Method for Detecting Targets Using Space-Time Adaptive Processing
Claim Score by NHIP
Abstract
A method for detecting a target in a non-homogeneous environment using a space-time adaptive processing of a radar signal includes normalizing training data of the non-homogeneous environment to produce normalized training data; determining a normalized sample covariance matrix representing the normalized training data; tracking a subspace represented by the normalized sample covariance matrix to produce a clutter subspace matrix; determining a test statistic representing a likelihood of a presence of the target in the radar signal based on the clutter subspace matrix and a steering vector; and comparing the test statistic with a threshold to detect the target.

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Projected expiry 21 April 2033.
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11 claims: 3 independent, 8 dependent
- 1Broadest claimClaim Score 64, broad(NHIP)A method for detecting a target in a non-homogeneous environment using space-time adaptive processing of a radar signal, comprising the steps of:normalizing training data of the non-homogeneous environment to produce normalized training data;representing the normalized training data as a normalized sample covariance matrix;tracking a subspace represented by the normalized sample covariance matrix to produce a clutter subspace matrix;determining a test statistic representing a likelihood of a presence of the target in the radar signal based on the clutter subspace matrix and a steering vector;and comparing the test statistic with a threshold to detect the target, wherein the steps are performed by a processor.
- 11A method for detecting a target in a radar signal of a non-homogeneous environment using a space-time adaptive processing, comprising the steps of:normalizing training data according to x ~ k = x k x k H x k / K , to produce normalized training data;determining a normalized sample covariance matrix representing the normalized training data according to R ~ = 1 K ∑ k = 1 K x ~ k x ~ k H ;tracking a subspace represented by the normalized sample covariance matrix uses a clutter subspace tracking according to {tilde over (R)}=Ũ MN×r λ r×r Ũ MN×r H +Iσ n 2 to produce a clutter subspace matrix U;determining a test statistic representing a likelihood of a presence of the target in the radar signal based on the clutter subspace matrix and a steering vector according to T invention = | s H ( I - U ~ U ~ H ) x 0 | 2 ( s H ( I - U ~ U ~ H ) s ) ( x 0 H ( I - U ~ U ~ H ) x 0 H ) ;and comparing the test statistic with a threshold to detect the target, wherein {tilde over (R)} is a normalized sample covariance matrix, λ r×r is a diagonal matrix with most important r eigenvalues of the clutter subspace along the diagonal, σ n 2 is a noise variance, I is an identity matrix, Ũ MN×r is an estimated clutter subspace, x 0 is a target data vector under a test for target presence, s is a steering vector for a given Doppler and angle of arrival, wherein the steps are performed by a processor.
- 13A system for detecting a target in a radar signal of a non-homogeneous environment using a space-time adaptive processing, comprising:a phased-array antenna with multiple spatial channels for acquiring training data;a processor for normalizing the training data and for determining a normalized sample covariance matrix representing the normalized training data;and a tracking subspace estimator for tracking the normalized sample covariance matrix to produce a clutter subspace matrix, wherein the processor determines a test statistic representing a likelihood of a presence of the target in the radar signal based on the clutter subspace matrix and a steering vector and compares the test statistic with a threshold to detect the target.
Independent claims3
54 paragraphs in 6 sections, as filed
RELATED APPLICATION
0001This Patent Application claims priority to Provisional Application 61/471,407, “Method for Detecting Targets Using Space-Time Adaptive Processing,” filed by Pun et al. on Apr. 4, 2011, incorporated herein by reference.
FIELD OF THE INVENTION
0002This invention relates generally to signal processing, and in particular to space-time adaptive processing (STAP) for detecting a target using radar signals.
BACKGROUND OF THE INVENTION
0003Space-time adaptive processing (STAP) is frequently used in radar systems to detect a target, e.g., a car, or a plane. STAP has been known since the early 1970's. In airborne radar systems, STAP improves target detection when interference in an environment, e.g., ground clutter and jamming, is a problem. STAP can achieve order-of-magnitude sensitivity improvements in target detection.
0004Typically, STAP involves a two-dimensional filtering technique applied to signals acquired by a phased-array antenna with multiple spatial channels. Generally, the STAP is a combination of the multiple spatial channels with time dependent pulse-Doppler waveforms. By applying statistics of interference of the environment, a space-time adaptive weight vector is formed. Then, the weight vector is applied to the coherent signals received by the radar to detect the target.
