devices and <i>M</i> channel devices.

0003A much related coding system is the corresponding audio object coder [3], [4] where several audio objects are downmixed at the encoder and later on upmixed guided by control data. The process of upmixing can be also seen as a separation of the objects that are mixed in the downmix. The resulting upmixed signal can be rendered into one or more playback channels. More precisely, [3,4] presents a method to synthesize audio channels from a downmix (preferred to as sum signal), statistical information about the source objects, and data that describes the desired output format. In case several downmix signals are used, these downmix signals consist of different subsets of the objects, and the upmixing is performed for each downmix channel individually.

0004In the new method we introduce a method were the upmix is done jointly for all the downmix channels..Object coding methods have prior to the present invention not presented a solution for jointly decoding a downmix with more than one channel.

References:

0005<ul id="ul0001" list-style="none"><li>[1] <nplcit id="ncit0001" npl-type="s"><text>L. Villemoes, J. Herre, J. Breebaart, G. Hotho, S. Disch, H. Purnhagen, and K. Kjörling, "MPEG Surround: The Forthcoming ISO Standard for Spatial Audio Coding," in 28th International AES Conference, The Future of Audio Technology Surround and Beyond, Piteå, Sweden, June 30-July 2, 2006</text></nplcit>.</li><li>[2] <nplcit id="ncit0002" npl-type="s"><text>J. Breebaart, J. Herre, L. Villemoes, C. Jin, , K. Kjörling, J. Plogsties, and J. Koppens, "Multi-Channels goes Mobile: MPEG Surround Binaural Rendering," in 29th International AES Conference, Audio for Mobile and Handheld Devices, Seoul, Sept 2-4, 2006</text></nplcit>.</li><li>[3] <nplcit id="ncit0003" npl-type="s"><text>C. Faller, "Parametric Joint-Coding of Audio Sources," Convention Paper 6752 presented at the 120th AES Convention, Paris, France, May 20-23, 2006</text></nplcit>.</li><li>[4] C. Faller, "Parametric Joint-Coding of Audio Sources," Patent application <patcit id="pcit0001" dnum="EP2006050904W"><text>PCT/EP2006/050904, 2006</text></patcit>.</li></ul>

0006<patcit id="pcit0002" dnum="WO2006048203A1"><text>WO 2006/048203 A1</text></patcit> discloses a method for improving performance of prediction based multi-channel reconstruction. For a multi-channel reconstruction of audio signals based on at least one base channel, an energy measure is used for compensating energy losses due to a predictive upmix. The energy measure can be applied in the encoder or the decoder. The decorrelated signal is added to output channels generated by an energy-loss introducing upmix procedure.

SUMMARY OF THE INVENTION

0007It is the object of the present invention to provide an enhanced audio encoding or audio synthesis scheme.

0008This object is achieved by an audio object coder of claim 1, an audio object coding method of claim 18, an audio synthesizer of claim 19, an audio synthesizing method of claim 47, an encoded audio object signal of claim 48 or a computer program of claim 50.

0009A first aspect of the invention relates to an audio object coder as described in claim 1.

0010A second aspect of the invention relates to an audio object coding method as described in claim 18.

0011A third aspect of the invention relates to an audio synthesizer as described in claim 19.

0012A fourth aspect of the invention relates to an audio synthesizing method as described in claim 47.

0013A fifth aspect of the invention relates to an encoded audio object signal as described in claim 48.

BRIEF DESCRIPTION OF THE DRAWINGS

0014The present invention will now be described by way of illustrative examples, not limiting the scope or spirit of the invention, with reference to the accompanying drawings, in which: <dl id="dl0001" compact="compact"><dt>Fig. 1a</dt><dd>illustrates the operation of spatial audio object coding comprising encoding and decod- ing;</dd><dt>Fig. 1 b</dt><dd>illustrates the operation of spatial audio object coding reusing an MPEG Surround de- coder;</dd><dt>Fig. 2</dt><dd>illustrates the operation of a spatial audio object encoder,</dd><dt>Fig. 3</dt><dd>illustrates an audio object parameter extractor operating in energy based mode;</dd><dt>Fig. 4</dt><dd>illustrates an audio object parameter extractor operating in prediction based mode;</dd><dt>Fig. 5</dt><dd>illustrates the structure of an SAOC to MPEG Surround transcoder;</dd><dt>Fig. 6</dt><dd>illustrates different operation modes of a downmix converter;</dd><dt>Fig. 7</dt><dd>illustrates the structure of an MPEG Surround decoder for a stereo downmix;</dd><dt>Fig. 8</dt><dd>illustrates a practical use case including an SAOC encoder;</dd><dt>Fig. 9</dt><dd>illustrates an encoder embodiment;</dd><dt>Fig. 10</dt><dd>illustrates a decoder embodiment;</dd><dt>Fig. 11</dt><dd>illustrates a table for showing different preferred decoder/synthesizer modes;</dd><dt>Fig. 12</dt><dd>illustrates a method for calculating certain spatial upmix parameters;</dd><dt>Fig. 13a</dt><dd>illustrates a method for calculating additional spatial upmix parameters;</dd><dt>Fig. 13b</dt><dd>illustrates a method for calculating using prediction parameters;</dd></dl><dl id="dl0002" compact="compact"><dt>Fig. 14</dt><dd>illustrates a general overview of an encoder/decoder system;</dd><dt>Fig. 15</dt><dd>illustrates a method of calculating prediction object parameters; and</dd><dt>Fig. 16</dt><dd>illustrates a method of stereo rendering.</dd></dl>

DESCRIPTION OF PREFERRED EMBODIMENTS

0015The below-described embodiments are merely illustrative for the principles of the present invention for <b>ENHANCED CODING AND PARAMETER REPRESENTATION OF MULTI-CHANNEL DOWNMIXED OBJECT CODING</b>. It is understood that modifications and variations of the arrangements and the details described herein will be apparent to others skilled in the art. It is the intent, therefore, to be limited only by the scope of the impending patent claims and not by the specific details presented by way of description and explanation of the embodiments herein.

0016Preferred embodiments provide a coding scheme that combines the functionality of an object coding scheme with the rendering capabilities of a multi-channel decoder. The transmitted control data is related to the individual objects and allows therefore a manipulation in the reproduction in terms of spatial position and level. Thus the control data is directly related to the so called scene description, giving information on the positioning of the objects. The scene description can be either controlled on the decoder side interactively by the listener or also on the encoder side by the producer.

0017A transcoder stage as taught by the invention is used to convert the object related control data and downmix signal into control data and a downmix signal that is related to the reproduction system, as e.g. the MPEG Surround decoder.

0018In the presented coding scheme the objects can be arbitrarily distributed in the available downmix, channels at the encoder. The transcoder makes explicit use of the multichannel downmix information, providing a transcoded downmix signal and object related control data. By this means the upmixing at the decoder is not done for all channels individually as proposed in [3], but all downmix channels are treated at the same time in one single upmixing process. In the new scheme the multichannel downmix information has to be part of the control data and is encoded by the object encoder.

0019The distribution of the objects into the downmix channels can be done in an automatic way or it can be a design choice on the encoder side. In the latter case one can design the downmix to be suitable for playback by an existing multi-channel reproduction scheme (e.g., Stereo reproduction system), featuring a reproduction and omitting the transcoding and multi-channel decoding stage. This is a further advantage over prior art coding schemes, consisting of a single downmix channel, or multiple downmix channels containing subsets of the source objects.

0020While object coding schemes of prior art solely describe the decoding process using a single downmix channel, the present invention does not suffer from this limitation as it supplies a method to jointly decode downmixes containing more than one channel downmix. The obtainable quality in the separation of objects increases by an increased number of downmix channels. Thus the invention successfully bridges the gap between an object coding scheme with a single mono downmix channel and multi-channel coding scheme where each object is transmitted in a separate channel. The proposed scheme thus allows flexible scaling of quality for the separation of objects according to requirements of the application and the properties of the transmission system (such as the channel capacity).

0021Furthermore, using more than one downmix channel is advantageous since it allows to additionally consider for correlation between the individual objects instead of restricting the description to intensity differences as in prior art object coding schemes. Prior art schemes rely on the assumption that all objects are independent and mutually uncorrelated (zero cross-correlation), while in reality objects are not unlikely to be correlated, as e.g. the left and right channel of a stereo signal. Incorporating correlation into the description (control data) as taught by the invention makes it more complete and thus facilitates additionally the capability to separate the objects.

0022Preferred embodiments comprise at least one of the following features:

0023A system for transmitting and creating a plurality of individual audio objects using a multi-channel downmix and additional control data describing the objects comprising: a spatial audio object encoder for encoding a plurality of audio objects into a multichannel downmix, information about the multichannel downmix, and object parameters; or a spatial audio object decoder for decoding a multichannel downmix, information about the multichannel downmix, object parameters, and an object rendering matrix into a second multichannel audio signal suitable for audio reproduction.

0024Fig. la illustrates the operation of spatial audio object coding (SAOC), comprising an SAOC encoder <b>101</b> and an SAOC decoder <b>104.</b> The spatial audio object encoder <b>101</b> encodes <i>N</i> objects into an object downmix consisting of <i>K</i> > 1 audio channels, according to encoder parameters. Information about the applied downmix weight matrix <b>D</b> is output by the SAOC encoder together with optional data concerning the power and correlation of the downmix. The matrix <b>D</b> is often, but not necessarily always, constant over time and frequency, and therefore represents a relatively low amount of information. Finally, the SAOC encoder extracts object parameters for each object as a function of both time and frequency at a resolution defined by perceptual considerations. The spatial audio object decoder <b>104</b> takes the object downmix channels, the downmix info, and the object parameters (as generated by the encoder) as input and generates an output with <i>M</i> audio channels for presentation to the user. The rendering of <i>N</i> objects into <i>M</i> audio channels makes use of a rendering matrix provided as user input to the SAOC decoder.

0025<figref idref="f0002">Fig. 1b</figref> illustrates the operation of spatial audio object coding reusing an MPEG Surround decoder. An SAOC decoder <b>104</b> taught by the current invention can be realized as an SAOC to MPEG Surround transcoder <b>102</b> and an stereo downmix based MPEG Surround decoder <b>103. A</b> user controlled rendering matrix <b>A</b> of size <i>M</i> × <i>N</i> defines the target rendering of the <i>N</i> objects to <i>M</i> audio channels. This matrix can depend on both time and frequency and it is the final output of a more user friendly interface for audio object manipulation (which can also make use of an externally provided scene description). In the case of a 5.1 speaker setup the number of output audio channels is <i>M</i> = 6. The task of the SAOC decoder is to perceptually recreate the target rendering of the original audio objects. The SAOC to MPEG Surround transcoder <b>102</b> takes as input the rendering matrix <b>A,</b> the object downmix, the downmix side information including the downmix weight matrix <b>D</b>, and the object side information, and generates a stereo downmix and MPEG Surround side information. When the transcoder is built according to the current invention, a subsequent MPEG Surround decoder <b>103</b> fed with this data will produce an <i>M</i> channel audio output with the desired properties.

0026An SAOC decoder taught by the current invention consists of an SAOC to MPEG Surround transcoder <b>102</b> and an stereo downmix based MPEG Surround decoder <b>103</b>. A user controlled rendering matrix <b>A</b> of size <i>M</i> × <i>N</i> defines the target rendering of the <i>N</i> objects to <i>M</i> audio channels. This matrix can depend on both time and frequency and it is the final output of a more user friendly interface for audio object manipulation. In the case of a 5.1 speaker setup the number of output audio channels is <i>M</i> = 6. The task of the SAOC decoder is to perceptually recreate the target rendering of the original audio objects. The SAOC to MPEG Surround transcoder <b>102</b> takes as input the rendering matrix <b>A</b>, the object downmix, the downmix side information including the downmix weight matrix <b>D ,</b> and the object side information, and generates a stereo downmix and MPEG Surround side information. When the transcoder is built according to the current invention, a subsequent MPEG Surround decoder <b>103</b> fed with this data will produce an <i>M</i> channel audio output with the desired properties.

