Method for locating mobile terminals, system and components therefor

<u>TEXT OF THE DESCRIPTION</u>

TECHNICAL FIELD

0001The present invention relates to the geographic location of mobile terminals within telecommunication networks.

BACKGROUND ART

0002In the prior art, various solutions are already known in which the terminals belonging to a mobile radio network are located on the basis of the physical signals and of the information available in the network, that is, without the aid of external equipments or systems, such as satellite positioning systems.

0003The various known solutions, aimed at allowing to locate mobile terminals on the basis of the physical signals and of the information available in the network, are distinguished from each other by the combination of two key aspects: the type of data provided to the position calculation system and the processing methodology applied to said data.

0004In regard to the first aspect, there are at least four types of physical quantities that can be measured by the mobile radio network and/or by the mobile terminal in order to obtain information useful for locating purposes.

0005In the first place, it is possible to measure the power received by the mobile terminal from a certain radio base station (currently indicated as BTS in the case of GSM and similar systems). This solution allows to obtain a circumference - centred on the base station under consideration - whereon, in an unknown point, lies the mobile terminal. Combining multiple power measurements and then intersecting the respective circumferences, the point where the mobile terminal lies can be identified. Power measurements are intrinsically inaccurate, because they are influenced by many uncontrollable factors, the most significant of which are antenna gain and fading, a phenomenon involving electromagnetic wave propagation, which cause the random and unpredictable fluctuation of the signal level.

0006It is also possible to measure the Timing Advance (TA), i.e. the "time of flight" of a reference signal such as a control burst between the base station and the mobile terminal (downlink) and, symmetrically, between the mobile terminal and the base station (uplink). Therefore, the value of TA indicates the distance between the mobile terminal and a base station. Like power measurements, TA also identifies a circumference whereon the mobile to be located lies. Combining multiple TA measurements (and then intersecting the corresponding circumferences) it is possible to identify the point where the mobile terminal lies. In the case of GSM and GPRS networks, TA measurements are inaccurate, both because of the ways by which they are taken, and because of the quantization error due to the finite number of bits used to store the measurement in the radio base station: in practice, the measure of TA allows to identify annuli with radial extension of about 550 m.

0007There are also the measurements of Observed Time Differences (OTD), obtained by measuring the difference between the distance from a mobile terminal and a base station and the distance from the same mobile terminal and an another base station. The OTD measurements describe hyperbolas that, appropriately combined, allow to locate the mobile terminal. The OTD measurements provide results that are intrinsically more precise than the two described above, because they are based on the measurement of the difference of the "times of flight" of an electromagnetic field (as evidenced by the fact that the GPS system, universally known as the most accurate positioning system currently available, is based on the same type of measurements).

0008Lastly, there are the measurements of Time of Arrival (TOA), entirely similar to the OTD measurements with the difference given by the fact that the measurement is taken by the network and not by the mobile terminal.

0009Both OTD measurements and TOA measurements have the drawback derived by the fact that, to yield accurate result, they require an exact synchronisation between the base stations: this condition requires to be achieved the presence, within the network, of additional synchronisation devices.

0010The four types of measurements described above are used to calculate the position of a mobile terminal both operating in an absolute way, i.e. intersecting the geometric loci described by the measurements taken, and comparing the available measurements with maps prepared a priori.

0011In the prior art there are different systems based both on the first method (power) and on the second method (TA), which are further differentiated by the type of measurements whereon the locating operation is based.

0012For instance, in <patcit id="pcit0001" dnum="US5613205A"><text>US-A-5 613 205</text></patcit> the position of a mobile terminal is estimated by intersecting the geometric loci derived from the combination of OTD and power measurements.

0013In <patcit id="pcit0002" dnum="WO0018148A"><text>WO-A-0018148</text></patcit> and <patcit id="pcit0003" dnum="US6167274A"><text>US-A-6 167 274</text></patcit>, in order to locate a mobile terminal, the measurements of the power received by the mobile from a certain number of base stations are compared with a database which contains the power "signatures" of a certain area as a function of the geographic co-ordinates.