0005A number of non-adaptive and adaptive STAP detectors are available for detecting moving targets in non-Gaussian distributed environments. Due to the additional time-correlated texture component, the optimum detection in the compound-Gaussian yields an implicit form, in most cases. The solution to the optimum detector usually resorts to an expectation-maximization procedure. On the other hand, sub-optimal detectors in the compound-Gaussian case are expressed in closed-form. Among these detectors are the normalized adaptive matched filter (NAMF) with the standard sample covariance matrix, and the NAMF with the normalized sample covariance matrix.
0006Speckle in a compound-Gaussian distributed environment has a low-rank structure. A speckle pattern is a random intensity pattern produced by mutual interference of a set of wavefronts. Therefore, an adaptive eigen value/singular-value decomposition (EVD/SVD) is used, where, instead of using the inverse of the sample covariance matrix, a projection of the received signal and steering vector into the null space of the clutter subspace is used to obtain the detection statistics. The EVD/SVD—based method is able to reduce the training requirement to O(2r), where r is the rank of the disturbance covariance matrix. However, the computational complexity of this method remains high as O(M<sup>3</sup>N<sup>3</sup>), where M is the number of spatial channels and N is the number of pulses. If MN becomes large, then the high computational complexity of the EVD/SVD—based methods are impractical for real-time applications.
0007<figref idref="DRAWINGS">FIG. 1</figref> shows a block diagram of the conventional STAP method. When no target is detected, acquired signals <b>101</b> include a test signal x<sub>0 </sub><b>110</b> and a set of training signals X<sub>k </sub>k=1, 2, . . . , K, <b>120</b>, wherein K is a total number of training signals, which are independent and identically distributed (i.i.d.). The target signal can be expressed as a product of a known steering vector s <b>130</b> and unknown amplitude a.
0008That method normalizes <b>140</b> the training signals x<sub>k </sub><b>120</b>, and then computes the normalized sample covariance matrix <b>150</b> using the normalized training data <b>140</b>. Then, eigenvalue decomposition <b>160</b> is applied to the normalized sample covariance matrix <b>150</b> to produce a matrix U <b>165</b> representing the clutter subspace. Next, the method determines a test statistics <b>170</b> describing a likelihood of presence of the target in a test signal <b>110</b> as shown in (1).
0000<maths id="MATH-US-00001" num="00001"><math overflow="scroll"><mtable><mtr><mtd><mrow><mrow><msub><mi>T</mi><mi>prior_art</mi></msub><mo>=</mo><mfrac><mrow><mo>|</mo><mrow><mrow><msup><mi>s</mi><mi>H</mi></msup><mo></mo><mrow><mo>(</mo><mrow><mi>I</mi><mo>-</mo><msup><mi>UU</mi><mi>H</mi></msup></mrow><mo>)</mo></mrow></mrow><mo></mo><msub><mi>x</mi><mn>0</mn></msub></mrow><mo></mo><msup><mo>|</mo><mn>2</mn></msup></mrow><mrow><mrow><mo>(</mo><mrow><mrow><msup><mi>s</mi><mi>H</mi></msup><mo></mo><mrow><mo>(</mo><mrow><mi>I</mi><mo>-</mo><msup><mi>UU</mi><mi>H</mi></msup></mrow><mo>)</mo></mrow></mrow><mo></mo><mi>s</mi></mrow><mo>)</mo></mrow><mo></mo><mrow><mo>(</mo><mrow><mrow><msubsup><mi>x</mi><mn>0</mn><mi>H</mi></msubsup><mo></mo><mrow><mo>(</mo><mrow><mi>I</mi><mo>-</mo><msup><mi>UU</mi><mi>H</mi></msup></mrow><mo>)</mo></mrow></mrow><mo></mo><msubsup><mi>x</mi><mi>o</mi><mi>H</mi></msubsup></mrow><mo>)</mo></mrow></mrow></mfrac></mrow><mo>,</mo></mrow></mtd><mtd><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></mtd></mtr></mtable></math></maths>
0000where s is a known steering vector for a particular Doppler frequency and angle of arrival, I is an identity matrix, x<sub>0 </sub>is the data vector to be tested for target presence, and H is the Hermitian transpose operation.
