A method for evaluating the influence of different threat source layouts on satellite navigation array receivers
By optimizing the threat source layout and using adaptive nulling technology, the problem of improper deployment of threat signal sources in traditional methods has been solved, increasing the effective threat area and minimum threat distance, and improving the protection capability of satellite navigation array receivers.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- NAT UNIV OF DEFENSE TECH
- Filing Date
- 2022-11-08
- Publication Date
- 2026-05-08
AI Technical Summary
Traditional threat signal source deployment methods fail to fully consider the suppression characteristics of adaptive array receivers for threat signals from different directions, resulting in the threat sources not being able to fully exert their effectiveness. The effective threat area of the deployment method is small, and the minimum threat distance is short, which cannot meet the requirements of satellite navigation and inertial navigation integrated navigation.
By constructing an initial deployment model for multiple threat sources, the effective range of threat sources on the array antenna and the joint threat area are calculated. The layout of threat sources is optimized to increase the effective threat area and the minimum effective influence distance. Adaptive nulling antenna technology is used to enhance the suppression capability of threat signals from different directions.
It increases the effective area of multiple threat sources, improves the protection effectiveness of the adaptive array receiver, and significantly enhances the countermeasure effectiveness compared with traditional methods, making it suitable for battlefield environment simulation analysis.
Smart Images
Figure CN115618646B_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the technical field of GNSS threat source optimization deployment schemes and implementation strategies, and in particular relates to a method for assessing the impact of different threat source layouts on satellite navigation array receivers. Background Technology
[0002] Adaptive array receivers can effectively suppress malicious signals from adjacent or same frequency bands that pose a threat to normal navigation, even if their number is less than the degrees of freedom of the array elements. Traditional multi-threat-source deployment methods typically consider directly and linearly superimposing the effective ranges of each individual threat source. This approach fails to take into account the array receiver's ability to suppress threat signals from different directions, thus hindering the effective deployment of multiple threat sources when facing an array receiver.
[0003] With the continuous advancement of satellite navigation enhancement technology, the signal strength from satellites reaching navigation receivers has increased. However, with constant power, the effective range of a single threat source has shortened, leading to a decrease in the effectiveness of the threat source. Furthermore, the development of inertial navigation technology has resulted in increasingly higher accuracy in autonomous inertial navigation modes. As the ultra-tight coupling method of GPS / INS integrated navigation matures, the ability of navigation receivers to suppress threat signals has significantly improved. For satellite-inertial navigation integrated navigation receivers, to ensure that the inertial navigation independently produces the expected positional deviation after the satellite navigation system is rendered ineffective by a threat signal, the threat signal needs to travel a sufficiently long distance. Therefore, to achieve effective threat signal suppression of adaptive array receivers at a greater distance and fully utilize the effectiveness of threat source sources, it is urgent to propose a method for assessing the impact of different threat source layouts on satellite navigation array receivers. Summary of the Invention
[0004] The purpose of this invention is to propose a method for assessing the impact of different threat source deployments on satellite navigation array receivers. This method solves the problems of traditional threat source deployment methods failing to consider the array receiver's ability to suppress threat signals from different directions when facing adaptive array receivers. This results in threat sources being unable to fully exert their effectiveness, and the deployment method having a small effective threat area and a short minimum threat distance, which fails to generate sufficient navigation deviation for the array receiver of satellite navigation and inertial navigation combined navigation systems.
[0005] To achieve the above objectives, this invention provides a method for assessing the impact of different threat source layouts on satellite navigation array receivers, comprising the following steps:
[0006] Acquire the location of the protected target point, the number and configuration parameters of GNSS threat sources, and the number of array antenna elements and threat source configuration parameters;
[0007] A Cartesian coordinate system is constructed using the location of the protected target point as the origin, and a multi-threat source initial deployment model is constructed based on several threat sources.
[0008] Based on the number of array antenna elements, the configuration parameters, and the threat source configuration parameters, the effective range of a single threat source to multiple threat sources on the array antenna is obtained.
[0009] Based on the initial deployment model of the multiple threat sources and the effective range of the single threat source to the multiple threat sources on the array antenna, the method for calculating the joint effective threat area of the multiple threat sources on the array antenna and the minimum effective influence distance of the threat signal are obtained.
[0010] By calculating the area of the joint effective threat region of multiple threat sources on the array antenna, we plot the function curve of the distance between the threat source and the origin of the protected target and the area of the effective influence region of the threat signal, and obtain the optimal deployment model that maximizes the area of the effective influence region of the threat signal.
[0011] Optionally, the configuration parameters of the GNSS threat source include: the frequency of the threat source, the signal wavelength, the transmitting antenna gain, and the transmitting power of the threat source;
[0012] The array antenna configuration parameters include: the interference-to-signal ratio (ISR) of the array antenna in suppressing single, dual, or even multiple threat signals, as well as the minimum resolution angle for threat signals from different directions.
