Triplet array cross-eyed robust angle deception method

Abstract

The application discloses a kind of triad array cross eye robust angle deception methods, solve the deception angle of linear array cross eye model is not accurate, unstable, angle coverage range is small, realize has: construct interference triad array angle deception model;Through waveform matching constraint and beam pointing constraint to establish respective constraint equation;Establish the joint equation of waveform and beam;Optimization to complex weight vector of joint equation, realize robust angle deception.The triad array angle deception model of the application arranges triad array at the same plane of interference party in the far field of tracking antenna, makes the weighted signal received by tracking antenna robustly deviate from the preset false target position by two kinds of constraints, so that complex weighted signal and false target geometric position signal are consistent;Optimization process, only one parameter is required to obtain the optimum, high efficiency, short calculation time, easy to implement in engineering;Robustness is high, and angle coverage range is large, is used in the angle deception interference field of electronic countermeasure.

Description

TECHNICAL FIELD

[0001] The present application belongs to the technical field of communication, mainly relates to cross-eye jamming in electronic countermeasures, and in particular to a three-element array cross-eye stable angle deception method for angle deception in electronic countermeasures. BACKGROUND

[0002] Cross-eye jamming is an angle deception technology that can effectively make the tracking system deviate from the target direction. By transmitting signals with equal amplitude and opposite phase, the phase distortion of the signal received by the tracking antenna at the target echo is generated, effectively making the tracking system deviate from the target direction. However, the deception effect of cross-eye is greatly affected by external factors, resulting in certain limitations in jamming performance and deception effect. For the engineering application of cross-eye jamming technology, traditional algorithms use reverse cross-eye jamming model and multi-loop cross-eye model respectively, while the jamming performance of the reverse cross-eye structure is greatly affected by the baseline ratio and the signal-to-jam ratio, and the system parameter tolerance is very strict. The traditional algorithm analyzes the jamming effect from the tracking side, which is limited to cross-eye jamming and does not consider the optimization of the jamming side in some complex scenarios. In some complex scenarios, the traditional algorithm jamming is difficult to meet the implementation conditions.

[0003] Researching from the jamming side is an effective solution to the limitations of existing cross-eye algorithms. By controlling the center distortion degree and effective distortion area of the signal transmitted by the jamming side to the tracking side, a wavefront phase distortion characteristic research model of the cross-eye jamming system is established. However, existing algorithms focus on improving the wave center distortion degree and are limited to multi-loop cross-eye jamming. They focus on the optimization analysis of cross-eye jamming parameters to solve the inherent problems of traditional algorithms, which have limitations in application.

[0004] In 2022, Ning Yuhang et al. published the article "Performance Analysis of Multiple Antennas Synthetic False Target Jamming" in IEEE Access. In this article, the three-element structure antenna is used as the jamming antenna, and the three-element antenna jamming deception principle is derived. It is pointed out that when the jamming side uses a three-element antenna, the system parameter requirements of cross-eye jamming will be greatly relaxed, and the antenna phase no longer needs to be reversed, thus breaking free from the inherent parameter tolerance limit of cross-eye jamming. However, the article only derives the single-pulse angle measurement error, making the deception effect of three-element antenna jamming random and unable to produce stable deception effect on the jammed side through effective technology. Since the three-element structure model is based on the spherical coordinate system, it has limitations in application and is committed to the inherent parameter tolerance limit of cross-eye jamming. It does not involve stable deception, unstable deception performance, and small deception range, and cannot cope with scenarios that require stable deception.

[0005] Christian Musso et al. in 1997 published the article "Robustness of a new angular counter-measure", which starts from the deception stability of the interference party, and by constraining the retransmission signal of the interference antenna, the interference antenna can retransmit to the specified deception angle position of the tracking antenna, but the stability of this method is extremely susceptible to the influence of the antenna spacing and the distance between the two arrays; when the distance between the two arrays and the antenna spacing changes, the deception effect also changes, which exists great security risks for the protected target.