0009The resulting test statistic T<sub>prior</sub><sub><sub2>—</sub2></sub><sub>art </sub><b>170</b> is compared to a threshold <b>180</b> to detect <b>190</b> whether a target is present, or not
0010The EVD/SVD based STAP method works well for compound-Gaussian distributed, i.e., non-homogeneous environments. However, this method is computationally expensive. Accordingly there is a need in the art to provide a low complexity STAP method for detecting a target in non-homogeneous environments
SUMMARY OF THE INVENTION
0011The embodiments of the invention provide a system and a method for detecting targets in radar signals using space-time adaptive processing (STAP). To address high complexity of the adaptive eigen value/singular-value decomposition (EVD/SVD) based clutter subspace estimation, some embodiments uses a subspace tracking (ST) method.
0012Accordingly, some embodiments use a low-complexity STAP strategy via subspace tracking in non-homogeneous compound-Gaussian distributed environments. Specifically, various embodiments use ST-based low-complexity STAP detectors to track the subspace of a speckle component and mitigate the effect of the time-varying texture component.
0013The ST-based STAP for compound-Gaussian etc. environments is training-efficient, due to its exploitation of the low-rank structure of the speckle component. Also, ST-based STAP method is computationally more efficient than SVD/EVD—based subspace approaches, due to its tracking subspace ability.
0014Accordingly, one embodiment of the invention provides a method for detecting a target in a non-homogeneous environment using a space-time adaptive processing of a radar signal. The method includes normalizing training data of the non-homogeneous environment to produce normalized training data; determining a normalized sample covariance matrix representing the normalized training data; tracking a subspace represented by the normalized sample covariance matrix to produce a clutter subspace matrix; determining a test statistic representing a likelihood of a presence of the target in the radar signal based on the clutter subspace matrix and a steering vector; and comparing the test statistic with a threshold to detect the target.
0015The normalized sample covariance matrix can be determined according to a sub-space tracking method, wherein a method for the clutter subspace tracking can be selected from a group including projection approximation subspace tracker (PAST), orthogonal projection approximation subspace tracker (OPAST), projection approximation subspace tracker with deflation (PASTd), fast approximate power iteration (FAPI), and modified fast approximate power iteration (MFAPI).
0016Another embodiment discloses a method for detecting a target in a non-homogeneous environment using a space-time adaptive processing of a radar signal. The method includes normalizing training data according to
0000<maths id="MATH-US-00002" num="00002"><math overflow="scroll"><mrow><mrow><msub><mover><mi>x</mi><mo>~</mo></mover><mi>k</mi></msub><mo>=</mo><mfrac><msub><mi>x</mi><mi>k</mi></msub><msqrt><mrow><msubsup><mi>x</mi><mi>k</mi><mi>H</mi></msubsup><mo></mo><msub><mi>x</mi><mi>k</mi></msub><mo></mo><mstyle><mtext>/</mtext></mstyle><mo></mo><mi>K</mi></mrow></msqrt></mfrac></mrow><mo>,</mo></mrow></math></maths>
0000to produce normalized training data; determining a normalized sample covariance matrix representing the normalized training data according to
0000<maths id="MATH-US-00003" num="00003"><math overflow="scroll"><mrow><mrow><mover><mi>R</mi><mo>~</mo></mover><mo>=</mo><mrow><mfrac><mn>1</mn><mi>K</mi></mfrac><mo></mo><mrow><munderover><mo>∑</mo><mrow><mi>k</mi><mo>=</mo><mn>1</mn></mrow><mi>K</mi></munderover><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mrow><msub><mover><mi>x</mi><mo>~</mo></mover><mi>k</mi></msub><mo></mo><msubsup><mover><mi>x</mi><mo>~</mo></mover><mi>k</mi><mi>H</mi></msubsup></mrow></mrow></mrow></mrow><mo>;</mo></mrow></math></maths>
0000tracking a subspace represented by the normalized sample covariance matrix uses a clutter subspace tracking according to
0000<br /><i>{tilde over (R)}=Ũ</i><sub>MN×r</sub>λ<sub>r×r</sub><i>Ũ</i><sub>MN×r</sub><sup>H</sup><i>+Iσ</i><sub>n</sub><sup>2 </sup>