0027<figref idref="f0003">Fig. 2</figref> illustrates the operation of a spatial audio object (SAOC) encoder <b>101</b> taught by current invention. The <i>N</i> audio objects are fed both into a downmixer <b>201</b> and an audio object parameter extractor <b>202.</b> The downmixer <b>201</b> mixes the objects into an object downmix consisting of <i>K</i> > 1 audio channels, according to the encoder parameters and also outputs downmix information. This information includes a description of the applied downmix weight matrix <b>D</b> and, optionally, if the subsequent audio object parameter extractor operates in prediction mode, parameters describing the power and correlation of the object downmix. As it will be discussed in a subsequent paragraph, the role of such additional parameters is to give access to the energy and correlation of subsets of rendered audio channels in the case where the object parameters are expressed only relative to the downmix, the principal example being the back/front cues for a 5.1 speaker setup. The audio object parameter extractor <b>202</b> extracts object parameters according to the encoder parameters. The encoder control determines on a time and frequency varying basis which one of two encoder modes is applied, the <i>energy based</i> or the <i>prediction based</i> mode. In the energy based mode, the encoder parameters further contains information on a grouping of the <i>N</i> audio objects into <i>P</i> stereo objects and <i>N-2P</i> mono objects. Each mode will be further described by <figref idref="f0004">Figures 3</figref> and <figref idref="f0005">4</figref>.

0028<figref idref="f0004">Fig. 3</figref> illustrates an audio object parameter extractor <b>202</b> operating in energy based mode. A grouping <b>301</b> into <i>P</i> stereo objects and <i>N -</i> 2<i>P</i> mono objects is performed according to grouping information contained in the encoder parameters. For each considered time frequency interval the following operations are then performed. Two object powers and one normalized correlation are extracted for each of the <i>P</i> stereo objects by the stereo parameter extractor <b>302.</b> One power parameter is extracted for each of the <i>N -</i> 2<i>P</i> mono objects by the mono parameter extractor <b>303.</b> The total set of <i>N</i> power parameters and <i>P</i> normalized correlation parameters is then encoded in <b>304</b> together with the grouping data to form the object parameters. The encoding can contain a normalization step with respect to the largest object power or with respect to the sum of extracted object powers.

0029<figref idref="f0005">Fig. 4</figref> illustrates an audio object parameter extractor <b>202</b> operating in prediction based mode. For each considered time frequency interval the following operations are performed. For each of the <i>N</i> objects, a linear combination of the <i>K</i> object downmix channels is derived which matches the given object in a least squares sense. The <i>K</i> weights of this linear combination are called Object Prediction Coefficients (OPC) and they are computed by the OPC extractor <b>401.</b> The total set of <i>N • K</i> OPC's are encoded in <b>402</b> to form the object parameters. The encoding can incorporate a reduction of total number of OPC's based on linear interdependencies. As taught by the present invention, this total number can be reduced to max{<i>K</i>•(<i>N</i>-<i>K</i>),0} if the downmix weight matrix <b>D</b> has full rank.

0030<figref idref="f0006">Fig. 5</figref> illustrates the structure of an SAOC to MPEG Surround transcoder <b>102</b> as taught by the current invention. For each time frequency interval, the downmix side information and the object parameters are combined with the rendering matrix by the parameter calculator <b>502</b> to form MPEG Surround parameters of type CLD, CPC, and ICC, and a downmix converter matrix <b>G</b> of size 2 × <i>K</i>. The downmix converter <b>501</b> converts the object downmix into a stereo downmix by applying a matrix operation according to the <b>G</b> matrices. In a simplified mode of the transcoder for <i>K</i> = 2 this matrix is the identity matrix and the object downmix is passed unaltered through as stereo downmix. This mode is illustrated in the drawing with the selector switch <b>503</b> in position A, whereas the normal operation mode has the switch in position <b>B</b>. An additional advantage of the transcoder is its usability as a stand alone application where the MPEG Surround parameters are ignored and the output of the downmix converter is used directly as a stereo rendering.

0031<figref idref="f0007">Fig. 6</figref> illustrates different operation modes of a downmix converter <b>501</b> as taught by the present invention. Given the transmitted object downmix in the format of a bitstream output from a <i>K</i> channel audio encoder, this bitstream is first decoded by the audio decoder <b>601</b> into <i>K</i> time domain audio signals. These signals are then all transformed to the frequency domain by an MPEG Surround hybrid QMF filter bank in the T/F unit <b>602.</b> The time and frequency varying matrix operation defined by the converter matrix data is performed on the resulting hybrid QMF domain signals by the matrixing unit <b>603</b> which outputs a stereo signal in the hybrid QMF domain. The hybrid synthesis unit <b>604</b> converts the stereo hybrid QMF domain signal into a stereo QMF domain signal. The hybrid QMF domain is defined in order to obtain better frequency resolution towards lower frequencies by means of a subsequent filtering of the QMF subbands. When, this subsequent filtering is defined by banks of Nyquist filters, the conversion from the hybrid to the standard QMF domain consists of simply summing groups of hybrid subband signals, see [<nplcit id="ncit0004" npl-type="s"><text>E. Schuijers, J. Breebart, and H. Purnhagen "Low complexity parametric stereo coding" Proc 116th AES convention Berlin ,Germany 2004</text></nplcit>, Preprint 6073]. This signal constitutes the first possible output format of the downmix converter as defined by the selector switch <b>607</b> in position A. Such a QMF domain signal can be fed directly into the corresponding QMF domain interface of an MPEG Surround decoder, and this is the most advantageous operation mode in terms of delay, complexity and quality. The next possibility is obtained by performing a QMF filter bank synthesis <b>605</b> in order to obtain a stereo time domain signal. With the selector switch <b>607</b> in position B the converter outputs a digital audio stereo signal that also can be fed into the time domain interface of a subsequent MPEG Surround decoder, or rendered directly in a stereo playback device. The third possibility with the selector switch <b>607</b> in position C is obtained by encoding the time domain stereo signal with a stereo audio encoder <b>606.</b> The output format of the downmix converter is then a stereo audio bitstream which is compatible with a core decoder contained in the MPEG decoder. This third mode of operation is suitable for the case where the SAOC to MPEG Surround transcoder is separated by the MPEG decoder by a connection that imposes restrictions on bitrate, or in the case where the user desires to store a particular object rendering for future playback.

0032<figref idref="f0008">Fig 7</figref> illustrates the structure of an MPEG Surround decoder for a stereo downmix. The stereo downmix is converted to three intermediate channels by the Two-To-Three (TTT) box. These intermediate channels are further split into two by the three One-To-Two (OTT) boxes to yield the six channels of a 5.1 channel configuration.

0033<figref idref="f0009">Fig. 8</figref> illustrates a practical use case including an SAOC encoder. An audio mixer <b>802</b> outputs a stereo signal (L and R) which typically is composed by combining mixer input signals (here input channels 1-6) and optionally additional inputs from effect returns such as reverb etc. The mixer also outputs an individual channel (here channel 5) from the mixer. This could be done e.g. by means of commonly used mixer functionalities such as "direct outputs" or "auxiliary send" in order to output an individual channel post any insert processes (such as dynamic processing and EQ). The stereo signal (L and R) and the individual channel output (obj5) are input to the SAOC encoder <b>801,</b> which is nothing but a special case of the SAOC encoder <b>101</b> in <figref idref="f0001 f0002">Fig. 1</figref>. However, it clearly illustrates a typical application where the audio object obj5 (containing e.g. speech) should be subject to user controlled level modifications at the decoder side while still being part of the stereo mix (L and R). From the concept it is also obvious that two or more audio objects could be connected to the "object input" panel in <b>801,</b> and moreover the stereo mix could be extended by an multichannel mix such as a 5. 1-mix.

0034In the text which follows, the mathematical description of the present invention will be outlined. For discrete complex signals <i>x</i>, <i>y</i> , the complex inner product and squared norm (energy) is defined by <maths id="math0001" num="(1)"><math display="block"><mfenced open="{" close="}"><mtable columnalign="left"><mtr><mtd><mo>〈</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>〉</mo><mo>=</mo><mstyle displaystyle="false"><mstyle displaystyle="true"><munder><mo>∑</mo><mi>k</mi></munder></mstyle><mi>x</mi><mfenced><mi>k</mi></mfenced><mo>⁢</mo><mover><mi>y</mi><mo>‾</mo></mover><mfenced><mi>k</mi></mfenced><mo>,</mo></mstyle></mtd></mtr><mtr><mtd><msup><mrow><mo>‖</mo><mi>x</mi><mo>‖</mo></mrow><mn>2</mn></msup><mo>=</mo><mo>〈</mo><mi>x</mi><mo>,</mo><mi>x</mi><mo>〉</mo><mo>=</mo><mstyle displaystyle="false"><mstyle displaystyle="true"><munder><mo>∑</mo><mi>k</mi></munder></mstyle><msup><mfenced open="|" close="|"><mi>x</mi><mfenced><mi>k</mi></mfenced></mfenced><mn>2</mn></msup></mstyle><mo>,</mo></mtd></mtr></mtable></mfenced></math><img file="EP2054875B1_D0001.tif" /></maths> where <i>y̅</i>(<i>k</i>) denotes the complex conjugate signal of <i>y(k) .</i> All signals considered here are subband samples from a modulated filter bank or windowed FFT analysis of discrete time signals. It is understood that these subbands have to be transformed back to the discrete time domain by corresponding synthesis filter bank operations. A signal block of <i>L</i> samples represents the signal in a time and frequency interval which is a part of the perceptually motivated tiling of the time-frequency plane which is applied for the description of signal properties. In this setting, the given audio objects can be represented as <i>N</i> rows of length <i>L</i> in a matrix, <maths id="math0002" num="(2)"><math display="block"><mi mathvariant="bold">S</mi><mo>=</mo><mfenced open="[" close="]"><mtable><mtr><mtd><msub><mi>s</mi><mn>1</mn></msub><mfenced><mn>0</mn></mfenced></mtd><mtd><msub><mi>s</mi><mn>1</mn></msub><mfenced><mn>1</mn></mfenced></mtd><mtd><mo>⋯</mo></mtd><mtd><msub><mi>s</mi><mn>1</mn></msub><mo>⁢</mo><mfenced><mi>L</mi><mo>-</mo><mn>1</mn></mfenced></mtd></mtr><mtr><mtd><msub><mi>s</mi><mn>2</mn></msub><mfenced><mn>0</mn></mfenced></mtd><mtd><msub><mi>s</mi><mn>2</mn></msub><mfenced><mn>1</mn></mfenced></mtd><mtd><mo>⋯</mo></mtd><mtd><msub><mi>s</mi><mn>2</mn></msub><mo>⁢</mo><mfenced><mi>L</mi><mo>-</mo><mn>1</mn></mfenced></mtd></mtr><mtr><mtd><mo>⋮</mo></mtd><mtd><mo>⋮</mo></mtd><mtd><mspace width="1em" /></mtd><mtd><mo>⋮</mo></mtd></mtr><mtr><mtd><msub><mi>s</mi><mi>N</mi></msub><mfenced><mn>0</mn></mfenced></mtd><mtd><msub><mi>s</mi><mi>N</mi></msub><mfenced><mn>1</mn></mfenced></mtd><mtd><mo>⋯</mo></mtd><mtd><msub><mi>s</mi><mi>N</mi></msub><mo>⁢</mo><mfenced><mi>L</mi><mo>-</mo><mn>1</mn></mfenced></mtd></mtr></mtable></mfenced><mn>.</mn></math><img file="EP2054875B1_D0002.tif" /></maths>

0035The downmix weight matrix <b>D</b> of size <b><i>K</i></b> × <i>N</i> where <i>K</i> > 1 determines the <i>K</i> channel downmix signal in the form of a matrix with <i>K</i> rows through the matrix multiplication <maths id="math0003" num="(3)"><math display="block"><mi mathvariant="bold">X</mi><mo mathvariant="bold">=</mo><mi mathvariant="bold">DS</mi><mn mathvariant="bold">.</mn></math><img file="EP2054875B1_D0003.tif" /></maths>

0036The user controlled object rendering matrix <b>A</b> of size <i>M</i> × <i>N</i> determines the <i>M</i> channel target rendering of the audio objects in the form of a matrix with <i>M</i> rows through the matrix multiplication <maths id="math0004" num="(4)"><math display="block"><mi mathvariant="bold">Y</mi><mo mathvariant="bold">=</mo><mi mathvariant="bold">AS</mi><mn mathvariant="bold">.</mn></math><img file="EP2054875B1_D0004.tif" /></maths>

0037Disregarding for a moment the effects of core audio coding, the task of the SAOC decoder is to generate an approximation in the perceptual sense of the target rendering <b>Y</b> of the original audio objects, given the rendering matrix <b>A</b> ,the downmix <b>X</b> the downmix matrix <b>D ,</b> and object parameters.