0014However, locating systems currently available in the art leave three fundamental issues unresolved.

0015In the first place, it is not considered that real locating scenarios are affected by measurement errors of various kinds, which have a considerable impact on locating accuracy (solutions like the one described in the document <patcit id="pcit0004" dnum="US5613205A"><text>US-A-5 613 205</text></patcit> in fact consider only some of the more relevant errors). Among the main errors to be considered are those made in geo-referencing the base station (typically in the order of a few tens of metres with peaks in the order of hundreds of metres), in measuring the times OTD and TOA due to the lack of synchronisation of the base stations (typically with geometric equivalents in the order of tens of metres), in measuring the power received by a mobile due to antenna gains and fading and, lastly, in measuring all mentioned parameters due to the systematic and intrinsic errors of the measurements themselves and to the multipath of the physical signals.

0016As a consequence of these errors, known locating systems yield poor accuracy. Moreover, for the methods based on the intersection of geometric loci, the various measurements can also diverge, preventing the estimation of the mobile terminal position: in fact, due to the movement of the geometric loci caused by the errors, there can be either no intersection or more than one. In the second place, for the methods that are based on the comparison between the signals received by the terminal and a database of "geographic signatures" of the signals, it is necessary to constantly update the database as the mobile radio network evolves. This updating operation is far from simple and the common risk is to compare the received signals with an obsolete database. Moreover, for practical reasons, the database is built using data calculated with mathematical models. Even in the best cases, this entails a difference relative to the values measured by the terminal in the field, and is another source of errors (see for instance <patcit id="pcit0005" dnum="US6167274A"><text>US-A-6 167 274</text></patcit>).

0017Lastly, the methods presented in the literature and commonly known are not able to combine all types of measurements (power, TA, OTD and TOA) in a flexible way, but are limited at most to combine them in a rigid fashion, for instance, OTD measurements and power measurements (see <patcit id="pcit0006" dnum="US5613205A"><text>US-A-5 613 205</text></patcit>). Consequently, when the prescribed measurements are not available, the locating system is incapable of adapting itself to the real measurement scenario, which it has to deal with, and therefore it is not able to perform its functions.

0018WO 01/69956 relates to provision of location information concerning a wireless station of a communications system. In accordance with the disclosed method, at least one location measurement is accomplished by an element that associates with the communications system. An estimate for the location of the wireless station is defined based on the at least one measurement. The estimate is subjected to a non-linear measurement error minimisation routine to determine more accurate location of the wireless station.

DESCRIPTION OF THE INVENTION

0019The present invention is aimed at providing a solution able to overcome the drawbacks described above.

0020According to the present invention, said aim is achieved with a method having the characteristics specifically listed in the claims that follow.

0021In particular, the invention relates to a method for identifying the position of mobile terminals: on the basis of a plurality of signals or physical quantities, corresponding error functions are determined which allow to calculate a global error function having a minimum in correspondence with the position of the mobile terminal to be located.

0022The invention also relates to the corresponding system and the associated components.

0023Among said components it is also included a software product able to be loaded directly in the memory of a digital computer (as is the case of currently produced mobile telephones) associated with a mobile terminal for telecommunication networks. The software product under investigation comprises portions of software code that can implement at least a part of said integrated locating module, according to the invention, in the mobile terminal itself when the software product is run on said digital computer.

BRIEF DESCRIPTION OF THE DRAWINGS

0024The invention will now be described, by the means of a non-limiting example and with reference to the accompanying drawings, in which: <ul id="ul0001" list-style="dash" compact="compact"><li><figref idref="f0001">Figure 1</figref> shows, in the form of a functional block diagram, the organisation of the system according to the invention, and</li><li><figref idref="f0002">Figure 2</figref> is a flow chart illustrating the implementation of the method according to the invention.</li></ul>

DESCRIPTION OF A PREFERRED EMBODIMENT

0025The diagram of <figref idref="f0001">Figure 1</figref> shows a preferred embodiment of the invention, with reference to the interaction between a "communication" or "network" environment, designated as CA, and a "locating" environment: the latter can be seen essentially as an implementation and development of a known locating function (Mobile Location Centre or MLC) already present in the network/system.

