RU2651587C1 - Multiplicative difference-relative method for determination of coordinates of position of pulsed radio-frequency source - Google Patents

Abstract

FIELD: radio engineering and communications.

SUBSTANCE: invention relates to the field of radio engineering, namely to radio monitoring systems for determining of the pulsed radio emission sources location. Method is based on the two radio control posts signals arrival times measuring, one of which is stationary, and one or two – mobile. Based on the measured signals arrival moments, calculating the differences in the signals propagation time from the radio emission sources (RES), forming a Cayley-Menger determinant with the size of 5×5, opening it, obtaining a complete fourth order equation. Numerical solution of this equation gives the from the source to the posts distances values and on the basis of the proportional correspondence of the ratios of distances from the station to the RES and the corresponding ratios of the pulse signal delay values, all combinations of the multiplicative functions (MPF) of these ratios differences functions (FRO) are obtained. FRO MPF processing is performed by the dichotomous method or steepest descent methods. In addition to the FRO MPF, the method is based on the RES location parameters sequential determination principle: of latitude Xi and longitude Yi, by the criterion of the minimum of the FRO MPF finding of the RES location distances to the radio monitoring posts not located on one straight line, and the corresponding ratios of the signals delays values calculated from the times of the signals arrival values measured at the posts.

EFFECT: technical result is the determination of the (RFS) location spatial coordinates by the three fixed stations in a simple way without involving the position lines equations.

1 cl, 4 dwg, 1 tbl

Description

The invention relates to the field of radio engineering, and in particular to radio monitoring systems for determining the location coordinates of radio emission sources (IRI), information about which is not available in the database (for example, the state radio frequency service or the state service for monitoring communications). The invention can be used in the search for the location of unauthorized communications.

Known methods for determining the coordinates of the IRI, in which passive direction finders are used in an amount of at least three, the center of gravity of the region of intersection of the revealed azimuths of which at the wave arrival front is taken as the location estimate. The basic principles of operation of such direction finders are amplitude, phase, and interferometric [1, 2]. Widely used is the amplitude direction finding method, in which an antenna system is used that has a radiation pattern with a pronounced maximum of the main lobe and minimal rear and side lobes. Such antenna systems include, for example, log-periodic or antennas having a cardioid characteristic, etc. With the amplitude method, the position of the antenna is reached by mechanical rotation, at which the output signal has a maximum value. This direction is taken as a direction to Iran. The disadvantages of most direction finders include a high degree of complexity of antenna systems, switching devices and the presence of multi-channel radios, as well as the need for high-speed information processing systems.

The presence in the federal districts of the state radio frequency service interconnected through a central point of an extensive network of radio monitoring posts equipped with means for receiving radio signals, measuring and processing their parameters, allows you to supplement their functions and tasks of determining the coordinates of the location of those IRI, information about which is not available in the database, without resorting to the use of complex and expensive direction finders.

The known method [3], in which N, at least four stationary radio monitoring posts located on more than one straight line are used to determine the coordinates of the IRI location, one of which is taken as the base, connecting with the rest of the N-1 posts by communication lines, at all posts carry out quasi-synchronous scanning at given fixed tuning frequencies, average the measured values of signal levels at each of the scanned frequencies, and then at the base station for each of the combinations C ⁴ _N (combinations of N by 4) based on the back The proportional dependence of the relationship of the distances from the station to the source of radio emission and the corresponding difference in signal levels, expressed in dB, consists of three equations, each of which describes the circle of equal relations, using the parameters of any two pairs of which determine the current average value of the latitude and longitude of the location of the radio source. The disadvantage of this method is the large number of stationary monitoring posts.

Known methods and devices for direction finding [4, 5], which can be used for the purpose of determining coordinates.

The method [4] is based on the reception of signals by three antennas forming two pairs of measuring bases, measuring the differences in the arrival time of the IRI signals and deterministic calculations of the desired coordinates.

The disadvantages of the method include:

1) A large number of antennas.

2) The method is not focused on the use of radio monitoring posts.

3) Measuring bases for calculating the difference in the arrival times of the IRI signals by antenna pairs significantly limit the separation of these antennas, not to mention the inappropriateness and great technical complexity of the implementation of the method.

An exploded difference-range direction finder [5], consisting of two peripheral points, a central and a single time system, aims to unload the communication channel between the points. The peripheral points are intended for receiving, storing, processing signals and transmitting signal fragments to the CPU, on which the difference of the signal arrival time is calculated. The single time system uses a chronizer, which is a keeper of the current time scale (hours) tied to the single time scale, designed to bind the signal level values recorded in the memory to the reception time value.