0038The object parameters in the <i>energy mode</i> taught by the present invention carry information about the covariance of the original objects. In a deterministic version convenient for the subsequent derivation and also descriptive of the typical encoder operations, this covariance is given in un-normalized form by the matrix product <b>SS^•</b> where the star denotes the complex conjugate transpose matrix operation. Hence, energy mode object parameters furnish a positive semi-definite <i>N</i> × <i>N</i> matrix <b>E</b> such that, possibly up to a scale factor, <maths id="math0005" num="(5)"><math display="block"><mi mathvariant="bold">S</mi><mo>⁢</mo><msup><mi mathvariant="bold">S</mi><mo mathvariant="bold">*</mo></msup><mo mathvariant="bold">≈</mo><mi mathvariant="bold">E</mi><mn mathvariant="bold">.</mn></math><img file="EP2054875B1_D0005.tif" /></maths>

0039Prior art audio object coding frequently considers an object model where all objects are uncorrelated. In this case the matrix <b>E</b> is diagonal and contains only an approximation to the object energies <i>s_n</i> = ∥<i>S_n</i>∥² for <i>n</i> =1,2,..., <i>N .</i> The object parameter extractor according to <figref idref="f0004">Fig 3</figref>, allows for an important refinement of this idea, particularly relevant in cases where the objects are furnished as stereo signals for which the assumptions on absence of correlation does not hold. A grouping of <i>P</i> selected stereo pairs of objects is described by the index sets {(n_p, m_p)<i>, p</i> =1,2,...,<i>P</i>} . For these stereo pairs the correlation (<i>S</i>_n,<i>S</i>_m) is computed and the complex, real, or absolute value of the normalized correlation (ICC) <maths id="math0006" num="(6)"><math display="block"><msub><mi>ρ</mi><mrow><mi>n</mi><mo>,</mo><mi>m</mi></mrow></msub><mo>=</mo><mfrac><mrow><mo>〈</mo><msub><mi>s</mi><mi>n</mi></msub><mo>,</mo><msub><mi>s</mi><mi>m</mi></msub><mo>〉</mo></mrow><mrow><mo>‖</mo><msub><mi>s</mi><mi>n</mi></msub><mo>‖</mo><mo>‖</mo><msub><mi>s</mi><mi>m</mi></msub><mo>‖</mo></mrow></mfrac></math><img file="EP2054875B1_D0006.tif" /></maths> is extracted by the stereo parameter extractor <b>302.</b> At the decoder, the ICC data can then be combined with the energies in order to form a matrix <b>E</b> with 2<i>P</i> off diagonal entries. For instance for a total of <i>N</i> = 3 objects of which the first two consists a single pair (1,2), the transmitted energy and correlation data is <i>S</i>₁,<i>S</i>₂,<i>S</i>₃ and <i>ρ</i>_1.2. In this case, the combination into the matrix <b>E</b> yields <maths id="math0007"><math display="block"><mi mathvariant="bold">E</mi><mo>=</mo><mfenced open="[" close="]"><mtable><mtr><mtd><msub><mi>S</mi><mn>1</mn></msub></mtd><mtd><msub><mi>ρ</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub><mo>⁢</mo><msqrt><msub><mi>S</mi><mn>1</mn></msub><mo>⁢</mo><msub><mi>S</mi><mn>2</mn></msub></msqrt></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><msubsup><mi>ρ</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn></mrow><mo>*</mo></msubsup><mo>⁢</mo><msqrt><msub><mi>S</mi><mn>1</mn></msub><mo>⁢</mo><msub><mi>S</mi><mn>2</mn></msub></msqrt></mtd><mtd><msub><mi>S</mi><mn>2</mn></msub></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><msub><mi>S</mi><mn>3</mn></msub></mtd></mtr></mtable></mfenced></math><img file="EP2054875B1_D0007.tif" /></maths>

0040The object parameters in <i>the prediction mode</i> taught by the present invention aim at making <i>an N</i> × <i>K</i> object prediction coefficient (OPC) matrix <b>C</b> available to the decoder such that <maths id="math0008" num="(7)"><math display="block"><mi mathvariant="bold">S</mi><mo>≈</mo><mi mathvariant="bold">CX</mi><mo>=</mo><mi mathvariant="bold">CDS</mi><mn>.</mn></math><img file="EP2054875B1_D0008.tif" /></maths>

0041In other words for each object there is a linear combination of the downmix channels such that the object can be recovered approximately by <maths id="math0009" num="(8)"><math display="block"><msub><mi>s</mi><mi>n</mi></msub><mfenced><mi>k</mi></mfenced><mo>≈</mo><msub><mi>c</mi><mrow><mi>n</mi><mo>,</mo><mn>1</mn></mrow></msub><mo>⁢</mo><msub><mi>x</mi><mn>1</mn></msub><mfenced><mi>k</mi></mfenced><mo>+</mo><mo>…</mo><mo>+</mo><msub><mi>c</mi><mrow><mi>n</mi><mo>,</mo><mi>K</mi></mrow></msub><mo>⁢</mo><msub><mi>x</mi><mi>K</mi></msub><mfenced><mi>k</mi></mfenced><mn>.</mn></math><img file="EP2054875B1_D0009.tif" /></maths>

0042In a preferred embodiment, the OPC extractor <b>401</b> solves the normal equations <maths id="math0010" num="(9)"><math display="block"><mi mathvariant="bold">CXX</mi><mo mathvariant="bold">*</mo><mo mathvariant="bold">=</mo><mi mathvariant="bold">SX</mi><mo mathvariant="bold">*</mo><mo>,</mo></math><img file="EP2054875B1_D0010.tif" /></maths> or, for the more attractive real valued OPC case, it solves <maths id="math0011" num="(10)"><math display="block"><mi mathvariant="bold">CRe</mi><mfenced open="{" close="}"><mi mathvariant="bold">XX</mi><mo mathvariant="bold">*</mo></mfenced><mo mathvariant="bold">=</mo><mi mathvariant="bold">Re</mi><mfenced open="{" close="}"><mi mathvariant="bold">SX</mi><mo mathvariant="bold">*</mo></mfenced><mn mathvariant="bold">.</mn></math><img file="EP2054875B1_D0011.tif" /></maths>

0043In both cases, assuming a real valued downmix weight matrix <b>D</b>, and a non-singular downmix covariance, it follows by multiplication from the left with <b>D</b> that <maths id="math0012" num="(11)"><math display="block"><mi mathvariant="bold">DC</mi><mo mathvariant="bold">=</mo><mi mathvariant="bold">I</mi><mo mathvariant="bold">,</mo></math><img file="EP2054875B1_D0012.tif" /></maths> where <b>I</b> is the identity matrix of size <i>K</i>. If <b>D</b> has full rank it follows by elementary linear algebra that the set of solutions to (9) can be parameterized by max{K• (N-K),0} parameters. This is exploited in the joint encoding in <b>402</b> of the OPC data. The full prediction matrix <b>C</b> can be recreated at the decoder from the reduced set of parameters and the downmix matrix.

0044For instance, consider for a stereo downmix (<i>K</i> = 2) the case of three objects (<i>N</i> = 3) comprising a stereo music track (<i>s</i>₁,<i>s</i>₂) and a center panned single instrument or voice track <i>s</i>₃ . The downmix matrix is <maths id="math0013" num="(12)"><math display="block"><mi mathvariant="bold">D</mi><mo>=</mo><mfenced open="[" close="]"><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn><mo>/</mo><msqrt><mn>2</mn></msqrt></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn><mo>/</mo><msqrt><mn>2</mn></msqrt></mtd></mtr></mtable></mfenced><mo>,</mo></math><img file="EP2054875B1_D0013.tif" /></maths>

0045That is, the downmix left channel is <maths id="math0014"><math display="inline"><msqrt><mn>2</mn></msqrt></math><img file="EP2054875B1_D0014.tif" /></maths>and the right channel is <maths id="math0015"><math display="inline"><msqrt><mn>2</mn></msqrt><mn>.</mn></math><img file="EP2054875B1_D0015.tif" /></maths>. The OPC's for the single track aim at approximating <i>s</i>₃ ≈ <i>c</i>₃₁<i>x</i>₁ + <i>c</i>₃₂<i>x</i>₂ and the equation (11) can in this case be solved to achieve <maths id="math0016"><math display="inline"><msqrt><mn>2</mn></msqrt><mo>,</mo></math><img file="EP2054875B1_D0016.tif" /></maths><maths id="math0017"><math display="inline"><msqrt><mn>2</mn></msqrt><mo>,</mo></math><img file="EP2054875B1_D0017.tif" /></maths><maths id="math0018"><math display="inline"><msqrt><mn>2</mn></msqrt><mo>,</mo></math><img file="EP2054875B1_D0018.tif" /></maths> and <maths id="math0019"><math display="inline"><msqrt><mn>2</mn></msqrt><mn>.</mn></math><img file="EP2054875B1_D0019.tif" /></maths> Hence the number of OPC's which suffice is given by <i>K</i>(<i>N</i>-<i>K</i>)<i>=</i>2·<i>(</i>3-2)=2.

0046The OPC's <i>c</i>₃₁,<i>c</i>₃₂ can be found from the normal equations <maths id="math0020"><math display="block"><mfenced open="[" close="]"><msub><mi>c</mi><mn>31</mn></msub><msub><mi>c</mi><mn>32</mn></msub></mfenced><mo>⁢</mo><mfenced open="[" close="]"><mtable><mtr><mtd><mo>‖</mo><msub><mi>x</mi><mn>1</mn></msub><mo>‖</mo></mtd><mtd><mo>〈</mo><msub><mi>x</mi><mn>1</mn></msub><mo>,</mo><msub><mi>x</mi><mn>2</mn></msub><mo>〉</mo></mtd></mtr><mtr><mtd><mo>〈</mo><msub><mi>x</mi><mn>2</mn></msub><mo>,</mo><msub><mi>x</mi><mn>1</mn></msub><mo>〉</mo></mtd><mtd><mo>‖</mo><msub><mi>x</mi><mn>2</mn></msub><mo>‖</mo></mtd></mtr></mtable></mfenced><mo>=</mo><mfenced open="[" close="]"><mo>〈</mo><msub><mi>s</mi><mn>3</mn></msub><mo>,</mo><msub><mi>x</mi><mn>1</mn></msub><mo>〉</mo><mo>,</mo><mo>〈</mo><msub><mi>s</mi><mn>3</mn></msub><mo>,</mo><msub><mi>x</mi><mn>2</mn></msub><mo>〉</mo></mfenced></math><img file="EP2054875B1_D0020.tif" /></maths>

SAOC to MPEG Surround transcoder

0047Referring to <figref idref="f0008">Figure.7</figref>, the <i>M</i> = 6 output channels of the 5.1 configuration are (<i>y</i>₁,<i>y</i>₂,...<i>,y</i>₆)=(<i>l_f</i>,<i>l_s,r_f,r_s,c,lƒe</i>)<i>.</i> The transcoder has to output a stereo downmix (<i>l</i>₀,<i>r</i>₀) and parameters for the TTT and OTT boxes. As the focus is now on stereo downmix it will be assumed in the following that K=2. As both the object parameters and the MPS TTT parameters exist in both an energy mode and a prediction mode, all four combinations have to be considered. The energy mode is a suitable choice for instance in case the downmix audio coder is not of waveform coder in the considered frequency interval. It is understood that the MPEG Surround parameters derived in the following text have to be properly quantized and coded prior to their transmission.

0048To further clarify the four combination mentioned above, these comprise <ol id="ol0001" compact="compact"><li>1. Object parameters in energy mode and transcoder in prediction mode</li><li>2. Object parameters in energy mode and transcoder in energy mode</li><li>3. Object parameters in prediction mode (OPC) and transcoder in prediction mode</li><li>4. Object parameters in prediction mode (OPC) and transcoder in energy mode</li></ol>

0049If the downmix audio coder is a waveform coder in the considered frequency interval, the object parameters can be in both energy or prediction mode, but the transcoder should preferably operate in prediction mode. If the downmix audio coder is not a waveform coder the in the considered frequency interval, the object encoder and the and the transcoder should both operate in energy mode. The fourth combination is of less relevance so the subsequent description will address the first three combinations only.

