WO2015012743A1 - Radio system - Google Patents

Abstract

The system makes it possible to determine the spatial coordinates of a stationary or movable radio object (RO), including in air navigation, receiving radio signals (r/s). For this, the radio system (RS) comprises a terrestrial point r/s transmitting system with N ≥ 5 r/s transmitting points (TP) which are numbered in order, the coordinates of the phase centers (PC) of the antennas of which are known for the RO. The TP are capable of synchronized, ordered transmission of r/s by series, if necessary with set individual features and with set time delays between r/s, which ensure that the r/s arrive at the RO, which is located at any point in the service area, in the correct order and which are known for the RO. Each RO comprises, functionally associated with one another, an r/s receiving device, which is capable of receiving and identifying r/s by means of a corresponding TP, and a recording device for recording the moments in time of reception of said r/s in a time-keeping system set on the RO, and an information system (IS), which is capable of receiving r/s in series in accordance with said coordinates and moments in time, if necessary taking into consideration said set time delays between r/s, and measurement of the coordinates of the PC of the antenna of the RO according to proposed measurement formulae. The IS is capable of measuring other trajectory characteristics of the RO via coordinates measured in series of the RO, including using statistical methods of trajectory measurements. Moreover, the RS is provided with the possibility of making the measured coordinates of the RO more accurate. The RS does not require joint synchronization of all of the r/s transmitting and receiving radio objects, makes it possible to determine the coordinates with a quick response given a large number of ROs and can be realized with the aid of a modern integrated circuit and microprocessor technology.

Description

 W

Title of invention:

 Radio system

 Technical field

 The invention relates to communication technology, and more particularly, to radio engineering systems for transmitting and receiving radio signals and extracting information. Such systems include, in particular, radio navigation and radar systems, radio reconnaissance systems for radio equipment, radio surveillance of the Earth's surface, etc. [Radio engineering systems / U.M. azarinov and others. Ed. Yu.M. Kazarinova. -M: Information Center "Academy", 2008, p. 7]. The inventive system contains a radio signal receiving radio engineering objects, stationary or mobile, and a ground-based point transmitting radio signal system, including an orderly numbered radio signal transmitting points, at least five, the coordinates of the phase centers of the antennas of which are known on the radio signal receiving radio signals objects. The implementation of the system will make it possible, among other things, to determine the spatial coordinates of the indicated radio engineering objects, simplify the corresponding information extraction systems, and increase their technical and economic efficiency, taking into account all the components that affect the cost and technical indicators.

BACKGROUND OF THE INVENTION Known radio engineering systems for transmitting and receiving radio signals and extracting information are used, inter alia, to determine the coordinates of radio engineering objects and are based on the use of goniometric, rangefinder, difference and total-rangefinder and combined methods for determining the location of an object with amplitude, temporary - mi, frequency, phase and pulse-phase methods for measuring the parameters of the radio signal [RF Patents jY2.N0 2018855, 21 15137, 2258242, 2264598, 2309420, 2325666, 23631 17, 2371737, 2378660; Fundamentals of testing aircraft / E.I. Krynetsky et al. Ed. E.I. Krinetskogo.-M .: Mashinostr., 1979, p. 64-89; Radio engineering systems / Yu.M. Kazarinov et al. Ed. Yu.M. Kazarinova. -M .: IC "Academy", 2008, p.17-18, pp. 7.1-7.4, ch. 10.; Melnikov Yu.P., Popov SV. Radio intelligence. Methods for assessing the effectiveness of the determination of radiation sources. - M .; Radio Engineering, 2008, Ch. 5]. Known systems have one or another disadvantage, for example, the need for mechanical movement of the antenna system, the impossibility of unambiguous determination of the coordinates of the object, the need for a priori information about the location of the object, the need for general synchronization of radio-technical objects transmitting and receiving radio signals, and insufficient reliability. According to the criterion of minimum sufficiency, the closest is the system for transmitting and receiving radio signals and extracting information according to patent RU N ° 2453996.