[0013] Optionally, the location of the threat source around the protected target is calculated as follows:
[0014]
[0015] Among them, (x j y j Let be the position of the j-th threat source in the coordinate system, where j represents the threat source number (j = 1, 2, ..., T); and let I be the number of threat sources in the threat source deployment model (I ∈ N). * ), where r is the distance between the threat source and the origin of the coordinate system.
[0016] Optionally, constructing a multi-threat source initial deployment model based on several threat sources specifically includes: distributing the multiple threat sources at the same angle and at the same distance from the coordinate origin, and evenly around the protected target point to obtain the multi-threat source initial deployment model.
[0017] Optionally, based on the number of array antenna elements, the configuration parameters, and the threat source configuration parameters, obtaining the effective range of a single or multiple threat sources on the array antenna specifically includes:
[0018] The effective area of the j-th (j=1,2…I) threat source in the mission area, considering the array receiver's varying suppression capabilities against multiple threat signals, is:
[0019] (xx j ) 2 +(yy j ) 2 ≤(d i ) 2
[0020] Where di represents the maximum omnidirectional range of a single threat source when the combined effect of i threat sources propagating in free space is effective.
[0021]
[0022] Among them, P jt For the emission power of the threat source, G t For the transmit antenna gain, P s M represents the satellite-to-ground signal power. ji λ represents the interference-to-signal ratio (ISR) of the array receiver against threat source i, and λ is the wavelength of the threat source signal.
[0023] Optionally, obtaining the joint effective threat area area and minimum effective influence distance of threat signals from multiple threat sources on the array antenna specifically includes:
[0024] Taking the protected target point as the center, the area is taken as the task area. The task area is discretized into a*b grid points. The grid points in the area correspond to the locations of the threat source and the protected target point. Each grid point corresponds to a threatened interference point to be analyzed in the task area. The effective threat situation is obtained, and the judgment result is initialized into the matrix result_d.
[0025] Analyze the combined effective threat area and minimum effective threat range of threat sources to the array receiver. For each threatened point to be analyzed in the task area, determine the combined threat source situation of the array receiver at a certain point by traversing the matrix elements, and update the initial matrix result_d of the effective threat situation judgment result.
[0026] The total number of effective threat points to the array receivers within the mission area is counted, and the ratio is taken to the total number of points in the mission area. This ratio is then multiplied by the total area of the mission area to obtain the area of the joint effective threat region of multiple threat sources to the array antennas.
[0027] Find the array receiver that is effectively threatened closest to the origin of the coordinate system. The distance between the effectively threatened point and the origin of the coordinate system is the minimum effective influence distance of the threat signal.
[0028] Optionally, the area of the joint effective threat region of multiple threat sources to the array antenna is calculated as follows:
[0029]
[0030] Where L and H are the length and width of the task area, a and b are the number of rows and columns of the grid, and bs is a Boolean variable used to determine whether the threat source deployment model poses a valid threat to a point Q in space; if the threat is valid, then bs is used. s =1, otherwise b s =0.
[0031] Optionally, the minimum effective range of the threat signal specifically includes:
[0032] While assessing the threat status of a point Q in space, the distance between the threatened point and the origin is stored in the threat effect distance matrix D_O. The minimum non-zero element of the threat effect distance matrix D_O is the location of the array receiver within the corresponding task area that is effectively threatened, and the minimum effective influence distance Q of the threat signal is obtained. min The calculation is as follows:
[0033]
[0034] Among them, D min This represents the distance between the effective threat point and the origin of the array receiver within the mission area that is closest to the origin. The horizontal coordinates of the array receiver within the mission area that is effectively threatened, located closest to the origin. The vertical coordinate of the array receiver within the mission area that is effectively threatened, which is closest to the origin.
[0035] Technical Effects of this Invention: This invention discloses a method for assessing the impact of different threat source deployments on satellite navigation array receivers. This invention solves the problem that traditional threat source deployment methods, when facing adaptive array receivers, do not consider the array receiver's ability to suppress threat signals from different directions. This results in threat sources not being able to fully exert their effectiveness, and the deployment method having a small effective threat area and a short minimum threat distance, failing to generate sufficient navigation deviation for the array receiver in satellite-inertial navigation integrated navigation system. This invention addresses the array receiver's ability to suppress threat signals from different directions by proposing a threat source deployment optimization method and implementation strategy for array receivers. It utilizes the synergistic effect of multiple threat sources to form single-threat, dual-threat, and even multi-threat effective ranges for the array receiver, avoiding the situation where only one threat source is effective in the spatial area. This increases the minimum effective threat distance and the effective area of multi-source threats, fully leveraging the effectiveness of threat sources. Compared to traditional methods, it has better protective combat effectiveness. It can be applied to simulations of satellite navigation countermeasures effectiveness, such as battlefield environment simulation analysis. Attached Figure Description
[0036] The accompanying drawings, which form part of this application, are used to provide a further understanding of this application. The illustrative embodiments and descriptions of this application are used to explain this application and do not constitute an undue limitation of this application. In the drawings:
[0037] Figure 1 This is a schematic diagram illustrating the radius of influence of a single threat source on the array receiver under the multi-source model of this invention.