This direction finder has the following disadvantages:

1) Not adapted to the radio control points used in the branches of the federal districts of the state radio frequency service or the state service for supervision of communications.

2) A large number of specialized direction finding (but not radio monitoring) posts.

3) Unreasonable and unrevealed (at least until the functional diagram) application of a single time system on a CPU and time clocks on a PC synchronized with a single time system.

4) The need for radio channels with high bandwidth (up to 625 Mbaud) for the transmission of even fragments of signals from PP1 and PP2 to the CPU.

5) To organize a radio channel, radio transmitting devices and obtaining permission for their operation in certain operating conditions are required.

The known differential-ranging method for determining the coordinates of the source of radio emission and the device that implements it [6].

A method based on the reception of IRI signals by four antennas forming three independent measuring bases at the separated points A, B, C, D so that the volume of the figure formed from these points is greater than zero (V _{A, B, C, D} > 0). The signal is simultaneously received at all antennas, three independent time differences Δt _AC , Δt _BC , Δt _DC of signal reception by pairs of antennas forming measuring antenna bases (AC), (BC) and (DC) are measured. From the measured time differences, the distance differences from the IRI to the pairs of points (A, C), (B, C), (D, C) are calculated for the k-th triple of antennas located at points A, B, C with k = 1, B, C, D for k = 2, D, C, A for k = 3, using the measured distance differences, calculate the angle γ _k characterizing the angular position of the IRI Ω _k , k = 1, 2, 3 relative to the corresponding measurement base, and coordinates of the point F _k, belonging to the k-th plane IRI position calculating IRI desired coordinates as the coordinates of the point of intersection of three planes IRI position Ω _{k, k} = 1, 2, 3, each I of which is characterized by the location coordinates of the points k-th antennas triples and calculated values of the angle γ _k and the coordinates of the point F _k, displaying results of calculation of IRI coordinates in a predetermined format.

This method is closer to the claimed, but also has a number of significant disadvantages:

1) The complexity of the practical implementation of the method due to the lack of the ability to measure differences in the reception times of the IRI signal only by antennas (there are no measuring radios in the block diagram).

2) The need to reduce the IRI signals from the EMD antennas spaced apart at the optimum distance to 0.6-0.7 R according to [2] at one point, which is not economically feasible to implement.

3) Two-input meters are used to measure the difference in the time of signal reception directly from the antennas.

4) The complexity of the technical implementation, due to the large number of different calculators.

5) Uncertainty in the construction of the position surface in the form of a plane perpendicular to the antenna plane, since the antennas at points A, B, C, D are not located in the same plane, as evidenced by the condition V _{A, B, C, D} > 0 in the formula invention.

Closest to the claimed is a rangefinder-differential-rangefinder method for determining the coordinates of the source of radio emission and the device that implements it [7], adopted as a prototype.

The method is based on the reception of a signal by three antennas, measuring the values of two differences in the signal reception time of the IRI antennas, measuring two values of the power flux density of the IRI signal, subsequent processing of the measurement results in order to calculate the coordinates of the point through which the Iranian position line passes.

This method involves the following operations:

- have three antennas at the vertices of the triangle ABC;

- receive a signal on all three antennas;

- measure two time differences Δt _AC and Δt _{BC of the} reception of the IRI signal by the antennas;

- measure the density of the power flux P ₁ and P _{2 the} signal at the locations of the antennas 1 and 2;

- calculate the values of the differences of the distances from the IRI to pairs of antennas using the expressions Δr _AC = CΔt _AC , Δr _BC = CΔt _BC , Δr _AB = Δr _AC -Δr _BC , where C is the propagation velocity of the electromagnetic wave;

- calculate the coordinates according to the formula obtained.

In accordance with [7], the device that implements the method includes:

- three antennas;

- two time difference meters;

- two power flux density meters;

- computing unit;

- display unit.

The prototype has the following disadvantages:

1) The practical complexity of the method due to the inability to measure differences in the reception times of the IRI signal only by antennas (there are no measuring radios in the block diagram).

2) The need to reduce the IRI signals from antennas spaced several kilometers into one point for measurement by two-input meters, which is a significant and not solved by the patent authors problem.

3) There is no possibility of using the measurement results in various combinations for their statistical processing in order to improve the accuracy of determining the coordinates of the location of the IRI.