 Disclosure of invention

An advantage of the claimed system compared to the known ones is the possibility of increasing the technical and economic efficiency of radio engineering complexes for measuring spatial coordinates and other characteristics of an object functionally related to its coordinates, including ensuring the accuracy and reliability of their measurement in accordance with with modern requirements. This is achieved by the fact that the claimed system, in particular, does not require general synchronization of the set of transmitting and receiving radio signals of radio engineering objects. Also, the inventive system allows you to determine the spatial coordinates through indirect measurement using simple expressions, depending on the measured moments of the times of receiving radio signals at a radio receiving object radio engineering object. Thanks to this, the unambiguous determination of spatial coordinates is simplified.

To achieve the specified technical result in accordance with the present invention, the radio engineering system comprises a ground-based point transmitting radio signals system and receiving radio signals radio engineering objects, stationary or mobile, while the specified ground-based point transmitting radio signals system includes orderly numbered transmitting radio signals points, in the amount of N He is less than five, each of them contains antenna devices, the phase centers of the transmitting antennas of which are set Not raspolo- conjugated in the same plane, and known, including said objective minute, at coordinates _{X n, Y n, Z n} , where index n varies from 1 to Ν, Correspondingly, in a predetermined three-dimensional Cartesian coordinate system (Χ, Υ, Ζ), and transmitting radio signals of the device connected to the antenna devices, capable of synchronized orderly transmission of radio signals by series, mainly one radio signal from each point transmitting radio signals in a series, with specified not necessarily identical inter between series, if necessary, the indicated transmitting radio signals of the device are made with the possibility of transmitting radio signals with predetermined individual characteristics, including complex and composite radio signals with specified individual characteristics of their elements and the possibility of their separation at reception, and if necessary, with specified not necessarily the same, and known on the mentioned receiving radio signals radio engineering objects time delays between the radio signals, and each receiving radio signals p diotehnichesky object comprises antenna device sub- a radio signal receiving device connected thereto, configured to receive radio signals from a ground-based point transmitting radio signal of the system and identify them to the corresponding radio signal transmitting points, a time recorder for receiving radio signals from said radio signal transmitting points in a time reference system set at the radio receiving radio signal, connected to a device receiving radio signals, and an information system functionally connected to the recorder and you olnennuyu to store the predetermined coordinates _{X n, Y n, Z n} , indicated associated predetermined delay times, if necessary, and the parameters a, from the area dimension, where the index / goes from 1 to 6, defined che Res Χ _η, Υ _η , Ζ _η in accordance with the expressions

and with the possibility, if necessary, of centering the indicated times of the reception of radio signals, including, if necessary, with the indicated delay times excluded, by eliminating from each moment of time the average value of all the moments of the series and determining thus recorded moments of time t _n , the indicated information system is also capable of measuring parameters d _n with length dimension d _n = vt _n , where υ is the propagation speed of the radio signal, measuring parameters c _j with the area, where the index j varies from 1 to 4, through the mentioned X _n , Y _n , Z _n and the measured parameters d _n in accordance with the measurement equations

with the ability to measure the parameters of AC _to , where the index k varies from 1 to

6, through the parameters a and c, in accordance with the measurement equations

AC = a _x a ₂ a ₃ s ₄ , (3)

AC ₂ - 2 {a a _b s ₂ s ₃ + a ₂ a ₅ s _x s ₃ + ₃ a ₄ s _x s ₂ + a ₄ a ₅ a ₆ s ₄ ),

AC ₄ = 2 {a ₄ a _b s ₂ s ₃ + a ₄ a ₆ s _x s ₃ + ₅ a ₆ s _x s ₂ ),

AC ₅ = a a ₂ s _b + a _x a ₃ s ₂ + a ₂ a ₃ s _x + (g _x a ₆ + + a ₂ a ₅ + a ₃ a ₄ ) s ₄ ,