[0006] Some existing cross-eye interference technologies focus on the single pulse radar processing of the tracking party, focus on the parameter tolerance problem of cross-eye interference, and the research on the interference party also focuses on improving the distortion degree of the wave center; these methods do not involve controlling the signal of the interference party, it is difficult to form stable angle deception to the tracking antenna, resulting in unstable deception effect performance, which affects the engineering application of cross-eye deception. SUMMARY

[0007] The purpose of the present application is to overcome the shortcomings of the prior art, and to provide a three-element array cross-eye stable angle deception method with better deception stability, larger deception range and engineering application value.

[0008] The three-element array cross-eye stable angle deception method of the present application is characterized in that a deception three-element array angle deception model is established in an electronic countermeasure environment, the signal received by the deception three-element array is subjected to waveform matching constraint and beam pointing constraint, and the three-element array signal is weighted and retransmitted by combining with adaptive genetic algorithm optimization, so as to realize stable angle deception effect and increase the range of angle deception, including the following steps:

[0009] Step 1: Construct a deception three-element array angle deception model: a deception three-element array angle deception model is established in the interference party, the deception three-element array of the interference party is arranged near the protected target, the total number of elements of the three-element array is M, M is an integer multiple of 3; the three-element array elements arranged on the x-axis and the middle elements in the increasing direction along the y-axis are uniform arrays, the spacing between adjacent elements arranged in the same direction is d a ; at the tracking party, define the tracking antenna l as a uniform linear array located in the local coordinate system x'y'z' in the three-dimensional space, x' is parallel to x-axis, y' is parallel to y-axis, and z' is parallel to z-axis; the first element of l is the origin o' point of the local coordinate system, the number of elements is N, the spacing between adjacent elements of the uniform linear array is d l , the azimuth angle of l in the local coordinate system is θ', and the elevation angle is The three-element array of the jamming side is located at the far field of the tracking antenna, specifically in the direction of the angle between the line connecting the protected target and the origin o' of the tracking antenna and the normal line of the tracking antenna The three-element array angle deception model is formed; when the three-element array receives the signal of the tracking antenna, the subsequent weighted constraint control is performed on the signal, and the weighted signal causes phase distortion at the target echo receiving position of the tracking antenna

[0010] Step 2: The waveform constraint equation is established by waveform matching constraint: after being forwarded by the three-element array, the complex weighted signal waveform received by the element i on the tracking antenna l is s i , and the matrix form of s i is The complex weighting factor A is A=[A1,A2,…,A M ] T ; the false target azimuth signal waveform received by the element i on the tracking antenna l is D i , the distance between the false target position and the origin o' of the tracking antenna is d0, is the deception angle, which is the angle between the line connecting the false target position and the origin o' of the tracking antenna and the normal line of the tracking antenna; the waveform matching constraint method is used to minimize the complex weighted signal waveform s i of the protected target and the false target azimuth signal waveform D i in the mean square sense, to ensure that the signal waveform s i of the three-element array after being forwarded by the constraint three-element array is consistent with the preset false target azimuth signal waveform D i , and the waveform constraint equation is I(A), and the matrix form of I(A) is I(A)=A H MA-V H A-A H V+D,

[0011] Step 3: The beam pointing constraint equation is established by beam pointing constraint: the signal waveform received by the tracking antenna after being forwarded by the three-element array is G(θ), wherein θ is the angle between the beam pointing of the complex weighted signal received by the tracking antenna and the normal line direction of the tracking antenna, which is called the weighted deviation angle of the target; the beam pointing constraint equation |G(θ) 2 | is established by G(θ) using the beam pointing constraint method; the weighted deviation angle θ of the target after being forwarded by the three-element array and the deception angle tend to be consistent through the beam pointing constraint equation;

[0012] Step 4: The joint equation of the waveform and the beam is established: the waveform constraint equation I(A) and the beam pointing constraint equation |G(θ) 2To establish a joint equation that can control signal waveform and form stable angle deception; use I'(A) and the substitute term γ(θ,A) of the beam pointing constraint equation to form the joint equation under the three-element array:

[0013]