[0038] Figure 2 This is a schematic diagram of the planarized mesh of the task area in an embodiment of the present invention;
[0039] Figure 3 This is a schematic diagram of a uniform layout model of multiple threat sources according to an embodiment of the present invention;
[0040] Figure 4 This is a flowchart illustrating the method for assessing the impact of different threat source layouts on satellite navigation array receivers according to an embodiment of the present invention.
[0041] Figure 5 This is a schematic diagram of the optimized two-threat-source deployment model and effective area of action after adopting the threat source layout optimization method and implementation strategy proposed in the embodiments of the present invention;
[0042] Figure 6 The diagram shows the optimized three-threat-source deployment model and effective area of action after adopting the threat source layout optimization method and implementation strategy proposed in the embodiments of the present invention.
[0043] Figure 7 This is a schematic diagram of the optimized four-threat-source deployment model and effective area of action after adopting the threat source layout optimization method and implementation strategy proposed in the embodiments of the present invention;
[0044] Figure 8 This is a schematic diagram of the rS function curves of the distance r from the origin of the protected target and the area S of the effective threat region of the array receiver, using the method proposed in this embodiment of the invention.
[0045] Figure 9 A schematic diagram of the deployment model and effective area of four threat sources using traditional layout methods;
[0046] Figure 10 This diagram illustrates the effective area of a four-threat-source deployment model using a traditional layout approach. Detailed Implementation
[0047] It should be noted that, unless otherwise specified, the embodiments and features described in this application can be combined with each other. This application will now be described in detail with reference to the accompanying drawings and embodiments.
[0048] It should be noted that the steps shown in the flowchart in the accompanying drawings can be executed in a computer system such as a set of computer-executable instructions, and although a logical order is shown in the flowchart, in some cases the steps shown or described may be executed in a different order than that shown here.
[0049] like Figure 1-10 As shown, this embodiment provides a method for assessing the impact of different threat source layouts on satellite navigation array receivers, including the following steps:
[0050] Acquire the location of the protected target point, the number and configuration parameters of GNSS threat sources, and the number of array antenna elements and threat source configuration parameters;
[0051] A Cartesian coordinate system is constructed using the location of the protected target point as the origin, and a multi-threat source initial deployment model is constructed based on several threat sources.
[0052] Based on the number of array antenna elements, the configuration parameters, and the threat source configuration parameters, the effective range of a single threat source to multiple threat sources on the array antenna is obtained.
[0053] Based on the initial deployment model of the multiple threat sources and the effective range of the single threat source to the multiple threat sources on the array antenna, the method for calculating the joint effective threat area of the multiple threat sources on the array antenna and the minimum effective influence distance of the threat signal are obtained.
[0054] By calculating the area of the joint effective threat region of multiple threat sources on the array antenna, we plot the function curve of the distance between the threat source and the origin of the protected target and the area of the effective influence region of the threat signal, and obtain the optimal deployment model that maximizes the area of the effective influence region of the threat signal.
[0055] In this invention, in S1, the configuration parameters of the GNSS threat source include the frequency of the threat source, the signal wavelength, the gain of the transmitting antenna, and the transmitting power of the threat source; the configuration parameters of the array antenna include the interference-to-signal ratio of the array antenna to suppress single, dual, or even multiple threat signals, as well as the minimum resolution angle for threat signals from different directions.
[0056] In this invention, in S2, for the initial deployment model of multiple GNSS threat signal sources, for any GNSS threat source, the position of the GNSS threat source around the protected target is calculated using the following formula:
[0057]
[0058] In the above formula: (x j y jLet r represent the position of the j-th threat source in the coordinate system, r represent the distance of the threat source from the origin, and j represent the threat source number (j = 1, 2, ..., T). I represents the number of threat sources in the threat source deployment model (I ∈ N). * ).
[0059] In this invention, in S3, the effective range of each threat source on the array antenna, whether it is a single threat or multiple threat sources, is calculated using the following method:
[0060] The effective area of the j-th (j=1,2…I) threat source within the mission area, considering the varying suppression capabilities of the array receiver against multiple threat signals, is:
[0061] (xx j ) 2 +(yy j ) 2 ≤(d i ) 2
[0062] Where, d i Let i be the omnidirectional maximum range of a single threat source under the combined effect of i threat sources propagating in free space.