AC ₆ = AC _X + AC ₂ + AC _g - AC ₄ - AC ₅ ,

and with the possibility of measuring the parameters b, where the index / varies from 1 to 4, through the coordinates X _n , Y _n , Z _{n the} measured parameters d in accordance with the measurement equations

where D _n = jx _n ² + Y „ ² + Z„ ² are the distances from the origin of the coordinate system to the phase centers of the antennas of the antenna devices of the ground-based point transmitting radio signals system, in addition, the information system is configured to measure the parameters BX _m , BY _m , BZ _m , where the index m varies from 1 to 4, through the parameters a, and c, in accordance with the measurement equations

BX _X = a ₂ a ₃ s ₄ + 2 a ₆ s ₂ s ₃ - a ₂ s ₃ - a ₃ s \ - s ₄ ^,

+ а₅а₆с₄ - а_{3 4}с₄ - а₅с₂с₃ - а₆с_хс₃ , BX = BX ₂ = a ₃ s _x s ₂ +

+ a ₅ a ₆ s ₄ - a _{3 4} s ₄ - a ₅ s ₂ s ₃ - a ₆ s _x s ₃ , Bx =

BX =

ΒΥ = a ₃ s _x s ₂ + a ₄ s ₃ + a ₅ a ₆ s _{4-a 3} a ₄ s _{4-a 5} s ₂ s ₃ - a ₆ s _x s ₃ ,

ΒΥ ₂ = a _x a ₃ s ₄ + 2 a _b s _x s _b s ₄ a],

₄ - я₄с,с₃ - а₅с,с₂ , BY ₃ = a s ₂ s ₃ + a ₄ a ₅ s _l +

₄ - ₄ s, s ₃ - a ₅ s, s ₂ ,

ΒΥ ₄ = (а ₃ а ₄ - а ₅ о ₆ ) с, + (а] - а а ₃ ) с ₂ + (а а ₆ - ₄ а ₅ ) с ₃ ,

ΒΖ = a ₂ s _x s ₃ + a ₄ a ₆ s ₄ + a s] - a ₂ a _b s ₄ - a ₄ s ₂ s ₃ - a ₆ c _t c ₂ ,

BZ ₂ = a _x s ₂ s ₃ + ₄ a _b s ₄ + a _b s - a _{6 s ₄ - a ₄ s, s ₃ - ₅ s, s ₂ ,

BZ ₃ = a _] a ₂ s ₄ + 2a ₄ s _x s ₂ -

BZ ₄ = (a ₂ a ₅ - a ₄ a ₆ ) s, + (cr, a ₆ - a ₄ a) s ₂ + {a] - i, and ₂ ) s ₃ ,

and with the ability to measure the spatial coordinates of the phase center of the antenna of the antenna device of the receiving radio object primarily in accordance with the measurement equations

x = {BX, b + BX ₂ b ₂ + BX ₃ b ₃ + BX ₄ b ₄ ) / AC ₆ ,

y = (BY, b + BY ₂ b ₂ + BY ₃ b + BY ₄ b ₄ ) / AC _t b '(6) z = + BZ ₂ b ₂ + BZ ₃ b + BZ ₄ b ₄ ) / AC ₆ ,

also, if necessary, the information system is made with the possibility of storing the x, y, z coordinates measured in a series of specified coordinates, measuring through them other trajectory characteristics of the receiving radio signals of a radio engineering object, including using statistical methods of trajectory measurements, this receiving radio signals, the radio object, if necessary, contains a display unit and a unit for transmitting information to consumers, functionally associated with the specified information system, my point radio transmission signal system, if necessary, contains an information reception and display unit adapted to receive information transmitted by said information transmission unit to consumers of a radio signal receiving radio object, in addition, if necessary, to a ground point radio transmission signal station introduced a control receiving radio signals radio engineering object, made with the possibility of receiving radio signals transmitted by the aforementioned points of a ground-based point transmitting radio signal system, with the coordinates of the phase center of its antenna x _K , y _K , z _K specified in the specified three-dimensional Cartesian coordinate system (Χ, Υ, Ζ), the constituent elements of which are made mainly identical to the constituent elements of said radio signal receiving radio signal object, while the information system of said radio control object is additionally configured the correction of the indicated measured coordinates x, y, z from the known coordinates x _K , y _K , z _K and the measured coordinates _ra ,> _m , z _{ra of the} phase center of the receiving antenna of the monitoring radio signal receiving radio object, also the ground-based point transmitting radio signals the system contains a subsystem for controlling its operation.