0026The CA communication environment essentially corresponds to a normal mobile radio network operating according to any GSM, GPRS, UMTS or equivalent standards, including new generation developments. The solution according to the invention is therefore "transparent" regarding the characteristic specifications of the CA communication environment.

0027The network under investigation thus comprises n (n>0) base stations (indicated for the sake of simplicity as BTS1, BTS2, ...) as well as one or more mobile terminals MS1, MS2

0028The general operating criteria of such a network, whichever standard is adopted (GSM, GPRS, UMTS or others) are wholly known in the art and hence do not require a detailed description herein.

0029The locating environment MLC has the purpose of determining the position of mobile terminals MS1, MS2 ... in terms of location co-ordinates (x, y) within the territory covered by the communication network.

0030The MLC environment mainly comprises: <ul id="ul0002" list-style="dash" compact="compact"><li>a supervision module SM overseeing all the operations of the locating system;</li><li>an accounting and billing module AB, and</li><li>a gateway module GW destined to act (according to criteria better described below) as an interface towards an IP network whereto are connected end users and/or service providers globally designated as U.</li></ul>

0031Within the locating environment MLC the following functions are provided: <ul id="ul0003" list-style="dash" compact="compact"><li>a position calculation function PCF, and</li><li>a communication management function.</li></ul>

0032The communication management function is normally performed by dedicated modules one of which, indicated as MGC, resides at the fixed network level, for instance at a network management node. Each of the mobile terminals MS1, MS2... is also provided - in a manner known in itself - with a corresponding communication management module, not explicitly illustrated in the drawings.

0033In an additional embodiment, the terminals can also be provided with optional devices to conduct measurements to complement those carried out by the network. For instance, the terminals can comprise an altimetry, pressure measuring devices, devices able to measure distances, etc., such as to allow to identify, with a determined level of precision, at least one geographic co-ordinate or a distance from a predetermined geographic co-ordinate. The availability of such devices allows to provide the PCF function with additional information able to enhance locating precision, as shall be described in detail below.

0034The aforesaid optional devices can also be installed in the BTS, as is readily apparent to a person versed in the art.

0035If the measurements do not vary over time, for instance, in a determined area, such measurements can be inserted, in the form of appropriate static values or functions for their calculation, in the SM module so that, through the GW module, they are transferred to the PCF function.

0036The position calculation function can instead reside at the network level (as shown in continuous lines in the accompanying drawings), at the level of the mobile terminals MS1, MS2 ... (as indicated with dashed lines in the accompanying drawings), and also at both levels. Therefore, the specific solution selected is dictated by system design considerations (processing power available in the various locations, etc....) and in fact it has no bearing on the understanding of the invention.

0037The currently preferred embodiment of the invention provides two possible operating modes, i.e. <ul id="ul0004" list-style="dash" compact="compact"><li>locating operation invoked by the individual mobile terminal involved</li><li>locating operation invoked by the supervision SM module.</li></ul>

0038If one of the mobile terminals MS1, MS2... invokes the locating operation, the determination of its position entails the completion of the following operations: <ul id="ul0005" list-style="dash" compact="compact"><li>the mobile terminal involved MS1, MS2 ... selects the set of data whereon the position is to be calculated (dynamic or pre-set selection); if said set includes the TOA data, the mobile terminal must require from the network said values which are provided for instance via SMS or an ad-hoc data communication protocol;</li><li>the mobile terminal measures the values of the set defined above;</li><li>the mobile terminal requests from the network the geographic positions of the base stations whereto the above measurements refer, and the network communicates them to the mobile terminal, for instance by means of broadcast or SMS;</li><li>the PCF function in the mobile terminal computes the position of the terminal itself;</li><li>only if required, the position just calculated is sent (for instance via SMS or ad hoc data communication protocol) to the supervision module SM in view of possible additional processing in order to provide additional services (for instance tracking, tourist guide, transmission of information that depends on geographic position, etc.), such data being obtained for instance from providers U through the IP network.</li></ul>