[0014] Wherein, η is an adjustment factor, and there is an irrelevant term D of A in I(A), and I'(A) is obtained by removing D from I(A) H MA-V H A-A H V; To form the beam pointing constraint equation |G(θ)| 2 The variable when the beam pointing constraint equation |G(θ)| 2 Take the partial derivative of θ, and simplify and arrange to obtain The variable is represented as The size affected by the change of the complex weighting factor A, The substitute term expression γ(θ,A) of the beam pointing constraint, and let

[0015] Step 5: Optimize the complex weight vector of the joint equation to form stable angle deception: obtain the optimal complex weight vector A by solving the adjustment factor η of the joint equation; according to the solving expression of the complex weight vector A obtained from the joint equation, the adaptive genetic algorithm is used to optimize the complex weight vector, and the solving expression of the complex weight vector A is used as the objective function, so that the optimal weight vector A of the three-element array can be obtained by adaptive optimization of the adjustment factor η; after the optimal weight vector A is obtained, the signal received by the three-element array antenna can be weighted and forwarded according to A, and stable angle deception is realized.

[0016] The present application solves the technical problems of inaccurate and unstable deception angle and small angle coverage range in the traditional linear array cross-eye model, combines the multi-three-element vector synthesis technology and the cross-eye jamming technology, optimizes the deception angle through waveform matching constraint and beam pointing constraint, and obtains the optimal complex weighting factor through adaptive genetic algorithm optimization.

[0017] Compared with the prior art, the present application has the following advantages:

[0018] (1) Deception accuracy is good: the three-element array and the cross-eye interference are combined, the false target generated in the vector synthesis of the three-element array can get rid of the problem of the false target on the straight line of the connecting line of the interference antenna in the cross-eye interference structure, has greater deception freedom, and can generate deception at any position near the space of the three-element array, so that more accurate deception effect is achieved.

[0019] (2) Stable deception effect: for the tracking antenna, the deception effect of the traditional linear array cross-eye interference is good or bad, and the deception effect may be unable to be achieved in severe cases, so that the target is exposed. When the three-element array is used for interference, the three-element array has greater deception freedom, the false target generated can be at any direction in the antenna plane, and does not deviate from the preset angle too much due to being only on the straight line of the antenna, the deception angle is near the preset deception angle, the preset deception effect is met, and the purpose of stable deception is achieved.

[0020] (3) Good optimization effect and engineering application value: the waveform matching constraint and the beam pointing constraint are combined to obtain a joint equation, the adaptive genetic algorithm is used to optimize the adjustment factor of the joint equation, the complex weight vector A in the joint equation can be obtained only by obtaining the adjustment factor, the complex weight vector can be solved in an engineering application, the three-element array is weighted, the solving method is simple and easy to implement. In addition, the adaptive genetic algorithm can adaptively adjust the crossover rate and the mutation rate, the crossover rate and the mutation rate required for evolution of the next generation population chromosome are calculated by comparing the fitness of each individual and the average fitness and the maximum fitness of the current population, the local search ability is retained, the local optimal solution condition is rarely encountered, the phenomena of staying in the local optimal solution and premature convergence existing in the traditional genetic algorithm are avoided, and the optimization performance is better. BRIEF DESCRIPTION OF DRAWINGS

[0021] Figure 1 is a flowchart of the present application;

[0022] Figure 2 is a three-element array interference model schematic diagram of the present application;

[0023] Figure 3 is a signal array pattern diagram of the implementation of interference of the traditional linear array cross-eye model;

[0024] Figure 4 is a signal array pattern diagram of the implementation of interference of the three-element array model of the present application;

[0025] Figure 5 is a comparison diagram of the deception effects of the tracking antenna receiving the traditional cross-eye linear array model and the present application, and is also Figure 3 and Figure 4 is a comparison diagram of the deception waveforms of the tracking antenna receiving the traditional cross-eye linear array model and the present application;

[0026] Figure 6 is the deception effect diagram of the traditional line array cross eye model using the traditional genetic algorithm in the three-dimensional scene;

[0027] Figure 7 is the deception effect diagram of the ternary array model in the three-dimensional scene using the traditional genetic algorithm in the application;

[0028] Figure 8 is the deception effect diagram of the traditional line array cross eye model using the adaptive genetic algorithm in the three-dimensional scene;

[0029] Figure 9 is the deception effect diagram of the ternary array model in the three-dimensional scene using the adaptive genetic algorithm in the application.