Object parameters given in energy mode

0050In energy mode, the data available to the transcoder is described by the triplet of matrices (<b>D</b>,<b>E</b>,<b>A</b>). The MPEG Surround OTT parameters are obtained by performing energy and correlation estimates on a virtual rendering derived from the transmitted parameters and the 6 × <i>N</i> rendering matrix <b>A</b>. The six channel target covariance is given by <maths id="math0021" num="(13)*"><math display="block"><mi mathvariant="bold">Y</mi><mo>⁢</mo><msup><mi mathvariant="bold">Y</mi><mo mathvariant="bold">*</mo></msup><mo mathvariant="bold">=</mo><mi mathvariant="bold">AS</mi><mo>⁢</mo><msup><mfenced><mi mathvariant="bold">AS</mi></mfenced><mo mathvariant="bold">*</mo></msup><mo mathvariant="bold">=</mo><mi mathvariant="bold">A</mi><mfenced><mi mathvariant="bold">S</mi><mo>⁢</mo><msup><mi mathvariant="bold">S</mi><mo mathvariant="bold">*</mo></msup></mfenced><mo>⁢</mo><msup><mi mathvariant="bold">A</mi><mo mathvariant="bold">*</mo></msup><mo mathvariant="bold">,</mo></math><img file="EP2054875B1_D0021.tif" /></maths>

0051Inserting (5) into (13) yields the approximation <maths id="math0022" num="(14)"><math display="block"><mi mathvariant="bold">Y</mi><mo>⁢</mo><msup><mi mathvariant="bold">Y</mi><mo mathvariant="bold">*</mo></msup><mo>≈</mo><mi mathvariant="bold">F</mi><mo>=</mo><mi mathvariant="bold">AE</mi><mo>⁢</mo><msup><mi mathvariant="bold">A</mi><mo mathvariant="bold">*</mo></msup><mo>,</mo></math><img file="EP2054875B1_D0022.tif" /></maths> which is fully defined by the available data. Let <i>ƒ_H</i> denote the elements of <b>F</b>. Then the CLD and ICC parameters are read from <maths id="math0023" num="(15)"><math display="block"><mi mathvariant="italic">CL</mi><mo>⁢</mo><msub><mi>D</mi><mn>0</mn></msub><mo>=</mo><mn>10</mn><mo>⁢</mo><msub><mi>log</mi><mn>10</mn></msub><mfenced><mfrac><msub><mi>f</mi><mn>55</mn></msub><msub><mi>f</mi><mn>66</mn></msub></mfrac></mfenced><mo>,</mo></math><img file="EP2054875B1_D0023.tif" /></maths><maths id="math0024" num="(16)"><math display="block"><mi mathvariant="italic">CL</mi><mo>⁢</mo><msub><mi>D</mi><mn>1</mn></msub><mo>=</mo><mn>10</mn><mo>⁢</mo><msub><mi>log</mi><mn>10</mn></msub><mfenced><mfrac><msub><mi>f</mi><mn>33</mn></msub><msub><mi>f</mi><mn>44</mn></msub></mfrac></mfenced><mo>,</mo></math><img file="EP2054875B1_D0024.tif" /></maths><maths id="math0025" num="(17)"><math display="block"><mi mathvariant="italic">CL</mi><mo>⁢</mo><msub><mi>D</mi><mn>2</mn></msub><mo>=</mo><mn>10</mn><mo>⁢</mo><msub><mi>log</mi><mn>10</mn></msub><mfenced><mfrac><msub><mi>f</mi><mn>11</mn></msub><msub><mi>f</mi><mn>22</mn></msub></mfrac></mfenced><mo>,</mo></math><img file="EP2054875B1_D0025.tif" /></maths><maths id="math0026" num="(18)"><math display="block"><mi mathvariant="italic">IC</mi><mo>⁢</mo><msub><mi>C</mi><mn>1</mn></msub><mo>=</mo><mfrac><mrow><mi>ϕ</mi><mfenced><msub><mi>f</mi><mn>34</mn></msub></mfenced></mrow><msqrt><msub><mi>f</mi><mn>33</mn></msub><mo>⁢</mo><msub><mi>f</mi><mn>44</mn></msub></msqrt></mfrac><mo>,</mo></math><img file="EP2054875B1_D0026.tif" /></maths><maths id="math0027" num="(19)"><math display="block"><mi mathvariant="italic">IC</mi><mo>⁢</mo><msub><mi>C</mi><mn>2</mn></msub><mo>=</mo><mfrac><mrow><mi>ϕ</mi><mfenced><msub><mi>f</mi><mn>12</mn></msub></mfenced></mrow><msqrt><msub><mi>f</mi><mn>11</mn></msub><mo>⁢</mo><msub><mi>f</mi><mn>22</mn></msub></msqrt></mfrac><mo>,</mo></math><img file="EP2054875B1_D0027.tif" /></maths> where ϕ is either the absolute value <i>ϕ</i>(<i>z</i>) = |<i>z</i>| or real value operator <i>ϕ</i>(<i>z</i>) = Re{<i>z</i>} .

0052As an illustrative example, consider the case of three objects previously described in relation to equation (12). Let the rendering matrix be given by <maths id="math0028"><math display="block"><mi mathvariant="bold">A</mi><mo>=</mo><mfenced open="[" close="]"><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced><mn>.</mn></math><img file="EP2054875B1_D0028.tif" /></maths>

0053The target rendering thus consists of placing object 1 between right front and right surround, object 2 between left front and left surround, and object 3 in both right front, center, and lfe. Assume also for simplicity that the three objects are uncorrelated and all have the same energy such that <maths id="math0029"><math display="block"><mi mathvariant="bold">E</mi><mo>=</mo><mfenced open="[" close="]"><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced><mn>.</mn></math><img file="EP2054875B1_D0029.tif" /></maths>

0054In this case, the right hand side of formula (14) becomes <maths id="math0030"><math display="block"><mi mathvariant="bold">F</mi><mo>=</mo><mfenced open="[" close="]"><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>2</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced><mn>.</mn></math><img file="EP2054875B1_D0030.tif" /></maths>

0055Inserting the appropriate values into formulas (15)-(19) then yields <maths id="math0031"><math display="block"><mi mathvariant="italic">CL</mi><mo>⁢</mo><msub><mi>D</mi><mn>0</mn></msub><mo>=</mo><mn>10</mn><mo>⁢</mo><msub><mi>log</mi><mn>10</mn></msub><mfenced><mfrac><msub><mi>f</mi><mn>55</mn></msub><msub><mi>f</mi><mn>66</mn></msub></mfrac></mfenced><mo>=</mo><mn>10</mn><mo>⁢</mo><msub><mi>log</mi><mn>10</mn></msub><mfenced><mfrac><mn>1</mn><mn>1</mn></mfrac></mfenced><mo>=</mo><mn>0</mn><mo>⁢</mo><mi>dB</mi><mo>,</mo></math><img file="EP2054875B1_D0031.tif" /></maths><maths id="math0032"><math display="block"><mi mathvariant="italic">CL</mi><mo>⁢</mo><msub><mi>D</mi><mn>1</mn></msub><mo>=</mo><mn>10</mn><mo>⁢</mo><msub><mi>log</mi><mn>10</mn></msub><mfenced><mfrac><msub><mi>f</mi><mn>33</mn></msub><msub><mi>f</mi><mn>44</mn></msub></mfrac></mfenced><mo>=</mo><mn>10</mn><mo>⁢</mo><msub><mi>log</mi><mn>10</mn></msub><mfenced><mfrac><mn>2</mn><mn>1</mn></mfrac></mfenced><mo>=</mo><mn>3</mn><mo>⁢</mo><mi>dB</mi><mo>,</mo></math><img file="EP2054875B1_D0032.tif" /></maths><maths id="math0033"><math display="block"><mi mathvariant="italic">CL</mi><mo>⁢</mo><msub><mi>D</mi><mn>2</mn></msub><mo>=</mo><mn>10</mn><mo>⁢</mo><msub><mi>log</mi><mn>10</mn></msub><mfenced><mfrac><msub><mi>f</mi><mn>11</mn></msub><msub><mi>f</mi><mn>22</mn></msub></mfrac></mfenced><mo>=</mo><mn>10</mn><mo>⁢</mo><msub><mi>log</mi><mn>10</mn></msub><mfenced><mfrac><mn>1</mn><mn>1</mn></mfrac></mfenced><mo>=</mo><mn>0</mn><mo>⁢</mo><mi>dB</mi><mo>,</mo></math><img file="EP2054875B1_D0033.tif" /></maths><maths id="math0034"><math display="block"><mi mathvariant="italic">IC</mi><mo>⁢</mo><msub><mi>C</mi><mn>1</mn></msub><mo>=</mo><mfrac><mrow><mi>ϕ</mi><mfenced><msub><mi>f</mi><mn>34</mn></msub></mfenced></mrow><msqrt><msub><mi>f</mi><mn>33</mn></msub><mo>⁢</mo><msub><mi>f</mi><mn>44</mn></msub></msqrt></mfrac><mo>=</mo><mfrac><mrow><mi>ϕ</mi><mfenced><mn>1</mn></mfenced></mrow><msqrt><mn>2</mn><mo>⋅</mo><mn>1</mn></msqrt></mfrac><mo>=</mo><mfrac><mn>1</mn><msqrt><mn>2</mn></msqrt></mfrac><mo>,</mo></math><img file="EP2054875B1_D0034.tif" /></maths><maths id="math0035"><math display="block"><mi mathvariant="italic">IC</mi><mo>⁢</mo><msub><mi>C</mi><mn>2</mn></msub><mo>=</mo><mfrac><mrow><mi>ϕ</mi><mfenced><msub><mi>f</mi><mn>12</mn></msub></mfenced></mrow><msqrt><msub><mi>f</mi><mn>11</mn></msub><mo>⁢</mo><msub><mi>f</mi><mn>22</mn></msub></msqrt></mfrac><mo>=</mo><mfrac><mrow><mi>ϕ</mi><mfenced><mn>1</mn></mfenced></mrow><msqrt><mn>1</mn><mo>⋅</mo><mn>1</mn></msqrt></mfrac><mo>=</mo><mn>1</mn><mo>,</mo></math><img file="EP2054875B1_D0035.tif" /></maths>

0056As a consequence, the MPEG surround decoder will be instructed to use some decorrelation between right front and right surround but no decorrelation between left front and left surround.

0057For the MPEG Surround TTT parameters in prediction mode, the first step is to form a reduced rendering matrix <b>A</b>₃ of size 3 × <i>N</i> for the combined channels (<i>l</i>,<i>r</i>,<i>qc</i>) where <maths id="math0036"><math display="inline"><msqrt><mn>2</mn></msqrt><mn>.</mn></math><img file="EP2054875B1_D0036.tif" /></maths> It holds that <b>A</b>₃ = <b>D</b>₃₆<b>A</b> where the 6 to 3 partial downmix matrix is defined by <maths id="math0037" num="(20)"><math display="block"><msub><mi mathvariant="bold">D</mi><mn>36</mn></msub><mo>=</mo><mfenced open="[" close="]"><mtable><mtr><mtd><msub><mi>w</mi><mn>1</mn></msub></mtd><mtd><msub><mi>w</mi><mn>1</mn></msub></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><msub><mi>w</mi><mn>2</mn></msub></mtd><mtd><msub><mi>w</mi><mn>2</mn></msub></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mi>q</mi><mo>⁢</mo><msub><mi>w</mi><mn>3</mn></msub></mtd><mtd><mi>q</mi><mo>⁢</mo><msub><mi>w</mi><mn>3</mn></msub></mtd></mtr></mtable></mfenced><mn>.</mn></math><img file="EP2054875B1_D0037.tif" /></maths>

0058The partial downmix weights <i>w_p</i>, <i>p</i>=1,2,3 are adjusted such that the energy of <i>w_p</i> (<i>y</i>_2<i>p</i>-1+<i>y</i>_2<i>p</i>) is equal to the sum of energies∥y_2p-1∥² +∥y_2p∥² up to a limit factor. All the data required to derive the partial downmix matrix <b>D</b>₃₆ is available in <b>F</b>. Next, a prediction matrix <b>C</b>₃ of size 3 × 2 is produced such that <maths id="math0038" num="(21)"><math display="block"><msub><mi mathvariant="bold">C</mi><mn mathvariant="bold">3</mn></msub><mo>⁢</mo><mi mathvariant="bold">X</mi><mo mathvariant="bold">≈</mo><msub><mi mathvariant="bold">A</mi><mn mathvariant="bold">3</mn></msub><mo>⁢</mo><mi mathvariant="bold">S</mi><mo mathvariant="bold">,</mo></math><img file="EP2054875B1_D0038.tif" /></maths>

0059Such a matrix is preferably derived by considering first the normal equations <maths id="math0039"><math display="block"><msub><mi mathvariant="bold">C</mi><mn mathvariant="bold">3</mn></msub><mfenced><msup><mi mathvariant="bold">DED</mi><mo mathvariant="bold">*</mo></msup></mfenced><mo mathvariant="bold">=</mo><msub><mi mathvariant="bold">A</mi><mn mathvariant="bold">3</mn></msub><mo>⁢</mo><msup><mi mathvariant="bold">ED</mi><mo mathvariant="bold">*</mo></msup><mo mathvariant="bold">,</mo></math><img file="EP2054875B1_D0039.tif" /></maths>

0060The solution to the normal equations yields the best possible waveform match for (21) given the object covariance model <b>E</b>. Some post processing of the matrix <b>C</b>₃ is preferable, including row factors for a total or individual channel based prediction loss compensation.