0039If the supervision module SM invokes the locating of a determined mobile terminal, the following operations are carried out: <ul id="ul0006" list-style="dash" compact="compact"><li>the set of data on which the position is to be calculated is selected. If said set includes the OTD data, the supervision module SM must request the involved mobile terminal to provide said values that are provided for instance via SMS or ad-hoc data communication protocol;</li><li>the values of the set considered above are measured;</li><li>the PCF function at the MLC level calculates the position of the mobile terminal;</li><li>only if requested, the position just calculated is sent (for instance via SMS or ad hoc data communication protocol) to the mobile terminal usually together with the other information (tourist guide, transmission of information which depends on the geographic position, road map of the area, etc.) already seen above.</li></ul>

0040Once again it is stressed that the solution according to the invention is applicable to any mobile radio network (GSM, GPRS, UMTS or others) that complies with the related international specifications and comprises a certain number of radio base stations, mutually connected by means of a core network, and a certain number of mobile radio terminals whose geographic position (for instance latitude and longitude) is to be estimated.

0041The core of the locating system illustrated herein is constituted by the PCF function, destined to calculate the position of the mobile terminal.

0042For this purpose, the PCF function, regardless of its location, receives at its input the data needed to calculate the position (level of power received by the terminal, TA, OTD, TOA or a combination, even incomplete, thereof) and provides at its output the unknown position of the mobile. Since some data among those mentioned can be measured either by the network alone (TOA) or by the mobile terminal alone (OTD), communication protocols are used (implemented by the MGC communication management function) which transfer them from the mobile terminal to the network and vice versa.

0043In particular, if the PCF function resides on the mobile terminal and it is necessary to use the TOA data because the other data are not available, the supervision module SM (the only one that knows the TOA data) makes such data available to the mobile terminal.

0044In wholly similar fashion, if the PCF function resides on the network, the mobile terminal involved in the locating action makes available to the network, if this is necessary, the data which the network cannot measure (e.g. OTD).

0045All this while the gateway GW (preferably constructed according to the standard ETSI TS 101.724 V.7.3.0 (2000-02) - "Digital cellular telecommunications system (Phase 2+); Location Services (LCS); (Functional description) - Stage 2; (GSM 03.71 version 7.3.0 Release 1998)" manages the information security and the routing of the information between IP network and the locating system.

0046Regardless of where it is physically located, the PCF function for calculating the position operates by minimising a combination of error functions defined in the manner described below, where (<i>x,y</i>) are the (unknown) co-ordinates of the terminal, <i>n</i> is the number of available base stations and <i>dist</i> calculates the absolute distance between two points: <ul id="ul0007" list-style="dash" compact="compact"><li>for TA measurements: <maths id="math0001"><math display="block"><mtable><mtr><mtd><msub><mi>f</mi><mi>j</mi></msub><mfenced><mi>x</mi><mi>y</mi></mfenced><mo>=</mo><mi mathvariant="italic">dist</mi><mfenced><mi mathvariant="italic">MS</mi><msub><mi mathvariant="italic">BTS</mi><mi>j</mi></msub></mfenced><mo>-</mo><msub><mi mathvariant="italic">TA</mi><mi>j</mi></msub></mtd><mtd><mi>j</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>…</mo><mo>,</mo><mi>n</mi></mtd></mtr></mtable></math><img file="EP1510099B1_D0001.tif" /></maths></li><li>for OTD measurements: <maths id="math0002"><math display="block"><msub><mi>f</mi><mi>k</mi></msub><mfenced><mi>x</mi><mi>y</mi></mfenced><mo>=</mo><mi mathvariant="italic">dist</mi><mfenced><mi mathvariant="italic">MS</mi><msub><mi mathvariant="italic">BTS</mi><mi>i</mi></msub></mfenced><mo>-</mo><mi mathvariant="italic">dist</mi><mfenced><mi mathvariant="italic">MS</mi><msub><mi mathvariant="italic">BTS</mi><mi>j</mi></msub></mfenced><mo>-</mo><mi>O</mi><mo>⁢</mo><msub><mi mathvariant="italic">TD</mi><mi mathvariant="italic">ij</mi></msub><mspace width="3em" /><mi>i</mi><mo>,</mo><mi>j</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>…</mo><mo>,</mo><mi>n</mi><mo>;</mo><mmultiscripts><mi>k</mi><mprescripts /><mspace width="2em" /><none /></mmultiscripts><mo>=</mo><mn>1</mn><mo>,</mo><mo>…</mo><mo>,</mo><mi>n</mi><mo>!</mo><mo>/</mo><mn>2</mn></math><img file="EP1510099B1_D0002.tif" /></maths></li></ul>