[0030] DETAILED DESCRIPTION: In order to make the purpose, technical scheme and advantages of the application clearer, the application will be described in detail below with reference to the drawings.

[0031] Embodiment 1: Cross eye jamming as an angle deception technology is one of the most effective means to counter single pulse radar. For many years, the jamming performance research on cross eye jamming has been a hot issue. The jamming performance of cross eye directly affects the safety of the target protection problem, and the better the jamming performance, the more accurate the deception of single pulse radar. The deception effect of the traditional cross eye jamming algorithm is greatly influenced by external factors, so that the jamming performance and deception effect are limited to a certain extent. The ternary array model is an effective way to solve the limitation of cross eye jamming performance. Some existing ternary array models have the advantages of larger range of false targets generated by vector synthesis, but still have the disadvantages of unstable deception effect. The defects of the above prior art limit the improvement of the deception performance in the angle deception process, resulting in unstable jamming performance, which affects the engineering application of the cross eye jamming algorithm based on the ternary array antenna.

[0032] The application carries out research and exploration in view of the above status, and the technical scheme proposed by the application in view of the problem of unstable deception performance generated by the jamming party is: a ternary array jamming model is established, when the ternary array receives the signal of the tracking antenna, the complex weighting factor is obtained by two ways at the same time, after the joint equation is obtained by using two constraints, the improved adaptive genetic algorithm is used for optimization, and the weighting factor is obtained. The signal is weighted using the weighting factor, and the tracking antenna receives the weighted signal and phase distortion occurs, so that the angle deception effect of the tracking party is achieved.

[0033] A three-element array cross-eye robust angle deception method is proposed, and the three-element array angle deception model of the interference is established in the electronic countermeasure environment, and the adaptive genetic algorithm is combined to forward the received signal of the three-element array interference after the waveform matching constraint and the beam pointing constraint, so that the stable angle deception effect is realized, and the range of angle deception is increased. Figure 1 , Figure 1 is the flowchart of the present application, comprising the following steps:

[0034] Step 1: Construct the three-element array angle deception model of the interference: the three-element array of the interference is established in the interference party, and the three-element array of the interference party is arranged near the protected target, the total number of array elements of the three-element array is M, M is an integer multiple of 3. In the present application, the three-element array elements arranged on the x-axis and the middle elements in the increasing direction along the y-axis are uniform arrays, and the distance between the adjacent two elements arranged in the same direction is d a . In the present application, the tracking antenna l is defined as a uniform linear array located in the local coordinate system x'y'z' in the three-dimensional space, x' is parallel to x-axis, y' is parallel to y-axis, and z' is parallel to z-axis; the first element of l is the origin o' point of the local coordinate system, the number of elements is N, and the distance between adjacent elements of the uniform linear array is d l , the azimuth of l in the local coordinate system is θ', and the elevation is The three-element array of the interference party is located in the far field of the tracking antenna, specifically in the direction along the angle between the connecting line of the protected target and the tracking antenna and the normal line of the tracking antenna, is the angle between the connecting line of the tracking antenna and the target position and the normal line, thereby forming a three-element array interference three-dimensional model, and together forming a three-element array angle deception model of the interference. In the present application, after the three-element array receives the signal of the tracking antenna, the subsequent weighted constraint control is performed on the signal, the received signal is complexly weighted and forwarded, and the weighted signal causes phase distortion at the receiving target echo of the tracking antenna.

[0035] The three-element array angle deception model of the interference established in the present application is arranged as a nested isosceles triangle with the bottom edge on the same straight line. The three-element array is arranged on the same plane, which is simple and conforms to the actual environmental conditions, and is beneficial to engineering application. In the model of the tracking party, the tracking antenna is established at the far field of the three-element array, and after the three-element array receives the signal of the tracking antenna, the received signal is complexly weighted and forwarded, so that the tracking party obtains the wrong target position after receiving the echo, thereby effectively protecting the target.