[0063]
[0064] Among them, P jt For the emission power of the threat source, G t For the transmit antenna gain, P s M represents the satellite-to-ground signal power. ji Let λ be the interference signal ratio (ISR) of the array receiver for suppressing threat signals from source i, and λ be the wavelength of the threat signal.
[0065] In S4 of this invention, for the initial deployment model of threat sources, the joint effective threat area area and the minimum effective range of threat sources on the array antenna are obtained through the following steps:
[0066] (1) Take the area with length L and width H as the center of the protected target point as the task area, and discretize the task area into a*b grid points. The grid points in the area correspond to the locations of the threat source and the protected target point. Each grid point corresponds to a threatened point to be analyzed in the task area, and the effective threat situation judgment result initialization matrix result_d is obtained.
[0067] (2) Analyze the combined effective threat area and minimum effective threat distance of I-source threats to T-element array receivers. For each threatened point to be analyzed in the task area, determine the combined threat situation of the array receiver at a certain point by traversing the matrix elements, and update the initial matrix result_d of the effective threat situation judgment result.
[0068] For each threatened point to be analyzed within the task area, i.e., an element in the matrix result_d, if the condition that the T-element array antenna is effectively threatened by the I-source threat model is met, then the element is assigned a value of 1; otherwise, it is assigned a value of 0. The following method is used to determine whether a threatened point to be analyzed within the task area meets the condition that the T-element array antenna is effectively threatened by the I-source threat model:
[0069] In the two-dimensional grid corresponding to the task area, define two points Q. m (x m ,y m ) and Q n (x n ,y n Distance between ) d i Let A be the maximum threat distance of a single threat source in all directions under the combined threat of i threat sources. ji The coordinates are Q j (x j ,y j The source of the threat is d i The set of points within the effective area formed by the maximum effective distance
[0070] A ji ={Q(x,y)|D(Q,Q j )≤d i}
[0071] Define any two threat sources Q under deployment scheme B. f (x f ,y f ), Q g (x g ,y g The included angle ∠Q formed at point Q f QQ g For Θ fg .
[0072]
[0073] Let set C i To deploy the i threat sources under scheme B, with d i When the maximum threat distance is covered by the joint threat signal, Θ fg The point set formed by the Q point of >θ.
[0074] C i ={Q(x,y)|Θ fg >θ}
[0075] There is no angle Θ when analyzing the effect of a single threat source. fgGiven the constraints, we denote C1 = {Q(x,y|x,y∈R)}.
[0076] Remember b i (i = 1, 2, ..., I) is a Boolean variable used to determine whether point Q is covered by the effective area of threat source i under deployment scheme B.
[0077] Then, the method for determining whether point Q is covered by the effective area of the threat source under deployment plan B is as follows: if the equation is satisfied...
[0078]
[0079] If b1 = 1, then b1 = 0; otherwise, b1 = 0.
[0080] The method for determining whether point Q is covered by the effective area of effect of the dual threat sources under deployment scheme B is as follows: If the equation is satisfied...
[0081]
[0082] Then b2 = 1, otherwise b2 = 0. k ∈ Z (Z mathematically represents the set of integers).
[0083] The method for determining whether point Q is covered by the effective area of effect of the three threat sources under deployment plan B is as follows: If the equation is satisfied...
[0084]
[0085] Then b3 = 1, otherwise b3 = 0.
[0086] The method for determining whether point Q is covered by the effective area of effect of the four threat sources under deployment scheme B is as follows: If the equation is satisfied...
[0087]
[0088] Then b4 = 1, otherwise b4 = 0.
[0089] Similarly, the method for determining whether point Q is covered by the effective area of threat source i under deployment scheme B is: if the equation is satisfied...
[0090]
[0091] Then b i =1, otherwise b i =0.
[0092] Therefore, the method for determining whether a specific threatened point Q within the task area is covered by the combined effective action area of threat source I under deployment scheme B is as follows: If the equation is satisfied...
[0093]
[0094] Then b s =1, point Q satisfies the condition of being effectively threatened; otherwise b s =0, point Q does not meet the threatened condition.
[0095] (3) Calculate the total number of array receivers effectively threatened within the task area, compare it with the total number of points in the task area, and then multiply the ratio by the total area of the task area to obtain the effective area of the combined threat of the I threat source deployment model. The calculation method for the effective area of the combined threat of the I threat source deployment model is as follows:
[0096]
[0097] Where L and H are the length and width of the task area, a and b are the number of rows and columns of the grid, and b s To determine whether the threat source deployment model reaches a valid threat level at a point Q in space, a Boolean variable is used. If the threat is valid, then b... s =1, otherwise b s =0.
[0098] (4) Locate the array receiver within the task area that is effectively threatened, which is closest to the origin. Calculate the distance between this point and the origin to obtain the minimum effective threat distance of the threat deployment model. The calculation method is as follows.