 In the current level of technology, no sources of information have been identified that would contain information about systems of the same purpose with the indicated set of features.

 The implementation of the invention

 Below the invention is described in more detail with reference to the figure.

The figure shows the inventive system. The radio engineering system 1 contains a ground-based point transmitting radio signals system (PS) 2 and receiving radio signals (r / s) radio engineering object (RO) 3. In this case, the PS 2 includes the orderly numbered transmitting r / s points 4 (N ° N ° \, 2, ..., n, ..., N) in the amount of N at least five. Each of them contains antenna devices 5, the phase centers of the transmitting antennas of which are in predetermined, not located in the same plane, and known, including at the mentioned objects, points with coordinates X _n , Y _n , Z _n , where Dex n varies from 1 to Ν, respectively, in a given three-dimensional decar- coordinate system (X, Υ, Z). Radio antenna devices 5 are connected to antenna devices 5.

 Devices 6 are made with the possibility of synchronized ordered transmission of p / s in series, mainly one p / s from each transmitting p / s point 4 in the series, and with specified not necessarily the same intervals between the series. If necessary, the device 6 is made with the possibility of transmitting r / s with predetermined individual characteristics, including complex and composite r / s with predetermined individual attributes of their elements [L. Varakin. Theory of signal systems. M., "Owls. radio ”, 1978, p.18] and the possibility of their separation at reception. Also, if necessary, the device 6 is configured to transmit r / s with predetermined, not necessarily the same, and known time delays between the received r / s PO 3 received between p / s.

Each receiving r / s PO 3 contains an antenna device 7 and a receiving r / s device 8 connected to it. The latter is configured to receive the r / s of the ground PS 2 and identify them with the corresponding transmitting r / s points 4. PO 3 contains a recorder of 9 times of receiving r / s from transmitting r / s points 4 in the time reference system set for PO 3. The registrar 9 is connected to the receiving r / s device 8. The PO 3 contains an information system 10 functionally connected to the registrar 9 and configured to store the specified coordinates X _n , Y _n , Z _n , the specified delay times, if necessary, and the parameter - ditch a determined in accordance with expressions (1). The information system 10 is also capable of centering, if necessary, the indicated moments of the reception time p / s, including, if necessary, with the excluded specified delay times, and determining the thus recorded moments of time t _n and measuring I mention parameters d _n , measurements of the mentioned parameters c _} , AC _k , b, BX _m , BY _m , BZ _m in accordance with the measurement equations (2), (3), (4) and (5).

In addition, the information system 10 is configured to measure the spatial coordinates of the phase center of the antenna of the antenna device 7 receiving the radio receiver PO 3 mainly in accordance with the measurement equations (6).

 If necessary, information system (10) is made with the possibility of storing χ, γ, ζ measured in series of the indicated coordinates, measuring other path characteristics of PO 3 through them, including using statistical methods of path measurements. Moreover, PO 3, if necessary, contains a display unit 11 and an information transmission unit to consumers 12, functionally associated with the information system 10. PS 2, if necessary, contains an information reception and display unit 13 configured to receive information transmitted by said transmission unit information to consumers 12 RO 3.

In addition, if necessary, in PS 2, a control receiving radio electronic object (RRO) 14 is introduced, configured to receive radio signals transmitted by points 4 with the coordinates specified in the indicated three-dimensional Cartesian coordinate system (Χ, Υ, Ζ) the phase center of its antenna x _K , y _K , z _K , the constituent elements of which are made mostly identical to the constituent elements of PO 3. Moreover, the information system 10 of the KPO 14 is additionally configured to correct the specified measured coordinates x, y, z by known coordinates x _K y _K , z _K and the measured coordinates x _KU , y _KU , z _{KU of the} phase center of the receiving antenna CRO 14. Also, the MS 2 contains a subsystem 15 for controlling its operation.