[0036] Step 2: Establish the waveform constraint equation through the waveform matching constraint: after the three-element array is forwarded, the complex weighted signal waveform received by the element i of the tracking antenna l is si , s i The expression of s is:

[0037]

[0038] In the formula, A is a complex weighting factor, A=[A1, A2, …, A M ] T , λ is the signal wavelength, d ki is the distance between the array element i and the kth three-element array element; the M three-element array elements are divided into two parts, the front 2M / 3 elements on the x-axis and the middle M / 3 elements. The first 2M / 3 terms of d ki are:

[0039]

[0040] The last M / 3 terms of d ki are:

[0041]

[0042] In the formula, (x'0, y'0, z'0) is the coordinate of the first array element o' of the tracking antenna, and the coordinate of the nth array element on the antenna is (x0, y0, z0) is the coordinate of the first array element of the three-element array, and the coordinate of the n1th element arranged on the x-axis is: (x0+(n1-1)d a , y0, z0). The middle elements in the first quadrant of the xoy coordinate system are also uniform arrays with a spacing of d a , and the coordinate of the n2th middle element in the y increasing direction is represented as: (x0+(M / 3-0.5)d a , y0+n2d a , z0).s i The matrix form of s is represented as The complex weighting factor A is A=[A1, A2, …, A M ] T .

[0043] Let the false target azimuth signal waveform received by the array element i on the tracking antenna l be D i , and the expression of D i is:

[0044]

[0045] In the formula, d0 is the distance between the false target position received by the tracking antenna and the tracking antenna, is the deception angle, which is the angle between the line connecting the false azimuth and the array element i and the normal line of the tracking antenna. In other words, the array element i on the tracking antenna l receives a distance d0 and an angle The false azimuth signal waveform is D i , The deception angle is the angle between the line connecting the false azimuth and array element i and the normal to the tracking antenna. This invention uses a waveform matching constraint method to ensure that the complex weighted signal waveform s of the protected target... i waveform D of the false target azimuth signal i Minimizes in the mean square sense, guaranteeing the signal waveform s after complex weighted forwarding of the constrained triplet array. i The waveform of the preset false target azimuth signal D i For consistency, the waveform constraint equation is established as I(A):

[0046]

[0047] The matrix form of I(A) is I(A) = A H MA-V H AA H V+D, Among them, the symbol () H Indicates conjugate transpose, () * Indicates conjugate, () T This indicates transpose.

[0048] Step 3: Establish the beam pointing constraint equation through beam pointing constraints: Let the signal waveform received by the tracking antenna after complex weighting of the triple array be G(θ):

[0049]

[0050] Where θ is the angle between the beam pointing of the complex weighted signal received by the tracking antenna and the normal direction of the tracking antenna, called the target weighted deflection angle; using the beam pointing constraint method, the tracking antenna beam pointing constraint equation |G(θ)| is established from G(θ). 2 :

[0051]

[0052] The target weighted bias angle θ and deception angle are constrained by the beam pointing constraint equation of the triple array forwarding. Towards consensus. Deception angle. This can also be understood as a false target location.

[0053] Step 4: Establish the joint equations for waveform and beam: using the waveform constraint equation I(A) and the beam pointing constraint equation |G(θ)| 2 Based on this, a joint equation is established that can both control the signal waveform and form a stable angle deception; the joint equation under the triplet array is formed by using I'(A) and the substitution term γ(θ,A) of the beam pointing constraint equation:

[0054]

[0055] where η is the adjustment factor, D is the irrelevant term of A in I(A), the irrelevant term is 0 in the derivation process, and D is removed to obtain I'(A) related to I(A), I'(A) = A H MA-V H A-A H V, which is related to the waveform matching constraint equation. The beam pointing constraint equation is |G(θ)| 2 The argument at which the maximum value is obtained, the beam pointing constraint equation is |G(θ)| 2 The partial derivative of θ is taken, and simplification and arrangement are performed to obtain The argument is represented as The size affected by the change of the complex weighting factor A, The alternative expression of is γ(θ, A), The term is related to the beam pointing constraint equation, and due to the beam pointing constraint, let

[0056] After the signal waveform is constrained, the signal received by the triad array after the weighted forwarding can be maximized to be consistent with the preset deception signal waveform; when the external signal changes, the waveform constraint stability will be greatly affected, and therefore the beam pointing of the triad array complex weighting signal needs to be constrained at the same time, so as to obtain a joint equation. Compared with the constraint of the waveform or the beam alone, the complex weight vector obtained by the joint equation can realize the control of the signal waveform and the formation of the stable angle deception.