[0099]
[0100] Among them, Q min The point where the array antenna closest to the origin is effectively threatened is the point of attack.
[0101] Consider I threat sources acting on a T-element array antenna receiver (I, T∈N) * Because the receiver uses adaptive nulling antenna technology, the receiving gain of the array antenna forms nulls in the direction of multiple threat signals, thereby suppressing the threat signals. Therefore, the adaptive nulling antenna array antenna receiver has different levels of suppression capability for single and multiple threat sources. Let M be the tolerance of the T-element array antenna receiver for suppressing threat signals from source i (i = 1, 2…I). Ji Then there is
[0102] M J1 (dB)>M J2 (dB) > ... > M JI (dB)
[0103] Among them, M J1 (dB) represents the single threat suppression capability of the T-element receiver, M JI (dB) represents the ability of a T-element receiver to suppress I-element threats.
[0104] Therefore, consider the threat signal power at point Q, which is d away from the threat source, as P.J (dB)
[0105]
[0106] The interference-to-signal ratio at a point Q, at a distance d from the threat source, is defined as the ratio of the threat signal power to the satellite navigation signal power at that point.
[0107]
[0108] In the above formula, P s Let Q be the satellite signal power. This allows us to obtain the region where the interference-to-signal ratio decreases with increasing distance, radiating spherically outward from the threat source. Furthermore, since the T-element array receiver has different threat signal suppression tolerances M for single or multiple threat sources... JI (dB)~M J1 (dB), and the interference-to-signal ratio at the satellite navigation receiver input must be greater than the receiver's threat signal suppression tolerance M. Ji An effective threat can only be achieved when (dB) (i = 1, 2, ..., I), that is...
[0109]
[0110] Figure 1 This describes the maximum threat radius d of a single threat source in all directions under the combined effect of i threat sources propagating in free space. i As shown in the following formula,
[0111]
[0112] Therefore, the effective range of the j-th (j = 1, 2, ..., I) threat source in the task area, targeting the array receiver's different threat suppression capabilities against multiple threat sources, is:
[0113] (xx j ) 2 +(yy j ) 2 ≤(d i ) 2
[0114] In the formula, d i Let (x) be the maximum effective range of a single threat source under the combined effective action of i threat sources (i = 1, 2…I), and (x) be the maximum effective range of a single threat source. j y j Let be the position of the j-th threat source in the coordinate system.
[0115] Threat source layout optimization methods and implementation strategies for array receivers are proposed because incoming targets may come from all directions and are unknown in advance. Therefore, to cope with threats from all directions and achieve all-round protection, threat sources are considered to be deployed evenly in elevation and azimuth angles around the protected target. Figure 2 This describes the principle of task area meshing, which divides the spatial region into three points and stores the threat status judgment value of a point in the effective threat judgment result initialization matrix result_d. For each threatened point to be analyzed within the task area, i.e., an element in the result_d matrix, if the condition of the T-element array antenna being jointly and effectively threatened by the I-source threat model is met, then the element is assigned a value of 1; otherwise, it is assigned a value of 0. For a task area divided into a*b grid points, assuming each grid point represents a unit area, then the set of all grid points constitutes the total area of the task area. The area of the i-source joint effective threat region can be represented by the set of points jointly covered by the i threat sources.
[0116] like Figure 3 Taking a two-threat-source example, this paper describes a uniform layout model of multiple threat sources and the calculation principles for the shape of the effective action area and the minimum effective distance. The effective threat area of an adaptive array antenna is spatially divided into the effective action area S1 of a single threat source, the joint effective action area S2 of two threat sources, ..., the joint effective action area S1 of one threat source. I .Depend on The effective area of combined action of multiple threat sources is obtained. The area of the effective threat zone is calculated as follows:
[0117]
[0118] Within the effective threat area, while assessing the threat status of a point Q in space, the distance between the threatened point and the origin is stored in the threat distance matrix D_O. The minimum non-zero element of the threat distance matrix D_O is the effective jamming point of the array receiver closest to the origin within the corresponding task area. This minimum value is the minimum effective threat action distance of the threat source deployment model.
[0119] Using the area of the threat region as the optimization objective, a function curve is plotted showing the distance from the threat source to the origin of the protected target and the area of the threat region. By taking the optimal solution, the optimized threat source deployment method can be obtained.
[0120] A multi-threat source optimization deployment method for array antennas, by Figure 3 It can be seen that this avoids the traditional multi-threat source deployment method of directly linearly superimposing the range of each individual threat source, thus expanding the effective threat area and increasing the minimum effective threat range.