The proposed system 1 operates as follows. Substation 2 transmits r / s synchronized. In this case, the r / s are transmitted in order by series, mainly one r / s from each transmitting r / s point 4 containing the antenna device 5 and the transmitting r / s device 6, in a series. The intervals between series are not necessarily the same. If necessary, transmitting r / s points 4 transmit r / s with predetermined individual characteristics, including complex and composite r / s with predetermined individual characteristics of their elements and the possibility of their separation during reception. Also, if necessary, p / s are transmitted with predetermined, not necessarily the same, and known by PO 3 time delays between p / s.

The radio signals are received on a specific PO 3 and identified by their respective transmitting p / s points 4. At this object, the registrar 9 records the times of receiving p / s in the time reference system set on it. If necessary, the information system 10 excludes the corresponding specified delay times from them. In it, the indicated moments of p / s reception times with excluded delay times are, if necessary, centered by eliminating from each moment of time the average value of all moments of the series. Based on the thus recorded time instants t _n, said parameters d _n are measured. In the information system 10 PO 3, through the indicated coordinates X _n , Y _n , Z _n determine (for a particular PS 2 once) the parameters i ,, in accordance with expressions (1). Through the mentioned Χ _η , Υ _η , Ζ _η and the measured parameters d _n, the parameters c _j are measured in accordance with the measurement equations (2). Through the parameters a _t and c, measure the parameters AC _to in accordance with the measurement equations (3). In addition, through the aforementioned X _n , Y _n , Z _n and through the measured parameters ^ „the parameters b are measured, in accordance with the equation measurements (4). Using parameters a and c _j, the parameters BX _m , BY _m , BZ _m are measured in accordance with the measurement equations (5). And finally, the spatial coordinates x, y, z of the phase center of the receiving antenna PO 3 are measured mainly in accordance with the measurement equations (6). If necessary, the series and all the indicated actions in them are repeated and other trajectory characteristics of this object are measured using the x, y, z PO 3 coordinates measured in the series, including using statistical methods of trajectory measurements. If necessary, this information is displayed and transmitted to consumers in blocks 11 and 12, respectively. If necessary, the information transmitted to consumers is received and displayed in block 13 on PS 2.

In addition, if necessary, r / s PS 2 is also received at KRO 14 with the coordinates of the phase center of its receiving antenna x _k , y _k , ζ _κ specified in the indicated three-dimensional Cartesian coordinate system (X, Y, Z). At the same time, at KRO, 14 r / s are taken mainly identically to the reception of r / s at PO 3. Coordinates x _m , y _m , z _{m of the} phase center of the receiving antenna of KRO

14 are measured identically to the indicated measurement of the coordinates of PO 3. Then, the measured coordinates x, y, z PO 3 are corrected for the known coordinates x _K , y _K , z _K and the measured coordinates x _KU , y _KU , z _{KU of the} phase center of the receiving antenna KPO 14 .

 Industrial applicability

 We list the main advantages of the system:

- provides an unambiguous determination of the spatial coordinates of the object with great accuracy that meets modern requirements, - does not require general synchronization of the set of transmitting and receiving radio signals of radio engineering objects, - provides the ability to make measurements using one of the known radio engineering methods and the existing elemental base and microprocessor technology,

 - the implementation of the system is simpler and cheaper than well-known analogues,

- spatial coordinates are determined by indirect measurement using simple expressions,

 - allows simultaneous measurements on an unlimited number of radio engineering objects.

 The effectiveness and efficiency of using the claimed system lies in the fact that it can be applied in practice for the development and improvement of radio engineering systems for determining, mainly, the coordinates of objects, as well as in other applications. Thus, the claimed system provides the emergence of new properties. The analysis made it possible to establish: there are no systems with a set of features identical to all the features of the claimed technical solution. Also, the popularity of the influence of the actions provided for by the essential features of the claimed invention on the achievement of the specified result was not revealed. Therefore, the claimed invention meets the patentability condition “inventive step”.