4) It is not adapted to the equipment of radio monitoring posts (two time difference meters, two power flux density meters, a computing unit, an indication unit) are redundant, which are available in the branches of the federal districts of the RF radio frequency service, and therefore cannot be used there.

5) Two-sheeted hyperboloids of rotation corresponding to two time-difference measurements and a sphere whose parameters are determined when processing power flux-density values at the points of placement of two receiving antennas are used as IRI position surfaces. These complex nonlinear expressions give rise to coordinate determination errors. In particular, the calculation of the coordinates {x _F , y _F } of a point F belonging to the IRI bearing line using the expressions:

leads to the appearance of a singularity error (when the denominator can be close to zero).

The aim of the present invention is to develop a method for determining the coordinates of the location of the IRI, devoid of the disadvantages of the prototype of the three radio monitoring posts, which will allow to apply this method in all branches of the federal districts of the Radio Frequency Service of the Russian Federation.

This goal is achieved using the features specified in the claims, common with the prototype:

и

(сочетания по два и по три из числа сочетаний по два из М+1 измерений) мультипликативных функций (МПФ) функций разностей отношений (ФРО) расстояний и соответствующих им разностей отношений величин времени распространения сигналов до точек измерения, при этом расстояния от точек измерения до источника получают для заданных КМП ИРИ, изменяют дихотомически или методом наискорейшего спуска последовательно каждый из КМП ИРИ, при неизменных значениях другого и находят точки экстремума каждой из

МПФ и точки перегиба для

МПФ, усредняют и фиксируют каждый из КМП ИРИ, в этих точках экстремума и точках перегиба, как окончательный.1. A multiplicative difference-relative method for determining the coordinates of the location of a pulsed radio emission source (CMR IRI), based on measuring the delay time of radio emission signals at designated frequencies at several points in space by radio receivers located on more than one straight line, one of which is taken as the base, connected by communication lines with other devices and calculates the ILC CMR, characterized in that to measure the time of arrival of the signals using the pre The newly calibrated stationary radio monitoring post, as the base, and one mobile radio monitoring post, which are moved along M≥2 points of a nonlinear path, transmit the measured values of the signal arrival times to the base post, where the difference in signal arrival time is calculated, and the Cayley-Menger determinant of dimension 5X5, make up on its basis the complete fourth-degree equation for one of the unknown distances from the sought source to the post; other distances and ratios of standing, equivalent to the ratio of the values of the propagation time of the signals to the measurement points, are

and

(combinations of two and three of the number of combinations of two of M + 1 measurements) multiplicative functions (MPF) of the difference functions of the ratios (DFD) of the distances and the corresponding differences of the ratios of the values of the propagation time of the signals to the measurement points, while the distances from the measurement points to the source is obtained for the given ILCs of IRI, dichotomously changed or by the method of steepest descent, successively each of the ILCs of IRI, at constant values of the other and find the extremum points of each of

MPF and inflection points for

MPFs, average and fix each of the IMSC IRI, at these extreme points and inflection points, as the final one.

и

МПФ, представляющих сочетания, взятые по два и по три, из вычисленных

парных сочетаний (М₁+М₂+1) ФРО расстояний от точек измерения до предполагаемого местоположения ИРИ, получаемых для искомых КМП ИРИ и соответствующих им разностей отношений величин времени распространения сигналов постов, находят точки экстремумов

МПФ и точки перегиба

МПФ, усредняют и фиксируют после этого КМП ИРИ в этих точках, как окончательные.2. The multiplicative difference-relative method for determining the coordinates according to claim 1, characterized in that, in addition to the first, a second mobile radio monitoring post is used, which move independently along M ₁ ≥1 and M ₂ ≥1 points of non-linear paths,

and

MPFs representing combinations taken in two and three from calculated

paired combinations (M ₁ + M ₂ +1) DF of the distances from the measurement points to the estimated location of the IRI obtained for the required ILCs of the IRI and the corresponding differences in the ratios of the values of the propagation time of the signals of the posts, find the points of extrema

MPF and inflection points

MPFs are averaged and fixed after that by the ILC of the IRI at these points as final.

Before making measurements and calculating the coordinates of the location of the desired IRI, calibrate the meters at the posts. Calibration of the meter of the time of arrival of signals at the posts is performed using reference RES with known signal parameters and location coordinates. Each reference RES should be in the EMD zone of all three posts. The number of reference RES and distribution in the EMD zone of the posts should be sufficient to ensure the specified calibration accuracy, both in distance and azimuth relative to the posts.