0061To illustrate and clarify the steps above, consider a continuation of the specific six channel rendering example given above. In terms of the matrix elements of <b>F</b> , the downmix weights are solutions to the equations <maths id="math0040"><math display="block"><msubsup><mi>w</mi><mi>p</mi><mn>2</mn></msubsup><mo>⁢</mo><mfenced><msub><mi>f</mi><mrow><mn>2</mn><mo>⁢</mo><mi>p</mi><mo>-</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>⁢</mo><mi>p</mi><mo>-</mo><mn>1</mn></mrow></msub><mo>+</mo><msub><mi>f</mi><mrow><mn>2</mn><mo>⁢</mo><mi>p</mi><mo>,</mo><mn>2</mn><mo>⁢</mo><mi>p</mi></mrow></msub><mo>+</mo><mn>2</mn><mo>⁢</mo><msub><mi>f</mi><mrow><mn>2</mn><mo>⁢</mo><mi>p</mi><mo>-</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>⁢</mo><mi>p</mi></mrow></msub></mfenced><mo>=</mo><msub><mi>f</mi><mrow><mn>2</mn><mo>⁢</mo><mi>p</mi><mo>-</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>⁢</mo><mi>p</mi><mo>-</mo><mn>1</mn></mrow></msub><mo>+</mo><msub><mi>f</mi><mrow><mn>2</mn><mo>⁢</mo><mi>p</mi><mo>,</mo><mn>2</mn><mo>⁢</mo><mi>p</mi></mrow></msub><mo>,</mo><mspace width="1em" /><mi>p</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo></math><img file="EP2054875B1_D0040.tif" /></maths> which in the specific example becomes, <maths id="math0041"><math display="block"><mfenced open="{" close="}"><mtable><mtr><mtd><msubsup><mi>w</mi><mn>1</mn><mn>2</mn></msubsup><mo>⁢</mo><mfenced><mn>1</mn><mo>+</mo><mn>1</mn><mo>+</mo><mn>2</mn><mo>⋅</mo><mn>1</mn></mfenced><mo>=</mo><mn>1</mn><mo>+</mo><mn>1</mn></mtd></mtr><mtr><mtd><msubsup><mi>w</mi><mn>2</mn><mn>2</mn></msubsup><mo>⁢</mo><mfenced><mn>2</mn><mo>+</mo><mn>1</mn><mo>+</mo><mn>2</mn><mo>⋅</mo><mn>1</mn></mfenced><mo>=</mo><mn>2</mn><mo>+</mo><mn>1</mn></mtd></mtr><mtr><mtd><msubsup><mi>w</mi><mn>3</mn><mn>2</mn></msubsup><mo>⁢</mo><mfenced><mn>1</mn><mo>+</mo><mn>1</mn><mo>+</mo><mn>2</mn><mo>⋅</mo><mn>1</mn></mfenced><mo>=</mo><mn>1</mn><mo>+</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mo>,</mo></math><img file="EP2054875B1_D0041.tif" /></maths>

0062Such that, <maths id="math0042"><math display="inline"><mfenced><msub><mi>w</mi><mn>1</mn></msub><msub><mi>w</mi><mn>2</mn></msub><msub><mi>w</mi><mn>3</mn></msub></mfenced><mo>=</mo><mfenced><mn>1</mn><mo>/</mo><msqrt><mn>2</mn></msqrt><mo>,</mo><msqrt><mn>3</mn><mo>/</mo><mn>5</mn></msqrt><mo>,</mo><mn>1</mn><mo>/</mo><msqrt><mn>2</mn></msqrt></mfenced><mn>.</mn></math><img file="EP2054875B1_D0042.tif" /></maths>Insertion into (20) gives, <maths id="math0043"><math display="block"><msub><mi mathvariant="bold">A</mi><mn>3</mn></msub><mo>=</mo><msub><mi mathvariant="bold">D</mi><mn>36</mn></msub><mo>⁢</mo><mi mathvariant="bold">A</mi><mo>=</mo><mfenced open="[" close="]"><mtable><mtr><mtd><mn>0</mn></mtd><mtd><msqrt><mn>2</mn></msqrt></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>2</mn><mo>⁢</mo><msqrt><mfrac><mn>3</mn><mn>5</mn></mfrac></msqrt></mtd><mtd><mn>0</mn></mtd><mtd><msqrt><mfrac><mn>3</mn><mn>5</mn></mfrac></msqrt></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced><mn>.</mn></math><img file="EP2054875B1_D0043.tif" /></maths>

0063By solving the system of equations <b>C</b>₃ (<b>DED</b>^•) = <b>A</b>₃<b>ED</b>^• one then finds, (switching now to finite precision), <maths id="math0044"><math display="block"><msub><mi mathvariant="bold">C</mi><mn>3</mn></msub><mo>=</mo><mfenced open="[" close="]"><mtable><mtr><mtd><mo>-</mo><mn>0.3536</mn></mtd><mtd><mn>1.0607</mn></mtd></mtr><mtr><mtd><mn>1.4358</mn></mtd><mtd><mo>-</mo><mn>0.1134</mn></mtd></mtr><mtr><mtd><mn>0.3536</mn></mtd><mtd><mn>0.3536</mn></mtd></mtr></mtable></mfenced><mn>.</mn></math><img file="EP2054875B1_D0044.tif" /></maths>

0064The matrix <b>C</b>₃ contains the best weights for obtaining an approximation to the desired object rendering to the combined channels (<i>l,r,qc</i>) from the object downmix. This general type of matrix operation cannot be implemented by the MPEG surround decoder, which is tied to a limited space of TTT matrices through the use of only two parameters. The object of the inventive downmix converter is to pre-process the object downmix such that the combined effect of the pre-processing and the MPEG Surround TTT matrix is identical to the desired upmix described by <b>C</b>₃.

0065In MPEG Surround, the TTT matrix for prediction of (<i>l,r,qc</i>) from (<i>l₀</i>,<i>r</i>₀) is parameterized by three parameters (<i>α</i>,<i>β</i>,<i>γ</i>) via <maths id="math0045" num="(22)"><math display="block"><msub><mi mathvariant="normal">C</mi><mi>TTT</mi></msub><mo>=</mo><mfrac><mi>γ</mi><mn>3</mn></mfrac><mo>⁢</mo><mfenced open="[" close="]"><mtable><mtr><mtd><mi>α</mi><mo>+</mo><mn>2</mn></mtd><mtd><mi>β</mi><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>α</mi><mo>-</mo><mn>1</mn></mtd><mtd><mi>β</mi><mo>+</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>1</mn><mo>-</mo><mi>α</mi></mtd><mtd><mn>1</mn><mo>-</mo><mi>β</mi></mtd></mtr></mtable></mfenced><mn>.</mn></math><img file="EP2054875B1_D0045.tif" /></maths>

0066The downmix converter matrix <b>G</b> taught by the present invention is obtained by choosing <i>γ</i>=1 and solving the system of equations <maths id="math0046" num="(23)"><math display="block"><msub><mi mathvariant="bold">C</mi><mi mathvariant="bold">TTT</mi></msub><mo>⁢</mo><mi mathvariant="bold">G</mi><mo mathvariant="bold">=</mo><msub><mi mathvariant="bold">C</mi><mn mathvariant="bold">3</mn></msub><mn mathvariant="bold">.</mn></math><img file="EP2054875B1_D0046.tif" /></maths>

0067As it can easily be verified, it holds that <b>D</b>_TTT<b>C</b>_TTT = <b>I</b> where <b>I</b> is the two by two identity matrix and <maths id="math0047" num="(24)"><math display="block"><msub><mi mathvariant="bold">D</mi><mi mathvariant="bold">TTT</mi></msub><mo>=</mo><mfenced open="[" close="]"><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced><mn>.</mn></math><img file="EP2054875B1_D0047.tif" /></maths>

0068Hence, a matrix multiplication from the left by <b>D</b>_TTT of both sides of (23) leads to <maths id="math0048"><math display="block"><mi mathvariant="bold">G</mi><mo>=</mo><msub><mi mathvariant="bold">D</mi><mrow><mi mathvariant="normal">T</mi><mo>⁢</mo><mi mathvariant="normal">T</mi><mo>⁢</mo><mi mathvariant="normal">T</mi></mrow></msub><mo>⁢</mo><msub><mi mathvariant="bold">C</mi><mn>3</mn></msub><mn>.</mn></math><img file="EP2054875B1_D0048.tif" /></maths>

0069In the generic case, <b>G</b> will be invertible and (23) has a unique solution for <b>C</b>_TTT which obeys <b>D</b>_TTT<b>C</b>_TTT = <b>I</b> . The TTT parameters (<i>α</i>,<i>β</i>) are determined by this solution.

0070For the previously considered specific example, it can be easily verified that the solutions are given by <maths id="math0049"><math display="block"><mi mathvariant="bold">G</mi><mo>=</mo><mfenced open="[" close="]"><mtable columnalign="right"><mtr><mtd><mn>0</mn></mtd><mtd><mn>1.4142</mn></mtd></mtr><mtr><mtd><mn>1.7893</mn></mtd><mtd><mn>0.2401</mn></mtd></mtr></mtable></mfenced><mspace width="1em" /><mi>and</mi><mspace width="1em" /><mfenced><mi>α</mi><mi>β</mi></mfenced><mo>=</mo><mfenced><mn>0.3506</mn><mn>0.4072</mn></mfenced><mn>.</mn></math><img file="EP2054875B1_D0049.tif" /></maths>

0071Note that a principal part of the stereo downmix is swapped between left and right for this converter matrix, which reflects the fact that the rendering example places objects that are in the left object downmix channel in right part of the sound scene and vice versa. Such behaviour is impossible to get from an MPEG Surround decoder in stereo mode.

0072If it is impossible to apply a downmix converter a suboptimal procedure can be developed as follows. For the MPEG Surround TTT parameters in energy mode, what is required is the energy distribution of the combined channels (<i>l</i>,<i>r</i>,<i>c</i>)<i>.</i> Therefore the relevant CLD parameters can be derived directly from the elements of <b>F</b> through <maths id="math0050" num="(26)"><math display="block"><msubsup><mi mathvariant="italic">CLD</mi><mi>TTT</mi><mn>0</mn></msubsup><mo>=</mo><mn>10</mn><mo>⁢</mo><msub><mi>log</mi><mn>10</mn></msub><mo>⁢</mo><mfenced><mfrac><mrow><msup><mrow><mo>‖</mo><mi>l</mi><mo>‖</mo></mrow><mn>2</mn></msup><mo>+</mo><msup><mrow><mo>‖</mo><mi>r</mi><mo>‖</mo></mrow><mn>2</mn></msup></mrow><msup><mrow><mo>‖</mo><mi>c</mi><mo>‖</mo></mrow><mn>2</mn></msup></mfrac></mfenced><mo>=</mo><mn>10</mn><mo>⁢</mo><msub><mi>log</mi><mn>10</mn></msub><mo>⁢</mo><mfenced><mfrac><mrow><msub><mi>f</mi><mn>11</mn></msub><mo>+</mo><msub><mi>f</mi><mn>22</mn></msub><mo>+</mo><msub><mi>f</mi><mn>33</mn></msub><mo>+</mo><msub><mi>f</mi><mn>44</mn></msub></mrow><mrow><msub><mi>f</mi><mn>55</mn></msub><mo>+</mo><msub><mi>f</mi><mn>66</mn></msub></mrow></mfrac></mfenced><mo>,</mo></math><img file="EP2054875B1_D0050.tif" /></maths><maths id="math0051" num="(27)"><math display="block"><msubsup><mi mathvariant="italic">CLD</mi><mi>TTT</mi><mn>1</mn></msubsup><mo>=</mo><mn>10</mn><mo>⁢</mo><msub><mi>log</mi><mn>10</mn></msub><mfenced><mfrac><msup><mrow><mo>‖</mo><mi>l</mi><mo>‖</mo></mrow><mn>2</mn></msup><msup><mrow><mo>‖</mo><mi>r</mi><mo>‖</mo></mrow><mn>2</mn></msup></mfrac></mfenced><mo>=</mo><mn>10</mn><mo>⁢</mo><msub><mi>log</mi><mn>10</mn></msub><mo>⁢</mo><mfenced><mfrac><mrow><msub><mi>f</mi><mn>11</mn></msub><mo>+</mo><msub><mi>f</mi><mn>22</mn></msub></mrow><mrow><msub><mi>f</mi><mn>33</mn></msub><mo>+</mo><msub><mi>f</mi><mn>44</mn></msub></mrow></mfrac></mfenced><mn>.</mn></math><img file="EP2054875B1_D0051.tif" /></maths>