0000to produce a clutter subspace matrix U; determining a test statistic representing a likelihood of a presence of the target in the radar signal based on the clutter subspace matrix and a steering vector according to
0000<maths id="MATH-US-00004" num="00004"><math overflow="scroll"><mrow><mrow><msub><mi>T</mi><mi>invention</mi></msub><mo>=</mo><mfrac><mrow><mo>|</mo><mrow><mrow><msup><mi>s</mi><mi>H</mi></msup><mo></mo><mrow><mo>(</mo><mrow><mi>I</mi><mo>-</mo><mrow><mover><mi>U</mi><mo>~</mo></mover><mo></mo><msup><mover><mi>U</mi><mo>~</mo></mover><mi>H</mi></msup></mrow></mrow><mo>)</mo></mrow></mrow><mo></mo><msub><mi>x</mi><mn>0</mn></msub></mrow><mo></mo><msup><mo>|</mo><mn>2</mn></msup></mrow><mrow><mrow><mo>(</mo><mrow><mrow><msup><mi>s</mi><mi>H</mi></msup><mo></mo><mrow><mo>(</mo><mrow><mi>I</mi><mo>-</mo><mrow><mover><mi>U</mi><mo>~</mo></mover><mo></mo><msup><mover><mi>U</mi><mo>~</mo></mover><mi>H</mi></msup></mrow></mrow><mo>)</mo></mrow></mrow><mo></mo><mi>s</mi></mrow><mo>)</mo></mrow><mo></mo><mrow><mo>(</mo><mrow><mrow><msubsup><mi>x</mi><mn>0</mn><mi>H</mi></msubsup><mo></mo><mrow><mo>(</mo><mrow><mi>I</mi><mo>-</mo><mrow><mover><mi>U</mi><mo>~</mo></mover><mo></mo><msup><mover><mi>U</mi><mo>~</mo></mover><mi>H</mi></msup></mrow></mrow><mo>)</mo></mrow></mrow><mo></mo><msubsup><mi>x</mi><mn>0</mn><mi>H</mi></msubsup></mrow><mo>)</mo></mrow></mrow></mfrac></mrow><mo>;</mo></mrow></math></maths>
0000and comparing the test statistic with a threshold to detect the target, wherein {tilde over (R)} is a normalized sample covariance matrix, λ<sub>r×r </sub>is a diagonal matrix with most important r eigenvalues of the clutter subspace along the diagonal, σ<sub>n</sub><sup>2 </sup>is a noise variance, I is an identity matrix, Ũ<sub>MN×r </sub>is an estimated clutter subspace, x<sub>0 </sub>is a target data vector under a test for target presence, s is a steering vector for a given Doppler and angle of arrival.
0017Yet another embodiment discloses a system for detecting a target in a radar signal of a non-homogeneous environment using a space-time adaptive processing. The system includes a phased-array antenna with multiple spatial channels for acquiring training data; a processor for normalizing the training data and for determining a normalized sample covariance matrix representing the normalized training data; and a tracking subspace estimator for tracking the normalized sample covariance matrix to produce a clutter subspace matrix, wherein the processor determines a test statistic representing a likelihood of a presence of the target in the radar signal based on the clutter subspace matrix and a steering vector and compares the test statistic with a threshold to detect the target.
BRIEF DESCRIPTION OF THE DRAWINGS
0018<figref idref="DRAWINGS">FIG. 1</figref> is a block diagram of prior art space-time adaptive processing (STAP) for detecting targets; and
0019<figref idref="DRAWINGS">FIG. 2</figref> is a block diagram of a system and a method of STAP method via subspace tracking according to some embodiments of an invention.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
0020<figref idref="DRAWINGS">FIG. 2</figref> shows a block diagram of a system and a method for detecting a target in a non-homogeneous environment using space-time adaptive processing of a radar signal. In one embodiment, the system includes a phased-array antenna <b>205</b> for acquiring normalizing training data via multiple spatial channels, and a processor <b>201</b> for normalizing <b>240</b> the training data and for determining <b>250</b> a normalized sample covariance matrix representing the normalized training data. Also, the system includes a tracking subspace estimator <b>260</b> for tracking the normalized sample covariance matrix to produce a clutter subspace matrix <b>265</b>. The tracking subspace estimator can be implemented using the processor <b>201</b> or an equivalent external processor. Also, the processor determines <b>270</b> a test statistic representing a likelihood of a presence of the target in the radar signal based on the clutter subspace matrix and a steering vector <b>230</b> and compares <b>280</b> the test statistic with a threshold to detect <b>290</b> the target.