Затем вычисляют парные отношения этих расстояний

,

,

. Эти отношения позволяют исключить зависимость вычисления координат местоположения от мощности ИРИ. Полученные отношения сравнивают путем вычитания с измеренными отношениями величин запаздывания времени прихода сигналов или с соответствующими им расстояниями от ИРИ до постов

,

, где r _a , r_b, r_с - фактические расстояния до постов, указанные на фиг. 4.The determination of coordinates is based on the conceptual refusal to use any complex IRI position lines, for example, parabolas, hyperbolas, Apollonius of Perga circles, Cassini ovals, rotation hyperbolloids, and others, and the use of a universal numerical method for sequentially determining IRI location parameters. It is proposed to use the multiplicative differences in the ratios of these physical quantities instead of the physical quantities themselves (distances, delays in the arrival of radio emission signals at the points of their reception). In this case, the criterion for completing the coordinate search procedure is to use the criterion of the minimum difference in the relationship of distances from the IRI location to the radio monitoring posts and the corresponding ratios of the signal propagation time values. Coordinates can be calculated using the dichotomy method, for example, the method of bitwise balancing. For its use, a priori, the ranges of D values of the sought quantities must be known. These ranges are usually known based on the parameters of the general electromagnetic accessibility zone of the three radio monitoring stations used. In accordance with the bitwise balancing algorithm, the average value from the range D is initially set to the value of the determined quantity (for example, latitude) for a fixed, but lying in the known ranges of values, longitude. Calculate the distance from the i-th location of the IRI to each j-th post,

Then the pair relations of these distances are calculated

,

,

. These relationships make it possible to eliminate the dependence of the calculation of location coordinates on the power of the IRI. The obtained relations are compared by subtracting from the measured ratios the values of the delay of the arrival time of the signals or with the corresponding distances from the IRI to the posts

,

where r _a , r _b , r _c are the actual distances to the posts indicated in FIG. four.

, где m - количество итераций. После этого фиксируют полученное значение параметра. Затем, аналогично вычисляют значение долготы при найденной широте. Минимум любой из разностей свидетельствует о нахождении местоположения ИРИ в точке с выбранными координатами. Но так как координаты ИРИ находятся на перпендикуляре к линии баз, то каждая из отдельных разностей f_abi,_ab, f_bci,bc, f_cai,ca будет иметь минимальное значение при нахождении ИРИ по обе стороны от баз. Возникает неоднозначность в определении местоположения ИРИ. Неоднозначность снимают путем нахождения экстремумов МПФ функций разностей отношений. Так как в способе рассматриваются две физические величины, то берут разности отношений расстояний от источника радиоизлучений до точек их приема и соответствующих величин времени распространения сигналов. Так как измерители величин моментов прихода сигналов расположены согласно способу на всех постах, то будут три такие разности: f_аbi,ab=(n_abi-n_ab), f_bci,bc=(n_bci-n_bc), f_cai,ca=(n_cai n_ca)For example, for posts A and B, this relationship difference function (DRO) is defined as f _{abi, ab} = (n _{a bi} -n _{a b} ). For B and C - as f _{bci, bc} = (n _bci -n _bc ), for C and Af _ca = (n _cai -n _ca ). If the difference in relationship is less than zero, then 1/4 of the range is added to the original latitude value. Otherwise, 1/4 of the range of its value is subtracted from the original latitude value. Then again calculate the distances to the posts and evaluate the results of the comparison, as described above. In this case, 1/8 of the range is added (or subtracted), then 1/16 of the range, etc. Such iterations continue until the result of the comparison is in absolute value less than a predetermined value of the sampling error of each location parameter

where m is the number of iterations. After that, the obtained parameter value is fixed. Then, similarly calculate the value of longitude at the found latitude. The minimum of any of the differences indicates the location of the IRI at the point with the selected coordinates. But since the coordinates of the IRI are perpendicular to the base line, each of the individual differences f _abi , _ab , f _{bci, bc} , f _{cai, ca} will have a minimum value when the IRI is located on both sides of the bases. There is ambiguity in determining the location of the IRI. The ambiguity is removed by finding the extrema of the MPF of the functions of the difference of relations. Since the method considers two physical quantities, they take the differences in the ratios of the distances from the source of radio emissions to the points of their reception and the corresponding values of the propagation time of the signals. Since the meters of the moments of arrival of signals are located according to the method at all posts, there will be three such differences: f _{abi, ab} = (n _abi -n _ab ), f _{bci, bc} = (n _bci -n _bc ), f _{cai, ca} = (n _cai n _ca )