0073In this case, it is suitable to use only a diagonal matrix <b>G</b> with positive entries for the downmix converter. It is operational to achieve the correct energy distribution of the downmix channels prior to the TTT upmix. With the six to two channel downmix matrix <b>D</b>₂₆ = <b>D</b>_TTT<b>D</b>₃₆ and the definitions from <maths id="math0052" num="(28)"><math display="block"><mi mathvariant="bold">Z</mi><mo mathvariant="bold">=</mo><msup><mi mathvariant="bold">DED</mi><mo mathvariant="bold">*</mo></msup><mo mathvariant="bold">,</mo></math><img file="EP2054875B1_D0052.tif" /></maths><maths id="math0053" num="(29)"><math display="block"><mi mathvariant="bold">W</mi><mo mathvariant="bold">=</mo><msub><mi mathvariant="bold">D</mi><mn mathvariant="bold">26</mn></msub><mo>⁢</mo><mi mathvariant="bold">E</mi><mo>⁢</mo><msubsup><mi mathvariant="bold">D</mi><mn mathvariant="bold">26</mn><mo mathvariant="bold">*</mo></msubsup><mo mathvariant="bold">,</mo></math><img file="EP2054875B1_D0053.tif" /></maths> one chooses simply <maths id="math0054" num="(30)"><math display="block"><mi mathvariant="bold">G</mi><mo>=</mo><mfenced open="[" close="]"><mtable><mtr><mtd><msqrt><msub><mi>w</mi><mn>11</mn></msub><mo>/</mo><msub><mi>z</mi><mn>11</mn></msub></msqrt></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><msqrt><msub><mi>w</mi><mn>22</mn></msub><mo>/</mo><msub><mi>z</mi><mn>22</mn></msub></msqrt></mtd></mtr></mtable></mfenced><mn>.</mn></math><img file="EP2054875B1_D0054.tif" /></maths>

0074A further observation is that such a diagonal form downmix converter can be omitted from the object to MPEG Surround transcoder and implemented by means of activating the arbitrary downmix gain (ADG) parameters of the MPEG Surround decoder. Those gains will be the be given in the logarithmic domain by <i>ADG₁</i> =10 log₁₀ (<i>w_ii</i> / <i>z_ii</i>) for <i>i</i> =1,2.

Object parameters given in prediction (OPC) mode

0075In object prediction mode, the available data is represented by the matrix triplet (<b>D</b>, <b>C</b>, <b>A</b>) where <b>C</b> is the <i>N</i> × 2 matrix holding the <i>N</i> pairs of OPC's. Due to the relative nature of prediction coefficients, it will further be necessary for the estimation of energy based MPEG Surround parameters to have access to an approximation to the 2×2 covariance matrix of the object downmix, <maths id="math0055" num="(31)"><math display="block"><mi mathvariant="bold">X</mi><mo>⁢</mo><msup><mi mathvariant="bold">X</mi><mo>*</mo></msup><mo>≈</mo><mi mathvariant="bold">Z</mi><mn>.</mn></math><img file="EP2054875B1_D0055.tif" /></maths>

0076This information is preferably transmitted from the object encoder as part of the downmix side information, but it could also be estimated at the transcoder from measurements performed on the received downmix, or indirectly derived from (<b>D</b>,<b>C</b>) by approximate object model considerations. Given <b>Z</b>, the object covariance can be estimated by inserting the predictive model <b>Y</b> = <b>CX</b>, yielding <maths id="math0056" num="(32)"><math display="block"><mi mathvariant="bold">E</mi><mo mathvariant="bold">=</mo><mi mathvariant="bold">CZ</mi><mo>⁢</mo><msup><mi mathvariant="bold">C</mi><mo mathvariant="bold">*</mo></msup><mo>,</mo></math><img file="EP2054875B1_D0056.tif" /></maths> and all the MPEG Surround OTT and energy mode TTT parameters can be estimated from <b>E</b> as in the case of energy based object parameters. However, the great advantage of using OPC's arises in combination with MPEG Surround TIT parameters in prediction mode. In this case, the waveform approximation <b>D</b>₃₆<b>Y</b>≈<b>A</b>₃<b>CX</b> immediately gives the reduced prediction matrix <maths id="math0057" num="(32)"><math display="block"><msub><mi mathvariant="bold">C</mi><mn mathvariant="bold">3</mn></msub><mo mathvariant="bold">=</mo><msub><mi mathvariant="bold">A</mi><mn mathvariant="bold">3</mn></msub><mo>⁢</mo><mi mathvariant="bold">C</mi><mo mathvariant="bold">,</mo></math><img file="EP2054875B1_D0057.tif" /></maths> from which the remaining steps to achieve the TTT parameters (<i>α</i>,<i>β</i>) and the downmix converter are similar to the case of object parameters given in energy mode. In fact, the steps of formulas (22) to (25) are completely identical. The resulting matrix <b>G</b> is fed to the downmix converter and the TTT parameters (<i>α</i>,<i>β</i>) are transmitted to the MPEG Surround decoder.

Stand alone application of the downmix converter for stereo rendering

0077In all cases described above the object to stereo downmix converter <b>501</b> outputs an approximation to a stereo downmix of the 5.1 channel rendering of the audio objects. This stereo rendering can be expressed by a 2 × <i>N</i> matrix <b>A</b>₂ defined by <b>A</b>₂ = <i>D</i>₂₆<b>A</b>. In many applications this downmix is interesting in its own right and a direct manipulation of the stereo rendering <b>A</b>₂ is attractive. Consider as an illustrative example again the case of a stereo track with a superimposed center panned mono voice track encoded by following a special case of the method outlined in <figref idref="f0009">Figure 8</figref> and discussed in the section around formula (12). A user control of the voice volume can be realized by the rendering <maths id="math0058" num="(33)"><math display="block"><msub><mi mathvariant="bold">A</mi><mn>2</mn></msub><mo>=</mo><mfrac><mn>1</mn><msqrt><mn>1</mn><mo>+</mo><msup><mi>v</mi><mn>2</mn></msup></msqrt></mfrac><mfenced open="[" close="]"><mtable><mtr><mtd><mn mathvariant="normal">1</mn></mtd><mtd><mn mathvariant="normal">0</mn></mtd><mtd><mi>v</mi><mo mathvariant="normal">/</mo><msqrt><mn mathvariant="normal">2</mn></msqrt></mtd></mtr><mtr><mtd><mn mathvariant="normal">0</mn></mtd><mtd><mn mathvariant="normal">1</mn></mtd><mtd><mi>v</mi><mo mathvariant="normal">/</mo><msqrt><mn mathvariant="normal">2</mn></msqrt></mtd></mtr></mtable></mfenced><mo>,</mo></math><img file="EP2054875B1_D0058.tif" /></maths> where v is the voice to music quotient control. The design of the downmix converter matrix is based on <maths id="math0059" num="(34)"><math display="block"><mi mathvariant="bold">GDS</mi><mo mathvariant="bold">≈</mo><msub><mi mathvariant="bold">A</mi><mn>2</mn></msub><mo>⁢</mo><mi mathvariant="bold">S</mi><mn>.</mn></math><img file="EP2054875B1_D0059.tif" /></maths>

0078For the prediction based object parameters, one simply inserts the approximation <b>S</b> ≈ <b>CDS</b> and obtain the converter matrix <b>G</b>≈ <b>A</b>₂<b>C</b>. For energy based object parameters, one solves the normal equations <maths id="math0060" num="(35)"><math display="block"><mi mathvariant="bold">G</mi><mfenced><msup><mi mathvariant="bold">DED</mi><mo mathvariant="bold">*</mo></msup></mfenced><mo mathvariant="bold">=</mo><msub><mi mathvariant="bold">A</mi><mn mathvariant="bold">2</mn></msub><mo>⁢</mo><msup><mi mathvariant="bold">ED</mi><mo mathvariant="bold">*</mo></msup><mn mathvariant="bold">.</mn></math><img file="EP2054875B1_D0060.tif" /></maths>

0079<figref idref="f0010">Fig. 9</figref> illustrates a preferred embodiment of an audio object coder in accordance with one aspect of the present invention. The audio object encoder 101 has already been generally described in connection with the preceding figures. The audio object coder for generating the encoded object signal uses the plurality of audio objects 90 which have been indicated in <figref idref="f0010">Fig. 9</figref> as entering a downmixer 92 and an object parameter generator 94. Furthermore, the audio object encoder 101 includes the downmix information generator 96 for generating downmix information 97 indicating a distribution of the plurality of audio objects into at least two downmix channels indicated at 93 as leaving the downmixer 92.

0080The object parameter generator is for generating object parameters 95 for the audio objects, wherein the object parameters are calculated such that the reconstruction of the audio object is possible using the object parameters and at least two downmix channels 93. Importantly, however, this reconstruction does not take place on the encoder side, but takes place on the decoder side. Nevertheless, the encoderside object parameter generator calculates the object parameters for the objects 95 so that this full reconstruction can be performed on the decoder side.

0081Furthermore, the audio object encoder 101 includes an output interface 98 for generating the encoded audio object signal 99 using the downmix information 97 and the object parameters 95. Depending on the application, the downmix channels 93 can also be used and encoded into the encoded audio object signal. However, there can also be situations in which the output interface 98 generates an encoded audio object signal 99 which does not include the downmix channels. This situation may arise when any downmix channels to be used on the decoder side are already at the decoder side, so that the downmix information and the object parameters for the audio objects are transmitted separately from the downmix channels. Such a situation is useful when the object downmix channels 93 can be purchased separately from the object parameters and the downmix information for a smaller amount of money, and the object parameters and the downmix information can be purchased for an additional amount of money in order to provide the user on the decoder side with an added value.

0082Without the object parameters and the downmix information, a user can render the downmix channels as a stereo or multi-channel signal depending on the number of channels included in the downmix. Naturally, the user could also render a mono signal by simply adding the at least two transmitted object downmix channels. To increase the flexibility of rendering and listening quality and usefulness, the object parameters and the downmix information enable the user to form a flexible rendering of the audio objects at any intended audio reproduction setup, such as a stereo system, a multi-channel system or even a wave field synthesis system. While wave field synthesis systems are not yet very popular, multi-channel systems such as 5.1 systems or 7.1 systems are becoming increasingly popular on the consumer market.

0083<figref idref="f0011">Fig. 10</figref> illustrates an audio synthesizer for generating output data. To this end, the audio synthesizer includes an output data synthesizer 100. The output data synthesizer receives, as an input, the downmix information 97 and audio object parameters 95 and, probably, intended audio source data such as a positioning of the audio sources or a user-specified volume of a specific source, which the source should have been when rendered as indicated at 101.

0084The output data synthesizer 100 is for generating output data usable for creating a plurality of output channels of a predefined audio output configuration representing a plurality of audio objects. Particularly, the output data synthesizer 100 is operative to use the downmix information 97, and the audio object parameters 95. As discussed in connection with <figref idref="f0012">Fig. 11</figref> later on, the output data can be data of a large variety of different useful applications, which include the specific rendering of output channels or which include just a reconstruction of the source signals or which include a transcoding of parameters into spatial rendering parameters for a spatial upmixer configuration without any specific rendering of output channels, but e.g. for storing or transmitting such spatial parameters.

0085The general application scenario of the present invention is summarized in <figref idref="f0016">Fig. 14</figref>. There is an encoder side 140 which includes the audio object encoder 101 which receives, as an input, N audio objects. The output of the preferred audio object encoder comprises, in addition to the downmix information and the object parameters which are not shown in <figref idref="f0016">Fig. 14</figref>, the K downmix channels. The number of downmix channels in accordance with the present invention is greater than or equal to two.