0021Various embodiments of the invention use a low-rank structure of a speckle covariance matrix to simplify its tracking by some subspace tracking technique. Some embodiments are based on a realization that direct application of the subspace tracking (ST) to the compound-Gaussian distributed environment fails to take into account the power oscillation over range bins. To address this problem, normalization at the training signal level and at the test statistic level are described to adapt the ST to the compound-Gaussian environment. Specifically, the subspace tracking based low complexity STAP uses test signal {x<sub>0</sub>εC<sup>MN×1</sup>} <b>220</b> and training signals {x<sub>k</sub>εC<sup>MN×1</sup>}<sub>k</sub><sup>K</sup>=1 <b>210</b> and the steering vector {sεC<sup>MN×1</sup>} <b>230</b> as inputs.
0022The compound-Gaussian clutter is a product of a positive scalar λ<sub>k </sub>and a multi-dimensional complex Gaussian vector with mean zero and covariance matrix R as in (2)
0000<br /><i>X</i><sub>k</sub>=λ<sub>k</sub><i>z</i><sub>k</sub><i>εC</i><sup>MN×1</sup> (2)
0000where z<sub>k</sub>˜CN(0, R). The conditional distribution of x<sub>k </sub>is x<sub>k</sub>|γ<sub>k</sub>˜CN(0,γ<sub>k</sub>R), which implies power oscillations over range bins.
0023Because the clutter data have different powers over range bins, a normalization of the clutter data is preferred for precisely tracking the subspace R. One simple solution is to perform instantaneous power normalization of the clutter data before applying the ST techniques as
0000<maths id="MATH-US-00005" num="00005"><math overflow="scroll"><mrow><msub><mover><mi>x</mi><mo>~</mo></mover><mi>k</mi></msub><mo>=</mo><mrow><mfrac><msub><mi>x</mi><mi>k</mi></msub><msqrt><mrow><msubsup><mi>x</mi><mi>k</mi><mi>H</mi></msubsup><mo></mo><msub><mi>x</mi><mi>k</mi></msub><mo></mo><mstyle><mtext>/</mtext></mstyle><mo></mo><mi>K</mi></mrow></msqrt></mfrac><mo></mo><mn>240.</mn></mrow></mrow></math></maths>
0000Then, a normalized sample covariance matrix <b>250</b> is computed using the normalized training data <b>240</b>. The clutter subspace estimator <b>260</b> can use various methods such as projection approximation subspace tracker (PAST), orthogonal projection approximation subspace tracker (OPAST), projection approximation subspace tracker with deflation (PASTd), fast approximate power iteration (FAPI), and modified fast approximate power iteration (MFAPI).
0024Accordingly, one embodiment uses a normalized ST-based STAP detector <b>270</b> according to
0000<maths id="MATH-US-00006" num="00006"><math overflow="scroll"><mtable><mtr><mtd><mrow><msub><mi>T</mi><mi>invention</mi></msub><mo>=</mo><mfrac><mrow><mo>|</mo><mrow><mrow><msup><mi>s</mi><mi>H</mi></msup><mo></mo><mrow><mo>(</mo><mrow><mi>I</mi><mo>-</mo><mrow><mover><mi>U</mi><mo>~</mo></mover><mo></mo><msup><mover><mi>U</mi><mo>~</mo></mover><mi>H</mi></msup></mrow></mrow><mo>)</mo></mrow></mrow><mo></mo><msub><mi>x</mi><mn>0</mn></msub></mrow><mo></mo><msup><mo>|</mo><mn>2</mn></msup></mrow><mrow><mrow><mo>(</mo><mrow><mrow><msup><mi>s</mi><mi>H</mi></msup><mo></mo><mrow><mo>(</mo><mrow><mi>I</mi><mo>-</mo><mrow><mover><mi>U</mi><mo>~</mo></mover><mo></mo><msup><mover><mi>U</mi><mo>~</mo></mover><mi>H</mi></msup></mrow></mrow><mo>)</mo></mrow></mrow><mo></mo><mi>s</mi></mrow><mo>)</mo></mrow><mo></mo><mrow><mo>(</mo><mrow><mrow><msubsup><mi>x</mi><mn>0</mn><mi>H</mi></msubsup><mo></mo><mrow><mo>(</mo><mrow><mi>I</mi><mo>-</mo><mrow><mover><mi>U</mi><mo>~</mo></mover><mo></mo><msup><mover><mi>U</mi><mo>~</mo></mover><mi>H</mi></msup></mrow></mrow><mo>)</mo></mrow></mrow><mo></mo><msubsup><mi>x</mi><mn>0</mn><mi>H</mi></msubsup></mrow><mo>)</mo></mrow></mrow></mfrac></mrow></mtd><mtd><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></mtd></mtr></mtable></math></maths>
0000where Ũ <b>265</b> is the estimated clutter subspace from the instantaneously normalized signals <b>240</b> and <b>250</b>, using some subspace tracking techniques <b>260</b>. The test statistic <b>270</b> is used for testing whether a target is presence. The resulting test statistic T<sub>invention </sub><b>270</b> is compared to a threshold <b>280</b> to detect <b>290</b> whether a target is present, or not.