[0121] The process in this embodiment is as follows: Figure 4As shown, considering the ability of array receivers to suppress threat signals from different directions, a multi-threat source optimization deployment method for array antennas includes the following steps:
[0122] Step S1: Determine the location of the protected target point, the number and configuration parameters of GNSS threat sources, and the number and configuration parameters of the array antenna elements. The number and configuration parameters of the GNSS threat sources and the number and configuration parameters of the array antenna elements include: the number of GNSS threat sources I, the frequency f of the threat sources, the signal wavelength λ, and the transmitting antenna gain G. t and threat source transmission power P Jt The configuration parameters of the array antenna include: the number of array elements T, the array antenna's ability to suppress single, dual, or even multiple threat sources, and the interference-to-signal ratio M. ji And the minimum resolvable angle Θ for threat signals from different directions. fg .
[0123] Step S2: Establish an initial deployment model for multiple threat sources;
[0124] S201: Establish a Cartesian coordinate system with the location of the protected target point as the origin;
[0125] S202: Multiple threat sources are evenly distributed around the protected target point with the same included angle 2π / I and the same distance r from the origin, thus obtaining the initial deployment model of multiple threats;
[0126]
[0127] Where: (x j y j Let be the position of the j-th threat source in the coordinate system, where j represents the number of the interference source (j = 1, 2, ..., T). Let I be the number of threat sources in the interference source deployment model (I ∈ N). * ).
[0128] Step S3: Based on the number of array elements and configuration parameters of the array antenna and the configuration parameters of the threat source, calculate the effective range of single threat or multiple threats of each threat source on the array antenna.
[0129] S301: Calculate the maximum threat range d of a single threat source in all directions under the effective combined action of i GNSS threat sources propagating in free space. i ,
[0130]
[0131] Among them, P jt For the emission power of the threat source, G t For the transmit antenna gain, P s M represents the satellite-to-ground signal power.ji The signal-to-interference ratio (SIR) is the ability of an array receiver to suppress threats from source i.
[0132] S302: Calculate the threat signal effective area of the j-th (j = 1, 2, ..., I) threat source in the mission area, considering the different suppression capabilities of the array receiver against multiple threat sources.
[0133] (xx j ) 2 +(yy j ) 2 ≤(d i ) 2
[0134] Step S4: Calculate the area of the left camp region and the minimum effective threat range of the array antennas jointly posed by multiple threat sources.
[0135] S401: Based on the initial deployment model of the threat source and the effective range of the single-threat to multi-threat sources on the array antenna, determine whether a point Q in space meets the conditions for being threatened.
[0136] For each threatened point within the task area, i.e., an element in the matrix result_d, if the condition of the T-element array antenna being jointly and effectively threatened by the I-source threat model is met, then the element is assigned a value of 1; otherwise, it is assigned a value of 0. (Refer to...) Figure 5 , 6 In Figure 7, the shaded area represents the effective threat signal area. The method for determining whether a point is effectively threatened is as follows:
[0137] In the two-dimensional grid corresponding to the task area, define two points Q. m (x m ,y m ) and Q n (x n ,y n Distance between ) d i Let A be the maximum omnidirectional threat range of a single threat source under the effective combined action of i threat sources. ji The coordinates are Q j (x j ,y j The source of the threat is d i The set of points within the effective area formed by the maximum effective distance
[0138] A ji ={Q(x,y)|D(Q,Q j )≤d i}
[0139] Define any two threat sources Q under deployment scheme B. f(x f ,y f ), Q g (x g ,y g The included angle ∠Q formed at point Q f QQ g For Θ fg .
[0140]
[0141] Let set C i For deployment scheme B, under threat i and d i Θ is the distance of maximum threat effect coverage when combined threat effect coverage is maximized. fg The point set formed by the Q point of >θ.
[0142] C i ={Q(x,y)|Θ fg >θ}
[0143] There is no angle Θ when analyzing the effect of a single threat source. fg Given the constraints, we denote C1 = {Q(x,y|x,y∈R)}.
[0144] Remember b i (i = 1, 2, ..., I) is a Boolean variable used to determine whether point Q is covered by the effective area of threat source i under deployment scheme B.
[0145] Then, the method for determining whether point Q is covered by the effective area of the threat source under deployment plan B is as follows: if the equation is satisfied...
[0146]
[0147] If b1 = 1, then b1 = 0; otherwise, b1 = 0.
[0148] The method for determining whether point Q is covered by the effective area of effect of the dual threat sources under deployment scheme B is as follows: If the equation is satisfied...
[0149]
[0150] Then b2 = 1, otherwise b2 = 0. k ∈ Z (Z mathematically represents the set of integers).
[0151] The method for determining whether point Q is covered by the effective area of effect of the three threat sources under deployment plan B is as follows: If the equation is satisfied...
[0152]
[0153] Then b3 = 1, otherwise b3 = 0.
[0154] The method for determining whether point Q is covered by the effective area of effect of the four threat sources under deployment scheme B is as follows: If the equation is satisfied...