. Пример МПФ, включающих три разности отношений функций: F_3abc=f_abi,abf_bci,bcf_aci,ac. Общее число таких функций равно

. На фиг. 1 показаны ФРО для трех типов разностей отношений, на фиг. 2 - три МПФ, фиг. 3 - МПФ трех разностей отношений. По отметкам времени прихода сигналов ИРИ на синхронизированные сигналами эталонных РЭС измерители моментов времени прихода [8] всех трех постов на ведущем посту вычисляются разности времени запаздывания сигналов искомого РЭС

,

,

. Выражая время запаздывания прихода сигналов Т_с, Т_b, Т_а через соответствующие проходимые сигналами расстояния, получим

,

,

или в другом виде:

, где С - скорость распространения электромагнитной волны.Based on these three types of IDFs, to uniquely determine the coordinates of the location of the IRI, MPFs are made up of two or three difference relations. Examples of MPFs including two difference of relations: F _2abc = f _{abi, ab} f _{bci, bc} , F _2abc = f _{aci, ac} f _{bci, bc} . The total number of such functions is

. An example of an MPF including three differences in the relations of functions: F _3abc = f _{abi, ab} f _{bci, bc} f _{aci, ac} . The total number of such functions is

. In FIG. 1 shows the TSF for three types of difference of relations, in FIG. 2 - three MPFs; FIG. 3 - MPF of three differences in relations. From the timestamps of the arrival of IRI signals to the synchronized signals of the reference RES, the measuring instruments of the moments of time of arrival [8] of all three posts at the leading post calculate the difference in the delay time of the signals of the desired RES

,

,

. Expressing the time delay of arrival of the signals T _s , T _b , T _a through the corresponding distances traveled by the signals, we obtain

,

,

or in another form:

where C is the propagation velocity of the electromagnetic wave.

From the obtained relations we express the distances: r _a and r _{b in} terms of r _c (other substitutions can be made): r _a = r _c + Δr _ca , r _b = r _c -Δr _bc.

To calculate the unknown distance r _{c, they} compose and open the Cayley-Menger determinant of 5 × 5 dimension, which is one greater than the number of vertices of the volume of the four-vertex simplex figure described in FIG. 4. Since the projection volume of this figure onto the plane is zero, the Cayley-Menger determinant in accordance with [9] is represented as:

In this determinant, in accordance with the explanatory FIG. 4 through a, b and c marked base (distance between posts). Opening the determinant, we obtain:

The determinant (1), taking into account the introduced ratios of the distances r _a and r _b, will represent the complete 4th degree equation with respect to the unknown distance r _s , having the form:

, где:

where:

B = 3c ² Δr _b +2 ( a ² -b ² + c ² ) (Δr _a + Δr _b + 2Δr _a Δr _b ),

Equation (2) with respect to r _{c is} solved numerically. After that, the distances r _a and r _{b are also found} . And then they determine the relations of these distances, compose and solve the multiplicative functions of the differences of relations. As a result of solving the latter and averaging, the desired coordinates of the Iranian location are obtained. The method involves the following operations:

1) Calibrate the meter of the delay value of arrival at the signal posts using an array of reference RES with known signal parameters and location coordinates. Each reference RES should be in the EMD zone of all three posts. The number of reference RES and the distribution in the area of EMD posts should be sufficient to ensure a given calibration accuracy.

2) At each station, the values of the moments of arrival of the IRI signals are measured using an appropriate meter using non-directional antennas of the station, while tuning the receiver to the given fixed frequencies. The results are entered into the database of your computer.

3) Information received in paragraphs. 1 and 2, are sent over the communication channel of the communication device from the post of the slave computer to the master.

four). Compose a Cayley-Menger determinant of dimension 5 × 5.

5) Disclose the Cayley-Menger determinant, while obtaining the complete equation of the fourth degree,

6) Using a numerical method, one distance is determined from the complete fourth-degree equation, and then other distances, and then the magnitudes and ratios of the delay times of the arrival times of signals from the IRI, obtained based on the measured times of arrival times of the signals from the meters [8].

парных произведений разностей отношений расстояний постов радиоконтроля до местоположения источника радиоизлучения, соответствующих отношениям величин запаздывания времени прихода сигналов источника, эквивалентных расстояниям от искомого источника радиоизлучения до соответствующего поста, и еще составляют

МПФ ФРО тех же расстояний и отношений величин запаздывания времени прихода сигналов, взятых по три.7) Make up

paired products of the differences in the ratios of the distances of the radio monitoring posts to the location of the source of radio emission, corresponding to the ratios of the delays in the time of arrival of the source signals, equivalent to the distances from the desired source of radio emission to the corresponding station, and still comprise

MPF FRO of the same distances and ratios of the delay values of the arrival time of signals taken in three.