0025Accordingly, a method for detecting a target in a non-homogeneous environment using a space-time adaptive processing of a radar signal, can include normalizing training data of the non-homogeneous environment to produce normalized training data; determining a normalized sample covariance matrix representing the normalized training data; tracking a subspace represented by the normalized sample covariance matrix to produce a clutter subspace matrix; determining a test statistic representing a likelihood of a presence of the target in the radar signal based on the clutter subspace matrix and a steering vector; and comparing the test statistic with a threshold to detect the target.
0026For example, in one embodiment the method includes normalizing <b>240</b> training data according to
0000<maths id="MATH-US-00007" num="00007"><math overflow="scroll"><mrow><mrow><msub><mover><mi>x</mi><mo>~</mo></mover><mi>k</mi></msub><mo>=</mo><mfrac><msub><mi>x</mi><mi>k</mi></msub><msqrt><mrow><msubsup><mi>x</mi><mi>k</mi><mi>H</mi></msubsup><mo></mo><msub><mi>x</mi><mi>k</mi></msub><mo></mo><mstyle><mtext>/</mtext></mstyle><mo></mo><mi>K</mi></mrow></msqrt></mfrac></mrow><mo>,</mo></mrow></math></maths>
0000to produce normalized training data; determining <b>250</b> a normalized sample covariance matrix representing the normalized training data according to
0000<maths id="MATH-US-00008" num="00008"><math overflow="scroll"><mrow><mrow><mover><mi>R</mi><mo>~</mo></mover><mo>=</mo><mrow><mfrac><mn>1</mn><mi>K</mi></mfrac><mo></mo><mrow><munderover><mo>∑</mo><mrow><mi>k</mi><mo>=</mo><mn>1</mn></mrow><mi>K</mi></munderover><mo></mo><mstyle><mspace width="0.3em" height="0.3ex" /></mstyle><mo></mo><mrow><msub><mover><mi>x</mi><mo>~</mo></mover><mi>k</mi></msub><mo></mo><msubsup><mover><mi>x</mi><mo>~</mo></mover><mi>k</mi><mi>H</mi></msubsup></mrow></mrow></mrow></mrow><mo>;</mo></mrow></math></maths>
0000tracking <b>260</b> a subspace represented by the normalized sample covariance matrix uses a clutter subspace tracking according to
0027{tilde over (R)}=Ũ<sub>MN×r</sub>λ<sub>r×r</sub>Ũ<sub>MN×r</sub><sup>H</sup>+Iσ<sub>n</sub><sup>2 </sup>to produce a clutter subspace matrix U <b>265</b>; determining <b>270</b> a test statistic representing a likelihood of a presence of the target in the radar signal based on the clutter subspace matrix and a steering vector according to
0000<maths id="MATH-US-00009" num="00009"><math overflow="scroll"><mrow><mrow><msub><mi>T</mi><mi>invention</mi></msub><mo>=</mo><mfrac><mrow><mo>|</mo><mrow><mrow><msup><mi>s</mi><mi>H</mi></msup><mo></mo><mrow><mo>(</mo><mrow><mi>I</mi><mo>-</mo><mrow><mover><mi>U</mi><mo>~</mo></mover><mo></mo><msup><mover><mi>U</mi><mo>~</mo></mover><mi>H</mi></msup></mrow></mrow><mo>)</mo></mrow></mrow><mo></mo><msub><mi>x</mi><mn>0</mn></msub></mrow><mo></mo><msup><mo>|</mo><mn>2</mn></msup></mrow><mrow><mrow><mo>(</mo><mrow><mrow><msup><mi>s</mi><mi>H</mi></msup><mo></mo><mrow><mo>(</mo><mrow><mi>I</mi><mo>-</mo><mrow><mover><mi>U</mi><mo>~</mo></mover><mo></mo><msup><mover><mi>U</mi><mo>~</mo></mover><mi>H</mi></msup></mrow></mrow><mo>)</mo></mrow></mrow><mo></mo><mi>s</mi></mrow><mo>)</mo></mrow><mo></mo><mrow><mo>(</mo><mrow><mrow><msubsup><mi>x</mi><mn>0</mn><mi>H</mi></msubsup><mo></mo><mrow><mo>(</mo><mrow><mi>I</mi><mo>-</mo><mrow><mover><mi>U</mi><mo>~</mo></mover><mo></mo><msup><mover><mi>U</mi><mo>~</mo></mover><mi>H</mi></msup></mrow></mrow><mo>)</mo></mrow></mrow><mo></mo><msubsup><mi>x</mi><mn>0</mn><mi>H</mi></msubsup></mrow><mo>)</mo></mrow></mrow></mfrac></mrow><mo>;</mo></mrow></math></maths>
0000and comparing <b>280</b> the test statistic with a threshold to detect <b>290</b> the target, wherein {tilde over (R)} is a normalized sample covariance matrix, λ<sub>r×r </sub>is a diagonal matrix with most important r eigenvalues of the clutter subspace along the diagonal, σ<sub>n</sub><sup>2 </sup>is a noise variance, I is an identity matrix, Ū<sub>MN×r </sub>is an estimated clutter subspace, x<sub>0 </sub>is a target data vector under a test for target presence, s is a steering vector for a given Doppler frequency and angle of arrival.