[0155]
[0156] Then b4 = 1, otherwise b4 = 0.
[0157] Similarly, the method for determining whether point Q is covered by the effective area of threat source i under deployment scheme B is: if the equation is satisfied...
[0158]
[0159] Then b i =1, otherwise b i =0.
[0160] Therefore, the method for determining whether a specific threatened point Q within the task area is covered by the combined effective threat effect of threat source I under deployment scheme B is as follows: If the equation is satisfied...
[0161]
[0162] Then b s =1, point Q satisfies the condition of being effectively threatened; otherwise b s =0, point Q does not meet the threatened condition.
[0163] S402: Calculate the area S of the combined effective threat region of multiple threat sources on the array antenna.
[0164]
[0165] Where L and H are the length and width of the task area, a and b are the number of rows and columns of the grid, and b s To determine whether the threat source deployment model reaches a valid threat level at a point Q in space, a Boolean variable is used. If the threat is valid, then b... s =1, otherwise b s =0.
[0166] S403: Calculate the minimum effective threat range of the interference deployment model.
[0167] Within the effective threat area, while assessing the threat status of a point Q in space, the distance between the threatened point and the origin is stored in the threat distance matrix D_O. The minimum non-zero element of the threat distance matrix D_O is the array receiver within the corresponding task area that is effectively threatened, and this minimum value is the minimum effective threat action distance of the threat deployment model.
[0168] Step S5: Using the effective threat area as the optimization objective, analyze the optimal deployment model that maximizes the minimum threat impact distance.
[0169] Reference Figure 8 Plot the rS function curves of the distance r from the threat source to the origin of the protected target and the effective threat area S of the multi-threat source model on the array receiver. Take the r with the largest area S as the model deployment parameter to obtain the optimized deployment model.
[0170] Reference and comparison Figure 7 and 9 , Figure 8 and Figure 10 The figures show schematic diagrams of the effective threat areas of the proposed method and traditional methods, as well as the curves showing the area S as a function of r, under a four-threat-source simulation scenario. The simulation parameters are: the array antenna's suppression capability against single, dual, triple, and quadruple threat sources, i.e., the threat signal suppression tolerance M. j1 ~M j4 The power levels are set to 70 dB, 60 dB, 50 dB, and 40 dB respectively. The minimum identification angle θ = 6° for the array to distinguish threat signals from different directions. All four threat sources have the same model parameters, and the threat source transmission power P... Jt With a power of 1kW, a transmitting antenna gain of 0dB, a transmission frequency of the B3 center frequency, and a satellite signal power to ground of -160dB, it provides omnidirectional threat coverage.
[0171] in Figure 7 This is an optimized four-threat-source deployment model and effective threat area result map using the threat source layout method proposed in the embodiment. Figure 8 It is a curve showing the change of the effective threat area area as a function of the distance r between the threat source and the protected target point using the method proposed in the embodiment. Figure 9 This is a deployment model of four threat sources and a map showing the effective threat areas using traditional layout methods. Figure 10 It is the area of the effective threat zone when using traditional layout methods.
[0172] As can be seen from the above, this avoids the situation where only one threat source is active in a spatial area, increases the minimum effective threat source range, and increases the effective area of multiple threat sources. Combined with... Figure 8 and Figure 10 It can be seen that, under the parameters set in the embodiment, the effective threat area is 9.08 times that of the traditional method. Combined with... Figure 7 and Figure 9 It can be seen that the minimum threat distance point constraint of the traditional algorithm is within the dual-threat range of the four-threat source model when r = d1 = 1.88 km, while the shortest threat distance point of the optimized algorithm proposed in the embodiment is outside the dual-threat range of the four-threat source model when r = 195 km, a difference of more than 100 times. Under the parameters set in the embodiment, the effective threat area is 9.08 times that of the traditional method. This fully leverages the effectiveness of threat sources and provides better defensive combat effectiveness compared to traditional methods.
[0173] The above description is merely a preferred embodiment of this application, but the scope of protection of this application is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the technical scope disclosed in this application should be included within the scope of protection of this application. Therefore, the scope of protection of this application should be determined by the scope of the claims.