Claims

Claim A radio engineering system comprising a ground-based point transmitting radio signal system and receiving radio signals radio engineering objects, stationary or mobile, wherein said ground-based point transmitting radio signal system includes orderly numbered radio signal transmitting points in an amount of N He of less than five, each of them contains antenna devices, the phase centers of the transmitting antennas of which are in predetermined, not located in the same plane, and known, including on the mentioned objects, kax with coordinates X _n , Y _n , Z _n , where the index n varies from 1 to N, respectively, in a given three-dimensional Cartesian coordinate system (Χ, Υ, Ζ), and transmitting radio signals of the device connected to antenna devices, made with the possibility of synchronized ordered transmission of radio signals in series, mainly on one radio signal from each point transmitting radio signals in a series, with specified not necessarily the same intervals between series, if necessary, said radio transmitting devices They are capable of transmitting radio signals with specified individual characteristics, including complex and composite radio signals with specified individual characteristics of their elements and the possibility of their separation when receiving, and if necessary, with specified, not necessarily the same, and known on the mentioned radio signals receiving radio signals by time delays between radio signals, and each radio signal receiving radio signals contains an antenna device connected to it receiving diosignaly device configured with the possibility of receiving terrestrial radio transmitting punktovoy radiosig- Nala system and identifying the corresponding transmitting radio signals to points, a time recorder for receiving radio signals from said points transmitting radio signals in a time reference system set up at a radio signal receiving unit and connected to a device receiving radio signals, and an information system operably connected to the recorder and configured to store said predetermined coordinates X _n , Y _n , Z _n , the specified specified delay times, if necessary, and the parameters a _t with the area dimension where the index / 'varies from 1 to 6, is determined defined by X _n , Y _n , Z _n in accordance with the expressions a ₄

and with the possibility, if necessary, of centering the indicated times of the reception of radio signals, including, if necessary, with the indicated delay times excluded, by eliminating from each moment of time the average value of all the moments of the series and determining thus recorded moments of time t _n , the indicated information system is also capable of measuring parameters d _n with length dimension d _n = vt _n , where υ is the propagation speed of the radio signal, measuring parameters c _j with the area, where the index j varies from 1 to 4, through the above X _n , Y _n> Z _n and the measured parameters d _n in accordance with the measurement equations

with the ability to measure AC parameters _k , where the index k varies from 1 to 6, through the parameters a and c, in accordance with the measurement equations AC _X = a _x a ₂ a ₃ s ₄ , AC ₂ = 2 ( _x a ₆ s ₂ s ₃ + a ₂ a ₅ ss ₃ + a ₃ a _l s _x s ₂ + a ₄ a ₅ a ₆ s ₄ ),

AC ₄ = 2 (a ₄ a ₅ s ₂ s ₃ + a ₄ a ₆ ss ₃ + a ₅ a ₆ s _x s ₂ ), AC ₅ =

+ + a ₂ a + a ₃ a]) c ₄ , AC _b = AC + AC ₂ + AC ₃ - AC, - AC _b , and with the possibility of measuring the parameters b, where the index / varies from 1 to 4, through the coordinates X _n , Y _n , Z _{n the} measured parameters <A in accordance with the measurement equations

 Ν ΝΝ ΝΝ ΝΝ ΝΝ Ν b ₂ = ΝΣ ° -Σ Σ ^γ _η ⁺ Σ ^ά 'Σ ^γ η- ^Ν Σ ^γ η / 2, u = 1 l = 1 n = 1 n = \ n = u = 1

N N 15 ^Ν Σ ^ Λ-Σ n = \ ^ Σ l = 1 ⁺ Σ l = 1 ^ Σ l = 1 ^ - ^Ν Σ l = 1 ^ 12,  n = \ where D „= ^ X _n ² + 7„ ² + 2 are the distances from the origin of the coordinate system to the phase centers of the antennas of the antenna devices of the ground-based point transmitting radio signals system, in addition, the information system is configured to measure the parameters BX _m , BY _m , BZ _m , where the index m varies from 1 to 4, through the parameters q, and c in accordance with the measurement equations BX = a _{2 3} c _i + 2a ₆ s ₂ s ₃ -a ₂ s ₃