0047It will be appreciated that the above also applies, respectively: <ul id="ul0008" list-style="dash" compact="compact"><li>to power measurements, because, similarly to what is defined for TA measurements, they are circumferences centred on the reference base station</li><li>to TOA measurements, because they are simply measurements similar to the OTD measurements, but carried out by the network instead of the terminal</li><li>to other measurements, for instance measurements of altitude over mean sea level, obtained by means of optional devices; in this case, they are curves that depend on the type of physical dimensions measured and that, for instance, in the case of heights over mean sea level, can be represented as a quadratic function proportional to the altitude difference between what is indicated by the device, for instance an altimeter, and the actual altitude of the mobile terminal, in the following form: <maths id="math0003"><math display="block"><mo mathvariant="normal">⋅</mo><msub><mrow><mspace width="1em" /><mi mathvariant="normal">f</mi></mrow><mi mathvariant="normal">h</mi></msub><mspace width="1em" /><mfenced><mi mathvariant="normal">x</mi><mi mathvariant="normal">y</mi><mi mathvariant="normal">z</mi></mfenced><mo mathvariant="normal">=</mo><msup><mfenced><mi mathvariant="normal">z</mi><mo mathvariant="normal">-</mo><msub><mi mathvariant="normal">z</mi><mi>altimeter</mi></msub></mfenced><mn mathvariant="normal">2</mn></msup></math><img file="EP1510099B1_D0003.tif" /></maths> in which Z_altimeter is the altitude indicated by the altimeter. For other types of measurements, as will be readily apparent to those versed in the art, distance functions corresponding to the measurements carried out can be used.</li></ul>

0048It will be appreciated that any optional measurements as mentioned above allow the method to carry out the locating operation, improving both its calculation times and its precision. Consider, for instance, the additional measurement of the altitude of the terminal MS above the mean sea level. In this case the locating method is very efficient because the altitude measurement limits the field of existence of the solution itself to a determined iso-altimetric curve or to a set of values proximate to the identified measurement. The locating method can thus derive considerable advantages therefrom, in terms of velocity of convergence of the PCF function in seeking the minimum value, at least with respect to the times to be expected if all co-ordinates were unknown. In fact, to the function f_h, as exemplified, can be given a high weight in the global error function (since f_h is based, for instance, on z_altimeter which is a very precise measurement) thereby allowing the iterative process to reach the exact altitude in just a few steps and, just as fast, to converge with the other two co-ordinates, for instance x and y, which, as will be readily apparent to a person versed in the art, are forced to move around a curvilinear abscissa. Moreover, knowledge of the altitude of the terminal MS also allows to improve locating precision, because this knowledge provides more precise information than the other available measurements (OTD, TA, ...) and such as to constrain the solution in an area around the exact point.