Effect of the Invention
0028The embodiments of the invention provide a method for detecting targets. A low complexity STAP via subspace tracking is provided for compound Gaussian distributed environment, which models the power oscillation between the test and the training signals.
0029The above-described embodiments of the present invention can be implemented in any of numerous ways. For example, the embodiments may be implemented using hardware, software or a combination thereof. When implemented in software, the software code can be executed on any suitable processor or collection of processors, whether provided in a single computer or distributed among multiple computers. Such processors may be implemented as integrated circuits, with one or more processors in an integrated circuit component. Though, a processor may be implemented using circuitry in any suitable format.
0030Further, it should be appreciated that a computer may be embodied in any of a number of forms, such as a rack-mounted computer, a desktop computer, a laptop computer, minicomputer, or a tablet computer. Such computers may be interconnected by one or more networks in any suitable form, including as a local area network or a wide area network, such as an enterprise network or the Internet. Such networks may be based on any suitable technology and may operate according to any suitable protocol and may include wireless networks, wired networks or fiber optic networks.
0031Although the invention has been described by way of exes of preferred embodiments, it is to be understood that various other adaptations and modifications may be made within the spirit and scope of the invention. Therefore, it is the object of the appended claims to cover all such variations and modifications as come within the true spirit and scope of the invention.
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Every citation, both ways
| Document | Relation | Office | Cited during |
|---|---|---|---|
| US2018031690A1 | Cited by | United States of America | Search report |
| US9341706B2 | Cited by | United States of America | Search report |
| CN107315169A | Cited by | China | Search report |
| US9529078B2 | Cited by | United States of America | Search report |
| CN106443596A | Cited by | China | Search report |
| CN108663667A | Cited by | China | Search report |
| US2015109165A1 | Cited by | United States of America | Pre-grant |
| CN106546965A | Cited by | China | Search report |
| CN108020817A | Cited by | China | Search report |
| US10054666B2 | Cited by | United States of America | Search report |
| US10228449B2 | Cited by | United States of America | Search report |
| US9103910B2 | Cited by | United States of America | Search report |
| US2016033623A1 | Cited by | United States of America | Pre-grant |
| US2013285847A1 | Cited by | United States of America | Pre-grant |
| US11018705B1 | Cited by | United States of America | Applicant |
| US10649075B2 | Cited by | United States of America | Search report |
| US10101445B2 | Cited by | United States of America | Search report |
| US2005237236A1 | Cites | United States of America | Pre-grant |
| US2006238408A1 | Cites | United States of America | Pre-grant |
| US6040797A | Cites | United States of America | Pre-grant |
| US6518914B1 | Cites | United States of America | Pre-grant |
| US7212150B2 | Cites | United States of America | Pre-grant |
4 members in 2 offices
Priority claims6
| Document | Office | Kind | Date |
|---|---|---|---|
| 201161471407 | United States of America | P | |
| 201161471407 | United States of America | P | |
| 201113291323 | United States of America | A | |
| 61471407 | – | – | – |
| US201113291323 | – | – | – |
| US201161471407P | – | – | – |
Members4
| Document | Office | Kind | |
|---|---|---|---|
| US2012249361A1 | United States of America | A1 | |
| JP2012220492A | Japan | A | |
| US8907841B2 | United States of America | B2 | |
| JP6021376B2 | Japan | B2 |
32 transactions on the USPTO file
Allowed after 1 non-final rejection.