[0057] Step 5: optimization of the complex weight vector of the joint equation to form a robust angle deception: the optimal complex weight vector A can be obtained by solving the adjustment factor η in the joint equation; the solving expression of the complex weight vector A obtained according to the joint equation is:

[0058]

[0059] where T T is The adaptive genetic algorithm is used to optimize the complex weight vector, the solving expression of the complex weight vector A is taken as the objective function, and the optimal weight vector A of the triad array can be obtained by adjusting the adjustment factor η; after the optimal weight vector A is obtained, the signal received by the triad array antenna can be weighted and forwarded according to A, that is, the adaptive genetic algorithm is used to optimize the joint equation, and the robust angle deception is realized.

[0060] ​The present application solves the technical problems of inaccurate, unstable and small angle coverage range of the traditional linear array cross eye model. If the traditional linear array cross eye model is used, even if the joint equation is used for constraint, the complex weight vector obtained is still inaccurate, the deception effect changes with the distance between the two arrays and the array element spacing, and even the interference cannot be achieved. The present application has good stability of deception effect after using three-element array, can achieve deception near the preset angle range, and can better protect the target safety.

[0061] The present application combines the multi-three-element vector synthesis technology and the cross eye interference technology, optimizes the deception angle through waveform matching constraint and beam pointing constraint, combines the adaptive genetic algorithm for optimization, and obtains the optimal complex weighting factor. The present application improves the deception effect and the stability of the deception angle, can stably protect the target, and increases the coverage range of the angle deception.

[0062] Embodiment 2: The three-element array cross eye robust angle deception method is the same as that in embodiment 1, and the interference three-element array angle deception model is constructed in step 1 of the present application, wherein the basic unit of the three-element array structure is an isosceles triangle, see Figure 2 In the present application, the base and the height of the isosceles triangle closest to the target position in the three-element array are equal, all the isosceles triangles in the three-element array structure have the same base, and the nested isosceles triangles on the same straight line are composed of the base. When the base of the isosceles triangle in the three-element array structure is located on the x-axis, the three-element array elements on the x-axis and the middle elements in the increasing direction along the y-axis are uniform arrays, and the distance between the adjacent two elements arranged in the same direction is d a The signal forwarded by the three-element array is controlled by the complex weight vector A, but still has the vector synthesis characteristics of the three-element array.

[0063] In the application, the triplet array is used as the jamming antenna, the target is located at the center of the triplet array on the x-axis, when the tracking antenna scans the target position, the target can implement deception jamming through the triplet array arranged near the target position, the triplet array vector synthesis jamming principle is similar to the cross-eye jamming, both are to deceive the tracking antenna through the wave front distortion generated by the synthesis wave of the jamming antenna; when the third element of the triplet does not participate in the emission of the echo signal, it has no jamming effect on the tracking antenna, the other two elements constitute a binary cross-eye jamming model, two echo signals with equal amplitude and opposite phase are emitted to the tracking antenna, so that the tracking antenna obtains a false target 1 located in the straight line of the two elements; when the third element also joins in the jamming of the tracking antenna, it is regarded as vector synthesis with the generated false target 1 to generate a false target 2 with a larger deflection range. Therefore, the false target generated by the vector synthesis of the triplet can get rid of the problem that the false target in the cross-eye jamming structure is located on the straight line of the connecting line of the jamming antenna, has a larger deception freedom degree, and can generate deception at any position near the space of the triplet array.

[0064] The triplet array model constructed in the application arranges the triplets as isosceles triangles with the same base, so that the arrangement process is more convenient, the calculation is simple, all the triplet arrays are arranged on the same plane, and the arrangement is more in line with the actual antenna placement position; the complex weighting vector is used to control the signals of the triplet array, so that the problem of inaccurate feeding parameters in the traditional triplet control mode can be avoided, and the accuracy of the amplitude and phase control of the triplet array can be improved through the constraint of the waveform and the beam pointing.