0049It will be appreciated that both for the terms TA_j and for the terms OTD_ij (or equivalent for power and TOA measurements) in general expressions of the following type apply <maths id="math0004"><math display="block"><msub><mi>TA</mi><mi mathvariant="normal">j</mi></msub><mo mathvariant="normal">=</mo><msub><mi>ta</mi><mi mathvariant="normal">i</mi></msub><mn mathvariant="normal">.</mn><mi mathvariant="normal">c</mi><mo mathvariant="normal">±</mo><msub><mi mathvariant="normal">ϵ</mi><mi>taj</mi></msub></math><img file="EP1510099B1_D0004.tif" /></maths><maths id="math0005"><math display="block"><msub><mi>OTD</mi><mi>ij</mi></msub><mo mathvariant="normal">=</mo><msub><mi>otd</mi><mi>ij</mi></msub><mn mathvariant="normal">.</mn><mi mathvariant="normal">c</mi><mo mathvariant="normal">±</mo><msub><mi mathvariant="normal">ϵ</mi><mi>otdj</mi></msub></math><img file="EP1510099B1_D0005.tif" /></maths> where c indicates the speed of light in a vacuum, the term in lower case letters expresses the "exact" value of the measurement and the term ∈ expresses the error component.

0050All measurements conducted and available are sent to the PCF function where they are combined in a global error function (or, rather, functional) Φ(<i>f_i</i>) whose minimum is sought with the variation of the <i>x</i>, <i>y</i> co-ordinates of the mobile terminal.

0051In particular, considering <i>m</i> available functions - corresponding to a total of <i>m</i> measurements of power and/or OTD and/or TA and/or TOA - the PCF function operates seeking the minimum value of Φ <maths id="math0006"><math display="block"><munder><mi>min</mi><mrow><mi>x</mi><mo>,</mo><mi>y</mi></mrow></munder><mo>⁢</mo><mi mathvariant="normal">Φ</mi><mfenced><msub><mi>f</mi><mi>i</mi></msub></mfenced><mspace width="3em" /><mi>i</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>…</mo><mo>,</mo><mi>m</mi></math><img file="EP1510099B1_D0006.tif" /></maths> where Φ(<i>f_i</i>) can be, for example, Φ = Σ <i>f_i²</i> or Φ = var(<i>f_i</i>,0) with i = 1, ..., m or yet other functions which minimise total error contribution and where m depends on the number of basic measurements available.

0052The function Φ is thus continuous in the plane <i>x</i>, <i>y</i> and has a local minimum in which the total error contribution of all functions <i>f_i</i> with i = 1, ..., m is minimum.

0053The minimum can be equal to 0 (zero) only if the measurement errors of physical dimensions such as power, TA, OTD, TOA etc. are null.

0054In general, this situation is impossible in real cases.

0055The <i>x</i>, <i>y</i> co-ordinates in which the global error function Φ is minimum, correspond, according to the present invention, to the position co-ordinates of the mobile terminal with maximum probability.

0056As an example of application of the criterion described above, consider the case in which the mobile terminal involved in the locating action measures the TA relative to the serving radio base station and also measures the OTD relative to another radio base station. In this case, there are two available error functions: <maths id="math0007"><math display="block"><mtable><mtr><mtd><msub><mi>f</mi><mn>1</mn></msub><mfenced><mi>x</mi><mi>y</mi></mfenced><mo>=</mo><msqrt><msup><mfenced><mi>x</mi><mo>-</mo><msub><mi>X</mi><mn>1</mn></msub></mfenced><mn>2</mn></msup><mo>+</mo><msup><mfenced><mi>y</mi><mo>-</mo><msub><mi>Y</mi><mn>1</mn></msub></mfenced><mn>2</mn></msup></msqrt><mo>-</mo><msub><mi mathvariant="italic">TA</mi><mn>1</mn></msub></mtd></mtr><mtr><mtd><msub><mi>f</mi><mn>2</mn></msub><mfenced><mi>x</mi><mi>y</mi></mfenced><mo>=</mo><msqrt><msup><mfenced><mi>x</mi><mo>-</mo><msub><mi>X</mi><mn>2</mn></msub></mfenced><mn>2</mn></msup><mo>+</mo><msup><mfenced><mi>y</mi><mo>-</mo><msub><mi>Y</mi><mn>2</mn></msub></mfenced><mn>2</mn></msup></msqrt><mo>-</mo><msqrt><msup><mfenced><mi>x</mi><mo>-</mo><msub><mi>X</mi><mn>1</mn></msub></mfenced><mn>2</mn></msup><mo>+</mo><msup><mfenced><mi>y</mi><mo>-</mo><msub><mi>Y</mi><mn>1</mn></msub></mfenced><mn>2</mn></msup></msqrt><mo>-</mo><msub><mi mathvariant="italic">OTD</mi><mn>12</mn></msub></mtd></mtr></mtable></math><img file="EP1510099B1_D0007.tif" /></maths> where (x,y) are the unknown co-ordinates of the mobile terminal and <i>(X</i>₁<i>,Y</i>₁<i>)</i> and <i>(X</i>₂,<i>Y</i>₂<i>)</i> are, respectively, the co-ordinates of the first and of the second base station.