0086The downmix channels are transmitted to a decoder side 142, which includes a spatial upmixer 143. The spatial upmixer 143 may include the inventive audio synthesizer, when the audio synthesizer is operated in a transcoder mode. When the audio synthesizer 101 as illustrated in <figref idref="f0011">Fig. 10</figref>, however, works in a spatial upmixer mode, then the spatial upmixer 143 and the audio synthesizer are the same device in this embodiment. The spatial upmixer generates M output channels to be played via M speakers. These speakers are positioned at predefined spatial locations and together represent the predefined audio output configuration. An output channel of the predefined audio output configuration may be seen as a digital or analog speaker signal to be sent from an output of the spatial upmixer 143 to the input of a loudspeaker at a predefined position among the plurality of predefined positions of the predefined audio output configuration. Depending on the situation, the number of M output channels can be equal to two when stereo rendering is performed. When, however, a multi-channel rendering is performed, then the number of M output channels is larger than two. Typically, there will be a situation in which the number of downmix channels is smaller than the number of output channels due to a requirement of a transmission link. In this case, M is larger than K and may even be much larger than K, such as double the size or even more.

0087<figref idref="f0016">Fig. 14</figref> furthermore includes several matrix notations in order to illustrate the functionality of the inventive encoder side and the inventive decoder side. Generally, blocks of sampling values are processed. Therefore, as is indicated in equation (2), an audio object is represented as a line of L sampling values. The matrix S has N lines corresponding to the number of objects and L columns corresponding to the number of samples. The matrix E is calculated as indicated in equation (5) and has N columns and N lines. The matrix E includes the object parameters when the object parameters are given in the energy mode. For uncorrelated objects, the matrix E has, as indicated before in connection with equation (6) only main diagonal elements, wherein a main diagonal element gives the energy of an audio object. All off-diagonal elements represent, as indicated before, a correlation of two audio objects, which is specifically useful when some objects are two channels of the stereo signal.

0088Depending on the specific embodiment, equation (2) is a time domain signal. Then a single energy value for the whole band of audio objects is generated. Preferably, however, the audio objects are processed by a time/frequency converter which includes, for example, a type of a transform or a filter bank algorithm. In the latter case, equation (2) is valid for each subband so that one obtains a matrix E for each subband and, of course, each time frame.

0089The downmix channel matrix X has K lines and L columns and is calculated as indicated in equation (3). As indicated in equation (4), the M output channels are calculated using the N objects by applying the so-called rendering matrix A to the N objects. Depending on the situation, the N objects can be regenerated on the decoder side using the downmix and the object parameters and the rendering can be applied to the reconstructed object signals directly.

0090Alternatively, the downmix can be directly transformed to the output channels without an explicit calculation of the source signals. Generally, the rendering matrix A indicates the positioning of the individual sources with respect to the predefined audio output configuration. If one had six objects and six output channels, then one could place each object at each output channel and the rendering matrix would reflect this scheme. If, however, one would like to place all objects between two output speaker locations, then the rendering matrix A would look different and would reflect this different situation.

0091The rendering matrix or, more generally stated, the intended positioning of the objects and also an intended relative volume of the audio sources can in general be calculated by an encoder and transmitted to the decoder as a so-called scene description. In other embodiments, however, this scene description can be generated by the user herself/himself for generating the user-specific upmix for the user-specific audio output configuration. A transmission of the scene description is, therefore, not necessarily required, but the scene description can also be generated by the user in order to fulfill the wishes of the user. The user might, for example, like to place certain audio objects at places which are different from the places where these objects were when generating these objects. There are also cases in which the audio objects are designed by themselves and do not have any "original" location with respect to the other objects. In this situation, the relative location of the audio sources is generated by the user at the first time.

0092Reverting to <figref idref="f0010">Fig. 9</figref>, a downmixer 92 is illustrated. The downmixer is for downmixing the plurality of audio objects into the plurality of downmix channels, wherein the number of audio objects is larger than the number of downmix channels, and wherein the downmixer is coupled to the downmix information generator so that the distribution of the plurality of audio objects into the plurality of downmix channels is conducted as indicated in the downmix information. The downmix information generated by the downmix information generator 96 in <figref idref="f0010">Fig. 9</figref> can be automatically created or manually adjusted. It is preferred to provide the downmix information with a resolution smaller than the resolution of the object parameters. Thus, side information bits can be saved without major quality losses, since fixed downmix information for a certain audio piece or an only slowly changing downmix situation which need not necessarily be frequency-selective has proved to be sufficient. In one embodiment, the downmix information represents a downmix matrix having K lines and N columns.

0093The value in a line of the downmix matrix has a certain value when the audio object corresponding to this value in the downmix matrix is in the downmix channel represented by the row of the downmix matrix. When an audio object is included into more than one downmix channels, the values of more than one row of the downmix matrix have a certain value. However, it is preferred that the squared values when added together for a single audio object sum up to 1.0. Other values, however, are possible as well. Additionally, audio objects can be input into one or more downmix channels with varying levels, and these levels can be indicated by weights in the downmix matrix which are different from one and which do not add up to 1.0 for a certain audio object.

0094When the downmix channels are included in the encoded audio object signal generated by the output interface 98, the encoded audio object signal may be for example a time-multiplex signal in a certain format. Alternatively, the encoded audio object signal can be any signal which allows the separation of the object parameters 95, the downmix information 97 and the downmix channels 93 on a decoder side. Furthermore, the output interface 98 can include encoders for the object parameters, the downmix information or the downmix channels. Encoders for the object parameters and the downmix information may be differential encoders and/or entropy encoders, and encoders for the downmix channels can be mono or stereo audio encoders such as MP3 encoders or AAC encoders. All these encoding operations result in a further data compression in order to further decrease the data rate required for the encoded audio object signal 99.

0095Depending on the specific application, the downmixer 92 is operative to include the stereo representation of background music into the at least two downmix channels and furthermore introduces the voice track into the at least two downmix channels in a predefined ratio. In this embodiment, a first channel of the background music is within the first downmix channel and the second channel of the background music is within the second downmix channel. This results in an optimum replay of the stereo background music on a stereo rendering device. The user can, however, still modify the position of the voice track between the left stereo speaker and the right stereo speaker. Alternatively, the first and the second background music channels can be included in one downmix channel and the voice track can be included in the other downmix channel. Thus, by eliminating one downmix channel, one can fully separate the voice track from the background music which is particularly suited for karaoke applications. However, the stereo reproduction quality of the background music channels will suffer due to the object parameterization which is, of course, a lossy compression method.

0096A downmixer 92 is adapted to perform a sample by sample addition in the time domain. This addition uses samples from audio objects to be downmixed into a single downmix channel. When an audio object is to be introduced into a downmix channel with a certain percentage, a pre-weighting is to take place before the sample-wise summing process. Alternatively, the summing can also take place in the frequency domain, or a subband domain, i.e., in a domain subsequent to the time/frequency conversion. Thus, one could even perform the downmix in the filter bank domain when the time/frequency conversion is a filter bank or in the transform domain when the time/frequency conversion is a type of FFT, MDCT or any other transform.

0097In one aspect of the present invention, the object parameter generator 94 generates energy parameters and, additionally, correlation parameters between two objects when two audio objects together represent the stereo signal as becomes clear by the subsequent equation (6). Alternatively, the object parameters are prediction mode parameters. <figref idref="f0016">Fig. 15</figref> illustrates algorithm steps or means of a calculating device for calculating these audio object prediction parameters. As has been discussed in connection with equations (7) to (12), some statistical information on the downmix channels in the matrix X and the audio objects in the matrix S has to be calculated. Particularly, block 150 illustrates the first step of calculating the real part of S · X* and the real part of X · X*. These real parts are not just numbers but are matrices, and these matrices are determined in one embodiment via the notations in equation (1) when the embodiment subsequent to equation (12) is considered. Generally, the values of step 150 can be calculated using available data in the audio object encoder 101. Then, the prediction matrix C is calculated as illustrated in step 152. Particularly, the equation system is solved as known in the art so that all values of the prediction matrix C which has N lines and K columns are obtained. Generally, the weighting factors c_n,i as given in equation (8) are calculated such that the weighted linear addition of all downmix channels reconstructs a corresponding audio object as well as possible. This prediction matrix results in a better reconstruction of audio objects when the number of downmix channels increases.

0098Subsequently, <figref idref="f0012">Fig. 11</figref> will be discussed in more detail. Particularly, <figref idref="f0008">Fig. 7</figref> illustrates several kinds of output data usable for creating a plurality of output channels of a predefined audio output configuration. Line 111 illustrates a situation in which the output data of the output data synthesizer 100 are reconstructed audio sources. The input data required by the output data synthesizer 100 for rendering the reconstructed audio sources include downmix information, the downmix channels and the audio object parameters. For rendering the reconstructed sources, however, an output configuration and an intended positioning of the audio sources themselves in the spatial audio output configuration are not necessarily required. In this first mode indicated by mode number 1 in <figref idref="f0012">Fig. 11</figref>, the output data synthesizer 100 would output reconstructed audio sources. In the case of prediction parameters as audio object parameters, the output data synthesizer 100 works as defined by equation (7). When the object parameters are in the energy mode, then the output data synthesizer uses an inverse of the downmix matrix and the energy matrix for reconstructing the source signals.

0099Alternatively, the output data synthesizer 100 operates as a transcoder as illustrated for example in block 102 in <figref idref="f0002">Fig. 1b</figref>. When the output synthesizer is a type of a transcoder for generating spatial mixer parameters, the downmix information, the audio object parameters, the output configuration and the intended positioning of the sources are required. Particularly, the output configuration and the intended positioning are provided via the rendering matrix A. However, the downmix channels are not required for generating the spatial mixer parameters as will be discussed in more detail in connection with <figref idref="f0013">Fig. 12</figref>. Depending on the situation, the spatial mixer parameters generated by the output data synthesizer 100 can then be used by a straight-forward spatial mixer such as an MPEG-surround mixer for upmixing the downmix channels. This embodiment does not necessarily need to modify the object downmix channels, but may provide a simple conversion matrix only having diagonal elements as discussed in equation (13). In mode 2 as indicated by 112 in <figref idref="f0012">Fig. 11</figref>, the output data synthesizer 100 would, therefore, output spatial mixer parameters and, preferably, the conversion matrix G as indicated in equation (13), which includes gains that can be used as arbitrary downmnix gain parameters (ADG) of the MPEG-surround decoder.

0100In mode number 3 as indicated by 113 of <figref idref="f0012">Fig. 11</figref>, the output data include spatial mixer parameters at a conversion matrix such as the conversion matrix illustrated in connection with equation (25). In this situation, the output data synthesizer 100 does not necessarily have to perform the actual downmix conversion to convert the object downmix into a stereo downmix.

0101A different mode of operation indicated by mode number 4 in line 114 in <figref idref="f0012">Fig. 11</figref> illustrates the output data synthesizer 100 of <figref idref="f0011">Fig. 10</figref>. In this situation, the transcoder is operated as indicated by 102 in <figref idref="f0002">Fig. 1b</figref> and outputs not only spatial mixer parameters but additionally outputs a converted downmix. However, it is not necessary anymore to output the conversion matrix G in addition to the converted downmix. Outputting the converted downmix and the spatial mixer parameters is sufficient as indicated by <figref idref="f0002">Fig. 1b</figref>.

0102Mode number 5 indicates another usage of the output data synthesizer 100 illustrated in <figref idref="f0011">Fig. 10</figref>. In this situation indicated by line 115 in <figref idref="f0012">Fig. 11</figref>, the output data generated by the output data synthesizer do not include any spatial mixer parameters but only include a conversion matrix G as indicated by equation (35) for example or actually includes the output of the stereo signals themselves as indicated at 115. In this embodiment, only a stereo rendering is of interest and any spatial mixer parameters are not required. For generating the stereo output, however, all available input information as indicated in <figref idref="f0012">Fig. 11</figref> is required.

0103Another output data synthesizer mode is indicated by mode number 6 at line 116. Here, the output data synthesizer 100 generates a multi-channel output, and the output data synthesizer 100 would be similar to element 104 in <figref idref="f0002">Fig. 1b</figref>. To this end, the output data synthesizer 100 requires all available input information and outputs a multi-channel output signal having more than two output channels to be rendered by a corresponding number of speakers to be positioned at intended speaker positions in accordance with the predefined audio output configuration. Such a multi-channel output is a 5.1 output, a 7.1 output or only a 3.0 output having a left speaker, a center speaker and a right speaker.