[0065] Embodiment 3: The cross-eye robust angle deception method of the triplet array is the same as that in Embodiments 1-2, the complex weight vector optimization of the joint equation in step 5 of the application comprises the following steps:

[0066] 5.1 obtain the solving expression of the complex weight vector A: the solving expression of the complex weight vector A is obtained through simplifying and arranging the joint equation under the triplet array:

[0067]

[0068] In the formula, T T is Since the value of A is related to η, M, V and T, M, V and T can be calculated in the model, and the adjustment factor η is obtained, so that the complex weight vector A in the joint equation can be obtained.

[0069] In the application, it can be known from the expression of the joint equation that the optimal weight vector A can be found only by obtaining the adjustment factor η. If an engineering application is given, only the value of a parameter needs to be calculated, so that the weight control of the retransmission signal of the triplet array can be realized, the solving speed is fast, the practicability is good, and the application value is high.

[0070] 5.2 Optimize the complex weight vector A of the joint equation using adaptive genetic algorithm: take the solving expression of the complex weight vector A as the objective function of the adaptive genetic algorithm, and adjust the factor η as the population individual in each genetic generation of the genetic algorithm; the factor η gradually becomes the optimal survival individual as the genetic generation increases, and the complex weight vector A obtained by using the factor η is the optimal complex weight vector; after obtaining the optimal weight vector A, the signals received by the triad array are weighted and forwarded according to the optimal complex weight vector A, so that the robust angle deception of the tracking antenna in electronic countermeasures is realized.

[0071] The adaptive genetic algorithm is adopted to obtain the optimal complex weight vector A, the solving expression of A is obtained through derivation and arrangement of the joint equation, and then the relationship between A and η is obtained through transformation of A. The value of η is obtained only by obtaining the value of A, and the complex weight vector A is obtained. The algorithm only needs to take the solving expression of A as the search information to perform optimization. The adaptive genetic algorithm obtains the adaptive crossover rate and mutation rate in an adaptive calculation manner, and calculates the crossover rate and mutation rate required for evolution of the next generation population chromosome by comparing the fitness of each individual and the average fitness and maximum fitness of the current population. The local search capability is retained, and the algorithm rarely falls into a local optimal solution, avoiding the phenomena of staying in a local optimal solution and premature convergence existing in traditional optimization algorithms, and the optimization performance is better.

[0072] A more detailed example is given below to further illustrate the present application.

[0073] Embodiment 4: The triad array cross-eye robust angle deception method is the same as that in Embodiments 1-3. The present application is a triad array cross-eye robust angle deception method, a triad array is arranged near the target region, a triad array angle deception model is established for the triad array and the tracking antenna, and the tracking antenna is subjected to angle deception. The method comprises the following steps:

[0074] Step 1: Construct a system model: a triad array model is established in a spatial rectangular coordinate system, the number of array elements is set to M, the array elements are uniformly distributed, and the spacing is d a , a uniform linear array model with a total of N array elements is established in a local coordinate system, and the array element spacing is d l , and a system model is constructed.

[0075] Step 2: Waveform matching constraint: after receiving the signals from the tracking antenna, each array element of the triad array performs appropriate complex weighting and transmits the signals to the tracking antenna, the complex weighting factor A is A=[A1, A2, …, A M ] T Each array element i of the tracking antenna receives the weighted transmission of all triad array elements and calculates the signal s i ; the waveform s received by the tracking antenna is calculatedi Then, assume the tracking antenna receives a distance of d0 and an angle of... The azimuth signal, the received false azimuth signal waveform is D i The tracking antenna actually received the triplet relay signal s. i and false azimuth signal D i Then, the waveform matching constraint method is used to make s i With D i Minimizing it in the mean square sense yields the constraint I(A) that maximizes the matching between the signal received by the tracking antenna and the transmitted signal of the false target;