0057The position of the mobile terminal can therefore be calculated by the PCF function <maths id="math0008"><math display="block"><mfenced><mi>x</mi><mi>y</mi></mfenced><mo>=</mo><munder><mi>min</mi><mrow><mi>x</mi><mo>,</mo><mi>y</mi></mrow></munder><mfenced open="{" close="}"><mi>var</mi><mfenced><msub><mi>f</mi><mn>1</mn></msub><mfenced><mi>x</mi><mi>y</mi></mfenced><mo>,</mo><msub><mi>f</mi><mn>2</mn></msub><mfenced><mi>x</mi><mi>y</mi></mfenced><mo>,</mo><mn>0</mn></mfenced></mfenced></math><img file="EP1510099B1_D0008.tif" /></maths> where "var" indicates variation.

0058The position thus found is not affected by the geo-referencing errors of the base stations (errors always present in real mobile radio networks), by the synchronisation errors of the base stations themselves and by the errors in measurement of the various reference dimensions (powers, TA, OTD and TOA).

0059The solution described performs an operation of minimisation of said errors and, naturally, if the errors mentioned above were null, each function <i>f_j</i> would have a zero in the position occupied by the mobile terminal.

0060In the presence of the aforesaid errors, the function reaches in any case a minimum (and not a zero) in the point where it is most plausible that the mobile is located because the total error contribution is minimal.

0061In other words, the solution according to the invention is not limited to seeking the intersection of geometric regions (hyperbolas, circumferences, etc.), which in the presence of the above errors could not exist, but derives the point in which the mobile terminal is most plausibly located, thereby compensating for the various errors.

0062Calculation of the minimum can take place with various methods, for example with Newton's method, which is well known in mathematics and quite proven. All methods share the fact that the search for the minimum always converges to a solution and that this solution is the result of an iterative process that starts from a point (<i>x₀, y₀)</i> and that, moving in the <i>x</i>, <i>y</i> plane on a succession of points <i>(x₁, y₁),</i> ..., <i>(x_n, y_n</i>) converges to the point in which the function has a relative minimum. The iterative process stops in a point (<i>x_n</i>, <i>y_n</i>) when the absolute distance between the point itself and the previous one (<i>x_n-1</i>, <i>y_n-1</i>) is less than a certain threshold, for instance 10 m.

0063The solution described herein is extremely flexible because it is applicable when even a single radio base station is available.

0064It will be appreciated that even the - precise - determination of the location of a mobile terminal on a circumference centred around a base station constitutes a location, both in itself (insofar as it is sufficient to know which distance separates the mobile terminal from base station), and in that it can be combined to other mechanisms or information able to identify the position of the mobile terminal on a determined portion of the circumference.

0065The solution described herein is applicable to any type of measurement and to any combination of the available measurements, as it adapts on each occasion to the contingent situation of the measurement scenario.

0066In particular, the solution described herein is applicable in a three-dimensional reference system, for instance using measurements able to determine the height of the MS terminal above mean sea level.