- Non-final rejections
- 1
- Final rejections
- 0
- RCEs
- 0
- Appeals
- 0
Over time
Point at a mark for the transactionTransactions
| Event | Code | |
|---|---|---|
| Payment of Maintenance Fee, 4th Year, Large EntityM1551 | M1551 | |
| Recordation of Patent Grant MailedPGM/ | PGM/ | |
| Patent Issue Date Used in PTA CalculationAllowedPTAC | PTAC | |
| Email NotificationEML_NTR | EML_NTR | |
| Issue Notification MailedAllowedWPIR | WPIR | |
| Dispatch to FDCD1935 | D1935 | |
| Application Is Considered Ready for IssuePILS | PILS | |
| Issue Fee Payment VerifiedN084 | N084 | |
| Issue Fee Payment ReceivedIFEE | IFEE | |
| Electronic ReviewELC_RVW | ELC_RVW | |
| Email NotificationEML_NTF | EML_NTF | |
| Mail Notice of AllowanceAllowedMN/=. | MN/=. | |
| Notice of Allowance Data Verification CompletedAllowedN/=. | N/=. | |
| Date Forwarded to ExaminerFWDX | FWDX | |
| Response after Non-Final ActionA... | A... | |
| Electronic ReviewELC_RVW | ELC_RVW | |
| Email NotificationEML_NTF | EML_NTF | |
| Mail Non-Final RejectionNon-final rejectionMCTNF | MCTNF | |
| Non-Final RejectionNon-final rejectionCTNF | CTNF | |
| Case Docketed to Examiner in GAUDOCK | DOCK | |
| Email NotificationEML_NTR | EML_NTR | |
| PG-Pub Issue NotificationPG-ISSUE | PG-ISSUE | |
| Case Docketed to Examiner in GAUDOCK | DOCK | |
| Case Docketed to Examiner in GAUDOCK | DOCK | |
| Application Dispatched from OIPEOIPE | OIPE | |
| Application Is Now CompleteCOMP | COMP | |
| Email NotificationEML_NTR | EML_NTR | |
| Filing ReceiptFLRCPT.O | FLRCPT.O | |
| Sent to Classification ContractorPGPC | PGPC | |
| Cleared by OIPE CSRL194 | L194 | |
| IFW Scan & PACR Auto Security ReviewSCAN | SCAN | |
| Initial Exam Team nnIEXX | IEXX |
7 legal events, as the office reported them to INPADOC
Over the term
Point at a mark for the eventEvents
| Event | Code | |
|---|---|---|
| Lapsed due to failure to pay maintenance feeLapsedFP | FP | |
| Lapse for failure to pay maintenance feesLapsedPATENT EXPIRED FOR FAILURE TO PAY MAINTENANCE FEES (ORIGINAL EVENT CODE: EXP.); ENTITY STATUS OF PATENT OWNER: LARGE ENTITYLAPS | LAPS | |
| Information on status: patent discontinuationPATENT EXPIRED DUE TO NONPAYMENT OF MAINTENANCE FEES UNDER 37 CFR 1.362STCH | STCH | |
| Fee payment procedureMAINTENANCE FEE REMINDER MAILED (ORIGINAL EVENT CODE: REM.); ENTITY STATUS OF PATENT OWNER: LARGE ENTITYFEPP | FEPP | |
| Maintenance fee paymentMAFP | MAFP | |
| Information on status: patent grantGrantedPATENTED CASESTCF | STCF | |
| AssignmentAS | AS |
Numbers
- Publication
- 20120249361
- Publication, DOCDB
- 2012249361
- Publication, EPODOC
- US2012249361
- Application
- 13291323
- Application, DOCDB
- 201113291323
- Application, EPODOC
- US201113291323
Titles
- English
- Method for Detecting Targets Using Space-Time Adaptive Processing
Classification
- CPC, 3
- G01S7/292
- G01S13/5244
- G01S2013/0245
- IPC, 1
- G01S13 04
- USPC, 1
- 342159000