0104Subsequently, reference is made to <figref idref="f0012">Fig. 11</figref> for illustrating one example for calculating several parameters from the <figref idref="f0008">Fig. 7</figref> parameterization concept known from the MPEG-surround decoder. As indicated, <figref idref="f0008">Fig. 7</figref> illustrates an MPEG-surround decoder-side parameterization starting from the stereo downmix 70 having a left downmix channel l₀ and a right downmix channel r₀. Conceptually, both downmix channels are input into a so-called Two-To-Three box 71. The Two-To-Three box is controlled by several input parameters 72. Box 71 generates three output channels 73a, 73b, 73c. Each output channel is input into a One-To-Two box. This means that channel 73a is input into box 74a, channel 73b is input into box 74b, and channel 73c is input into box 74c. Each box outputs two output channels. Box 74a outputs a left front channel l_f and a left surround channel L_s. Furthermore, box 74b outputs a right front channel r_f and a right surround channel r_s. Furthermore, box 74c outputs a center channel c and a low-frequency enhancement channel lfe. Importantly, the whole upmix from the downmix channels 70 to the output channels is performed using a matrix operation, and the tree structure as shown in <figref idref="f0008">Fig. 7</figref> is not necessarily implemented step by step but can be implemented via a single or several matrix operations. Furthermore, the intermediate signals indicated by 73a, 73b and 73c are not explicitly calculated by a certain embodiment, but are illustrated in <figref idref="f0008">Fig. 7</figref> only for illustration purposes. Furthermore, boxes 74a, 74b receive some residual signals res_l^OTT, res₂^OTT which can be used for introducing a certain randomness into the output signals.

0105As known from the MPEG-surround decoder, box 71 is controlled either by prediction parameters CPC or energy parameters CLD_TTT. For the upmix from two channels to three channels, at least two prediction parameters CPC1, CPC2 or at least two energy parameters CLD¹_TTT and CLD²_TTT are required. Furthermore, the correlation measure ICC_TTT can be put into the box 71 which is, however, only an optional feature which is not used in one embodiment of the invention. <figref idref="f0013">Figs. 12</figref> and <figref idref="f0014 f0015">13</figref> illustrate the necessary steps and/or means for calculating all parameters CPC/CLD_TTT, CLD0, CLD1, ICCl, CLD2, ICC2 from the object parameters 95 of <figref idref="f0010">Fig. 9</figref>, the downmix information 97 of <figref idref="f0010">Fig. 9</figref> and the intended positioning of the audio sources, e.g. the scene description 101 as illustrated in <figref idref="f0011">Fig. 10</figref>. These parameters are for the predefined audio output format of a 5.1 surround system.

0106Naturally, the specific calculation of parameters for this specific implementation can be adapted to other output formats or parameterizations in view of the teachings of this document. Furthermore, the sequence of steps or the arrangement of means in <figref idref="f0013">Figs. 12</figref> and <figref idref="f0014 f0015">13a,b</figref> is only exemplarily and can be changed within the logical sense of the mathematical equations.

0107In step 120, a rendering matrix A is provided. The rendering matrix indicates where the source of the plurality of sources is to be placed in the context of the predefined output configuration. Step 121 illustrates the derivation of the partial downmix matrix D₃₆ as indicated in equation (20). This matrix reflects the situation of a downmix from six output channels to three channels and has a size of 3xN. When one intends to generate more output channels than the 5.1 configuration, such as an 8-channel output configuration (7.1), then the matrix determined in block 121 would be a D₃₈ matrix. In step 122, a reduced rendering matrix A₃ is generated by multiplying matrix D₃₆ and the full rendering matrix as defined in step 120. In step 123, the downmix matrix D is introduced. This downmix matrix D can be retrieved from the encoded audio object signal when the matrix is fully included in this signal. Alternatively, the downmix matrix could be parameterized e.g. for the specific downmix information example and the downmix matrix G.

0108Furthermore, the object energy matrix is provided in step 124. This object energy matrix is reflected by the object parameters for the N objects and can be extracted from the imported audio objects or reconstructed using a certain reconstruction rule. This reconstruction rule may include an entropy decoding etc.

0109In step 125, the "reduced" prediction matrix C₃ is defined. The values of this matrix can be calculated by solving the system of linear equations as indicated in step 125. Specifically, the elements of matrix C₃ can be calculated by multiplying the equation on both sides by an inverse of (DED*).

0110In step 126, the conversion matrix G is calculated. The conversion matrix G has a size of KxK and is generated as defined by equation (25). To solve the equation in step 126, the specific matrix D_TTT is to be provided as indicated by step 127. An example for this matrix is given in equation (24) and the definition can be derived from the corresponding equation for C_TTT as defined in equation (22). Equation (22), therefore, defines what is to be done in step 128. Step 129 defines the equations for calculating matrix C_TTT. As soon as matrix C_TTT is determined in accordance with the equation in block 129, the parameters α,β and γ which are the CPC parameters, can be output. Preferably, γ is set to 1 so that the only remaining CPC parameters input into block 71 are α and β.

0111The remaining parameters necessary for the scheme in <figref idref="f0008">Fig. 7</figref> are the parameters input into blocks 74a, 74b and 74c. The calculation of these parameters is discussed in connection with <figref idref="f0014">Fig. 13a</figref>. In step 130, the rendering matrix A is provided. The size of the rendering matrix A is N lines for the number of audio objects and M columns for the number of output channels. This rendering matrix includes the information from the scene vector, when a scene vector is used. Generally, the rendering matrix includes the information of placing an audio source in a certain position in an output setup. When, for example, the rendering matrix A below equation (19) is considered, it becomes clear how a certain placement of audio objects can be coded within the rendering matrix. Naturally, other ways of indicating a certain position can be used, such as by values not equal to 1. Furthermore, when values are used which are smaller than 1 on the one hand and are larger than 1 on the other hand, the loudness of the certain audio objects can be influenced as well.

0112In one embodiment, the rendering matrix is generated on the decoder side without any information from the encoder side. This allows a user to place the audio objects wherever the user likes without paying attention to a spatial relation of the audio objects in the encoder setup. In another embodiment, the relative or absolute location of audio sources can be encoded on the encoder side and transmitted to the decoder as a kind of a scene vector. Then, on the decoder side, this information on locations of audio sources which is preferably independent of an intended audio rendering setup is processed to result in a rendering matrix which reflects the locations of the audio sources customized to the specific audio output configuration.

0113In step 131, the object energy matrix E which has already been discussed in connection with step 124 of <figref idref="f0013">Fig. 12</figref> is provided. This matrix has the size of NxN and includes the audio object parameters. In one embodiment such an object energy matrix is provided for each subband and each block of time-domain samples or subband-domain samples.

0114In step 132, the output energy matrix F is calculated. F is the covariance matrix of the output channels. Since the output channels are, however, still unknown, the output energy matrix F is calculated using the rendering matrix and the energy matrix. These matrices are provided in steps 130 and 131 and are readily available on the decoder side. Then, the specific equations (15), (16), (17), (18) and (19) are applied to calculate the channel level difference parameters CLD₀, CLD₁, CLD₂ and the inter-channel coherence parameters ICC₁ and ICC₂ so that the parameters for the boxes 74a, 74b, 74c are available. Importantly, the spatial parameters are calculated by combining the specific elements of the output energy matrix F.

0115Subsequent to step 133, all parameters for a spatial upmixer, such as the spatial upmixer as schematically illustrated in <figref idref="f0008">Fig. 7</figref>, are available,

0116In the preceding embodiments, the object parameters were given as energy parameters. When, however, the object parameters are given as prediction parameters, i.e. as an object prediction matrix C as indicated by item 124a in <figref idref="f0013">Fig. 12</figref>, the calculation of the reduced prediction matrix C₃ is just a matrix multiplication as illustrated in block 125a and discussed in connection with equation (32). The matrix A₃ as used in block 125a is the same matrix A₃ as mentioned in block 122 of <figref idref="f0013">Fig. 12</figref>.

0117When the object prediction matrix C is generated by an audio object encoder and transmitted to the decoder, then some additional calculations are required for generating the parameters for the boxes 74a, 74b, 74c. These additional steps are indicated in <figref idref="f0015">Fig. 13b</figref>. Again, the object prediction matrix C is provided as indicated by 124a in <figref idref="f0015">Fig. 13b</figref>, which is the same as discussed in connection with block 124a of <figref idref="f0013">Fig. 12</figref>. Then, as discussed in connection with equation (31), the covariance matrix of the object downmix Z is calculated using the transmitted downmix or is generated and transmitted as additional side information. When information on the matrix Z is transmitted, then the decoder does not necessarily have to perform any energy calculations which inherently introduce some delayed processing and increase the processing load on the decoder side. When, however, these issues are not decisive for a certain application, then transmission bandwidth can be saved and the covariance matrix Z of the object downmix can also be calculated using the downmix samples which are, of course, available on the decoder side. As soon as step 134 is completed and the covariance matrix of the object downmix is ready, the object energy matrix E can be calculated as indicated by step 135 by using the prediction matrix C and the downmix covariance or "downmix energy" matrix Z. As soon as step 135 is completed, all steps discussed in connection with <figref idref="f0014">Fig. 13a</figref> can be performed, such as steps 132, 133, to generate all parameters for blocks 74a, 74b, 74c of <figref idref="f0008">Fig. 7</figref>.

0118<figref idref="f0017">Fig. 16</figref> illustrates a further embodiment, in which only a stereo rendering is required. The stereo rendering is the output as provided by mode number 5 or line 115 of <figref idref="f0012">Fig. 11</figref>. Here, the output data synthesizer 100 of <figref idref="f0011">Fig. 10</figref> is not interested in any spatial upmix parameters but is mainly interested in a specific conversion matrix G for converting the object downmix into a useful and, of course, readily influencable and readily controllable stereo downmix.

0119In step 160 of <figref idref="f0017">Fig. 16</figref>, an M-to-2 partial downmix matrix is calculated. In the case of six output channels, the partial downmix matrix would be a downmix matrix from six to two channels, but other downmix matrices are available as well. The calculation of this partial downmix matrix can be, for example, derived from the partial downmix matrix D₃₆ as generated in step 121 and matrix D_TTT as used in step 127 of <figref idref="f0013">Fig. 12</figref>.

0120Furthermore, a stereo rendering matrix A₂ is generated using the result of step 160 and the "big" rendering matrix A is illustrated in step 161. The rendering matrix A is the same matrix as has been discussed in connection with block 120 in <figref idref="f0013">Fig. 12</figref>.

0121Subsequently, in step 162, the stereo rendering matrix may be parameterized by placement parameters µ and κ. When µ is set to 1 and κ is set to 1 as well, then the equation (33) is obtained, which allows a variation of the voice volume in the example described in connection with equation (33). When, however, other parameters such as µ and κ are used, then the placement of the sources can be varied as well.

0122Then, as indicated in step 163, the conversion matrix G is calculated by using equation (33). Particularly, the matrix (DED*) can be calculated, inverted and the inverted matrix can be multiplied to the right-hand side of the equation in block 163. Naturally, other methods for solving the equation in block 163 can be applied. Then, the conversion matrix G is there, and the object downmix X can be converted by multiplying the conversion matrix and the object downmix as indicated in block 164. Then, the converted downmix X' can be stereo-rendered using two stereo speakers. Depending on the implementation, certain values for µ, ν and κ can be set for calculating the conversion matrix G. Alternatively, the conversion matrix G can be calculated using all these three parameters as variables so that the parameters can be set subsequent to step 163 as required by the user.

0123Preferred embodiments solve the problem of transmitting a number of individual audio objects (using a multi-channel downmix and additional control data describing the objects) and rendering the objects to a given reproduction system (loudspeaker configuration). A technique on how to modify the object related control data into control data that is compatible to the reproduction system is introduced. It further proposes suitable encoding methods based on the MPEG Surround coding scheme.

0124Depending on certain implementation requirements of the inventive methods, the inventive methods and signals can be implemented in hardware or in software. The implementation can be performed using a digital storage medium, in particular a disk or a CD having electronically readable control signals stored thereon, which can cooperate with a programmable computer system such that the inventive methods are performed. Generally, the present invention is, therefore, a computer program product with a program code stored on a machine-readable carrier, the program code being configured for performing at least one of the inventive methods, when the computer program products runs on a computer. In other words, the inventive methods are, therefore, a computer program having a program code for performing the inventive methods, when the computer program runs on a computer.