Claims
1. A method for assessing the impact of different threat source layouts on satellite navigation array receivers, characterized in that, Includes the following steps: Acquire the location of the protected target point, the number and configuration parameters of GNSS threat sources, and the number of array antenna elements and threat source configuration parameters; A Cartesian coordinate system is constructed using the location of the protected target point as the origin, and a multi-threat source initial deployment model is constructed based on several threat sources. Based on the number of array antenna elements, the configuration parameters, and the threat source configuration parameters, the effective range of a single threat source to multiple threat sources on the array antenna is obtained. Based on the initial deployment model of the multiple threat sources and the effective range of the single threat source to the multiple threat sources on the array antenna, the method for calculating the joint effective threat area of the multiple threat sources on the array antenna and the minimum effective influence distance of the threat signal are obtained. The effective area of the j-th threat source within the mission region, targeting the array receiver's varying suppression capabilities against multiple threat signals, is: Where, di is the maximum omnidirectional range of a single threat source when the combined effect of i threat sources is effective under free space propagation of GNSS threat sources; The total number of effective threat points to the array receivers within the mission area is counted, and the ratio is taken to the total number of points in the mission area. This ratio is then multiplied by the total area of the mission area to obtain the area of the joint effective threat region of multiple threat sources to the array antennas. Find the array receiver that is effectively threatened and is closest to the origin of the coordinate system. The distance between the effectively threatened point and the origin of the coordinate system is the minimum effective influence distance of the threat signal. By calculating the area of the joint effective threat region of multiple threat sources on the array antenna, we plot the function curve of the distance between the threat source and the origin of the protected target and the area of the effective influence region of the threat signal, and obtain the optimal deployment model that maximizes the area of the effective influence region of the threat signal.
2. The method for assessing the impact of different threat source layouts on satellite navigation array receivers as described in claim 1, characterized in that, The configuration parameters of the GNSS threat source include: the frequency of the threat source, the signal wavelength, the transmitting antenna gain, and the transmitting power of the threat source; The array antenna configuration parameters include: the interference-to-signal ratio (ISR) of the array antenna in suppressing single, dual, or even multiple threat signals, as well as the minimum resolution angle for threat signals from different directions.
3. The method for assessing the impact of different threat source layouts on satellite navigation array receivers as described in claim 1, characterized in that, The location of the threat source around the protected target is calculated as follows: Where (xj, yj) represents the position of the j-th threat source in the coordinate system, j represents the threat source number j=1,2…T; I is the number of threat sources in the threat source deployment model. , This represents the distance between the threat source and the origin of the coordinate system.
4. The method for assessing the impact of different threat source layouts on satellite navigation array receivers as described in claim 1, characterized in that, Constructing a multi-threat source initial deployment model based on several threat sources specifically includes: distributing the multiple threat sources at the same angle and at the same distance from the origin, and evenly distributing them around the protected target point to obtain the multi-threat source initial deployment model.
5. The method for assessing the impact of different threat source layouts on satellite navigation array receivers as described in claim 1, characterized in that, Based on the number of array antenna elements, the configuration parameters, and the threat source configuration parameters, the effective range of a single or multiple threat sources acting on the array antenna specifically includes: Among them, P Jt For the emission power of the threat source, G t For the transmit antenna gain, P s M represents the satellite-to-ground signal power. Ji To improve the interference-to-signal ratio of the array receiver against threat sources, The wavelength of the threat source signal.
6. The method for assessing the impact of different threat source layouts on satellite navigation array receivers as described in claim 1, characterized in that, Obtaining the combined effective threat area area and minimum effective influence distance of threat signals from multiple threat sources on the array antenna specifically includes: Taking the protected target point as the center, the region is taken as the task area, and the task area is discretized into a. The grid points of b are the grid points in the area corresponding to the locations of threat sources and protected target points. Each grid point corresponds to a threatened and interfered point to be analyzed within the task area. The effective threat situation is obtained, and the result is used to initialize the matrix result_d. The analysis examines the combined effective threat area and minimum effective threat range of threat sources to the array receiver. For each threatened point to be analyzed within the task area, the combined threat situation of the array receiver at a certain point is determined by traversing the matrix elements, and the initial matrix result_d of the effective threat situation determination result is updated.
7. The method for assessing the impact of different threat source layouts on satellite navigation array receivers as described in claim 6, characterized in that, The area of the joint effective threat region from multiple threat sources to the array antenna is calculated as follows: Where L and H are the length and width of the task area, and a and b are the number of rows and columns of the grid. To determine whether the threat source deployment model reaches a valid threat level at a point Q in space, a Boolean variable is used. If the threat is valid, then... ,otherwise .
8. The method for assessing the impact of different threat source layouts on satellite navigation array receivers as described in claim 6, characterized in that, The minimum effective range of the threat signal specifically includes: While assessing the threat status of a point Q in space, the distance between the threatened point and the origin is stored in the threat effect distance matrix D_O. The minimum non-zero element of the threat effect distance matrix D_O is the location of the array receiver within the corresponding task area that is effectively threatened. The minimum effective influence distance Qmin of the threat signal is calculated as follows: in, This represents the distance between the effective threat point and the origin of the array receiver within the mission area that is closest to the origin. The horizontal coordinates of the array receiver within the mission area that is effectively threatened, located closest to the origin. The vertical coordinate of the array receiver within the mission area that is effectively threatened, which is closest to the origin.