-s ₄ a BX ₂ = a ₃ c _x c ₂ + a ₄ c] + a ₅ a ₆ c ₄ - a ₃ a ₄ c ₄ - a ₅ c ₂ c ₃ - a ₆ c _x c ₃ , BX ₃ = a ₂ c _x c ₃ + a ₄ a ₆ c ₄ +

- a ₂ a ₅ c ₄ - a ₄ c ₂ c ₃ - a ₆ c _x c ₂ , = (al - a ₂ a ₃ ) c _x + (a ₃ a ₄ - a ₅ a ₆ ) c ₂ + (a ₂ a ₅ - a _A a ₆ ) c ₃ , BY _l = I ₃ s, s ₂ + a ₄ c] + a ₅ a ₆ c ₄ - a ₃ a ₄ c ₄ - a ₅ c ₂ c ₃ - a ₆ c, c ₃ , BY ₂ = aac ₄ + 2o ₅ s, c ₃ - o, c ₃ - o ₃ s, ² - s ₄ a ₅ ² , 5F ₃ = a _x c ₂ c ₃ + _{4 5} c ₄ + a _b c] - a _x a _b c ₄ - ₄ c _x c ₃ - a _s c _x c ₂ , BY ₄ = (a ₃ a ₄ - a ₅ a ₆ ) c _x + (a ₅ ² - o, o ₃ ) c ₂ + (a _x a ₆ - a ₄ a ₅ ) c ₃ , BZ _X = a ₂ cc ₃ + a ₄ a ₆ c ₄ +

- a ₂ a ₅ c ₄ - a ₄ c ₂ c ₃ - a ₆ c _x c ₂ , BZ ₂ = ac ₂ c ₃ + a ₄ a ₅ c ₄ + a ₆ c _x - a _x a ₆ c ₄ - a ₄ cc ₃ - a ₅ c _x c ₂ , BZ ₃ = a _x a ₂ c ₄ + 2a ₄ c _x c ₂ -

, BZ ₄ = (a ₂ a _s - a ₄ a ₆ ) c _x + (a _x a ₆ - a ₄ a) c ₂ + [a] - a _x a ₂ ) c ₃ ,  and with the ability to measure the spatial coordinates of the phase center of the antenna of the antenna device of the receiving radio object primarily in accordance with the measurement equations x = (BX _X b _X + BX ₂ b ₂ + BX ₃ b ₃ + BX ₄ b ₄ ) / AC ₆ , y = (BY _x b _x + BY ₂ b ₂ + BY ₃ b ₃ + BY ₄ b ₄ ) / AC ₆ , z = (BZ b + BZ ₂ b ₂ + BZ ₃ b ₃ + BZ ₄ b ₄ ) / AC ₆ , also, if necessary, the information system is made with the possibility of storing χ, γ, ζ measured in series of the indicated coordinates, measuring through them other trajectory characteristics of the receiving radio signals of a radio engineering object, including using statistical methods of trajectory measurements, wherein the radio signal receiving radio object, if necessary, contains a display unit and a unit for transmitting information to consumers, functionally associated with the specified information system, while emnaya punktovaya schaya the transmitting radio signals when required, the system comprises a receiving and oto- information digest, configured to receive information transmitted by the indicated information transmission unit to consumers of a radio signal receiving object, in addition, if necessary, a control radio signal receiving object made to receive radio signals is included in the ground-based point transmitting radio signal, the system transmitted by the said points of the ground-based point transmitting radio signal system, with the coordinates specified in the specified three-dimensional Cartesian system the dynat (Χ, Υ, координ) with the coordinates of the phase center of its antenna x _K , y _K , z _K , the constituent elements of which are made essentially identical to the constituent elements of the aforementioned radio signal receiving radio engineering object, while the information system of the said radio control object is additionally configured correction of the indicated measured coordinates x, y, z from the known coordinates x _k ., y _K , z _K and the measured coordinates x _KU , y _KU , z _{KU of the} phase center of the receiving antenna of the monitoring receiving radio the signals of a radio engineering facility, and also the ground-based point transmitting radio signals system contains a subsystem for controlling its operation.