0067In fact, in the case of a three-dimensional reference system, it is sufficient to express the PCF function for seeking a minimum value in co-ordinates x, y, z instead of in co-ordinates x, y without changing anything in the method described.

0068In this case, the iterative process will start from a point <i>x₀, y₀, z</i>₀ to converge to a solution <i>x_n, y_n, z_n</i> when the absolute distance between the point itself and the previous one <i>x_n-1, y_n-1, z_n-1</i> is smaller than a determined threshold, for example 10 m.

0069In reference to the flow chart of <figref idref="f0002">Figure 2</figref>, from the viewpoint of the locating system in the example described above, the following actions, starting from an initial step, designated as 100, are accomplished: <ul id="ul0009" list-style="dash" compact="compact"><li>the mobile terminal (or the SM supervision module, possibly upon command from an end user or a service provider U, through the IP network) invokes the locating operation (step 102);</li><li>the supervision module SM verifies through the AB module that the user that requested the locating operation is enabled for the service and requests the mobile terminal to provide the measurements whereon the locating operation is to be performed (step 104);</li><li>supposing that, based on the choice made by the SM module, either the or one of the PCFs residing at the network level has to calculate the position of the mobile terminal (and not the or one of the similar functions residing on the mobile terminal), the mobile terminal collects the basic measurements available (in this example a measure of OTD and one of TA) and, after verifying whether they are sufficient (positive outcome of a step 106) sends them to the SM module (step 108);</li><li>if the number of basic measurements obtained by the terminal is not sufficient (negative outcome of the step 106), the SM module conducts additional measurements (for instance of TOA), as indicated in the step 110,</li><li>the SM module invokes the calculation of the mobile position from the PCF function (step 112), and</li><li>the module SM processes the position of the mobile terminal adding value-added information (for instance, advertising) and sends the result to the terminal (step 114, followed by a final step designated as 116).</li></ul>

0070As stated previously, the locating request can be initiated both by the mobile terminal and by the SM module, which in turn can do so directly based on a scheduling table or on request by an outside user or a service provider connected through IP network.

0071In the first case, the mobile terminal directly conducts the measurements of the power received by the base station, the related OTD, the value of TA for the serving base station and it may request from the network the measurements of TOA (which the mobile terminal cannot take autonomously) in addition to the geographic co-ordinates of the station, for instance by means of broadcast messages according to the RRLP protocol (Radio Resource Link Protocol).

0072The PCF function on the mobile terminal estimates the position on the basis of the information received following the described methodology. The information is displayed on the mobile terminal or sent to the SM module for additional processing in order to provide the client with value added services based on the geographic position of the mobile (e.g. yellow pages, tracking, etc.).

0073If, instead, it is the module SM that invokes the locating of the mobile terminal the function PCF on the network collects the necessary data, possibly requesting the mobile terminal to provide the OTD measurements (for instance by means of the RRLP protocol) and then calculates the position of the mobile. The PCF function then returns to the mobile terminal, for instance via SMS, its position and/or other value-added information that depend on the calculated position.

0074From the above, it is evident that the locating system according to the invention can also operate in the presence of the combination of multiple errors in the space and time reference systems, such as the geo-referencing errors of the radio base stations, the synchronisation errors of the radio base stations and the errors in the measurement of the data to be used for locating purposes.

0075The system, according to the invention, can combine in wholly flexible manner a variable number of power measurements taken by the mobile terminal, of TA, of OTD and of TOA with the only limitation that at least one measurement is indispensable.

0076The system, according to the invention, thus overcomes the limitations of traditional positioning methods, based on the comparison between the received signals and those that should be received on maps prepared a priori (which, additionally, for practical reasons need to be traced using mathematical models which may introduce a difference from the actual situation) and which entail their continuous updating as the mobile radio network evolves.

0077Lastly, the system, according to the invention, is not based on the search for the intersection of geometric curves, intersection which may not exist due to space and time reference errors.

0078Naturally, without varying the principle of the invention, the implementation details and the embodiments may vary from what is described and illustrated herein, purely as examples, without thereby departing from the scope of the invention.