парных мультипликативных функций и

мультипликативных функций разностей отношений тех же расстояний, и отношений величин запаздывания времени прихода сигналов, взятых по три.8) In the second embodiment of the method comprise

paired multiplicative functions and

multiplicative functions of the differences of the ratios of the same distances, and the ratios of the delay values of the arrival time of signals taken in three.

9) The latitude and longitude of the IRI location corresponding to the points of extrema, as well as the inflection points of all the multiplicative functions compiled in paragraph 8, are calculated in a dichotomous manner or by the method of steepest descent, fixing after averaging each sought source location parameter at these points as final.

In the second embodiment, with two mobile posts, which are a significant difference from the first option, a new technical result is achieved, consisting in reducing the time for measurements, thereby increasing the speed of the method, as well as in increasing the number of statistics, leading to an increase in the accuracy of determining the coordinates of the location of the desired IRI. Below is a table of the relative increase in statistics (in times) under the assumption that M ₁ = M ₂ = M for a different number of M measurement points by mobile posts.

The table shows:

1) the first option gives an increase in statistics compared to the prototype by 35 times, and the second - 1540 times,

2) the second variant of the method with the same number of measurement points (displacement points) increases the statistics compared to the first on average 50 times.

In the proposed method, the disadvantages of the prototype are eliminated:

1) Any complex equations of the IRI location lines with hidden singularity errors hidden in them are excluded. In the proposed method, the multiplicative functions of the differences in the ratios of the final values (distances and delay values of the arrival of signals) are smooth and do not create singular errors.

2) The determination of the coordinates of the location of the IRI is carried out by radio monitoring posts, and not by means far from their practical implementation.

3) The method in connection with the use of multiplicative functions provides the ability to use the measurement results in various combinations, which improves the accuracy of determining the coordinates.

4) The use of two mobile posts not only improves performance, but also increases statistics compared to one post by about 50 times, which improves the accuracy of determining the coordinates of the location of the IRI.

The method is more versatile in comparison with the known, easily implemented and devoid of the disadvantages of the prototype. Distinctive features of the method are not identified either in analogues or in the prototype, which indicates the presence in the proposed invention of signs of novelty and the corresponding level of inventiveness.

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Claims (2)

1. A multiplicative difference-relative method for determining the coordinates of the location of a pulsed radio emission source (CMR IRI), based on measuring the delay time of radio emission signals at designated frequencies at several points in space by radio receivers located on more than one straight line, one of which is taken as the base, connected by communication lines with other devices and calculates the ILC CMR, characterized in that to measure the time of arrival of the signals using the pre The newly calibrated stationary radio monitoring post, as the base, and one mobile radio monitoring post, which are moved along M≥2 points of a nonlinear path, transmit the measured values of the signal arrival times to the base post, where the difference in signal arrival time is calculated, and the Cayley-Menger determinant of dimension 5 × 5, make on its basis a complete fourth-degree equation with respect to one of the unknown distances from the desired source to the post, other distances and ratios are calculated from it distances, equivalent ratio of the magnitude of signal propagation time to the measurement points constitute

and

(combinations of two and three of the number of combinations of two of M + 1 measurements) multiplicative functions (MPF) of the difference functions of the ratios (DFD) of the distances and the corresponding differences of the ratios of the values of the propagation time of the signals to the measurement points, while the distances from the measurement points to the source is obtained for the given ILCs of IRI, dichotomously changed or by the method of steepest descent, successively each of the ILCs of IRI, at constant values of the other and find the extremum points of each of

MPF and inflection points for

MPFs, average and fix each of the IMSC IRI, at these extreme points and inflection points, as the final one. 2. The multiplicative difference-relative method for determining the coordinates according to claim 1, characterized in that, in addition to the first, a second mobile radio monitoring post is used, which move independently along M ₁ ≥1 and M ₂ ≥1 points of non-linear paths,

and

MPFs representing combinations taken in two and three from calculated

paired combinations (M ₁ + M ₂ +1) DF of the distances from the measurement points to the estimated location of the IRI obtained for the required ILCs of the IRI and the corresponding differences in the ratios of the values of the propagation time of the signals of the posts, find the points of extrema

MPF and inflection points

MPFs are averaged and fixed after that by the ILC of the IRI at these points as final.

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