[0076] Step 3: Beam pointing constraint: Let the signal waveform received by the tracking antenna with the beam pointing in the θ direction be G(θ). Considering the stability problem of the deception angle, the beam pointing constraint equation |G(θ)| is proposed. 2 This constraint method is not easily affected by changes in external signals, and can achieve a more robust deception effect;

[0077] Step 4: Establish joint constraints: Joint waveform matching constraints and beam pointing constraints establish constraint equations that can both control the signal waveform and ensure robustness of the complex weight vector. To better control the beam pointing, let |G(θ)| 2 The parameter that achieves the maximum value is right Taking the partial derivative gives express The magnitude of the influence of the change in A, and at the same time |G(θ)| 2 Taking the partial derivative with respect to θ and simplifying, we get... The substitution term expression γ(θ,A) is given. The optimal constraint equation is established by combining the joint constraint I(A) with I'(A) after removing terms irrelevant to A and the substitution term γ(θ,A). The adjustment factor of γ(θ,A) is set to η, then the adjustment factor of I(A) is 1-η.

[0078] Step 5: Adaptive Genetic Algorithm Optimization: By finding the adjustment factor in the optimal constraint equation, the optimal complex weight vector A can be obtained. The optimal constraint equation is simplified to obtain the solution expression for A. This expression is used as the objective function, and the parameters in the algorithm iteration are adaptively calculated to obtain the optimal solution set of the objective function, thus obtaining the optimal weight vector A. After obtaining the optimal weight vector A, the signal received by the triplet array antenna can be forwarded according to the weight of A, achieving robust angle deception.

[0079] The triad array cross-eye robust angle deception method of the application is used for adjusting the cross-eye interference structure, combines the triad array and the cross-eye interference, and obtains stable deception effect; when the triad array antenna receives the signal from the tracking antenna, the signal is forwarded back and is appropriately weighted by complex number, so that the weighted signal generates phase distortion at the target echo, thereby making the waveform direction point to the preset deception angle direction. The complex weighting factor is obtained by simultaneously constraining two ways, the optimal constraint equation is obtained by using two constraints, and then the optimal constraint equation is optimized by using the improved adaptive genetic algorithm, so that the complex weighting factor is obtained, the forwarding signal is weighted by using the complex weighting factor, and the angle deception effect is achieved.

[0080] The triad array angle deception model is constructed, the waveform matching and beam pointing methods are used for joint constraint, and stable angle deception effect is realized. The application solves the problems of inaccurate and unstable deception angle in the traditional algorithm, increases the range of angle deception, and is used for angle deception interference in the electronic countermeasure field.

[0081] The technical effects of the application are further illustrated by simulation experiment results.

[0082] Embodiment 5: In a two-dimensional scene, the traditional linear array cross-eye model and the application are used for angle deception simulation of the tracking antenna under the same conditions. The triad array cross-eye robust angle deception method of the application is the same as that in Embodiments 1-4, and the specific process of the simulation experiment is as follows:

[0083] Simulation condition: the solution expression of A is used as the target function, and the optimal weight vector of the target function is solved based on the adaptive genetic algorithm. In the adaptive genetic algorithm, the population size is 100, the maximum genetic generation is 200, the preset deception angle is 10°.

[0084] The specific experimental parameters are shown in Table 1.

[0085] Table 1 Experimental parameter setting

[0086]

[0087] Simulation content: the traditional linear array cross-eye model and the application are simulated in a two-dimensional interference scene. The antenna array arranged near the target is set as the traditional linear array cross-eye model and the triad array of the application, the joint equation is obtained by using two constraint equations, then the optimal weight vector is obtained by using the adaptive genetic algorithm, and the array pattern of the tracking antenna receiving the two interference models is obtained after the optimal weight vector is obtained. Figure 3 and Figure 4 , Figure 3 is the signal array pattern of the traditional linear array cross-eye model, Figure 4 ​The signal array pattern of the triad array model of the application is implemented to interfere. Figure 3 and Figure 4 The outer circle represents the azimuth angle, and the angle range is [-180°, 180°], and the inner circle represents the amplitude. The interference effect comparison chart of the two models is shown in Figure 5 .

[0088] Simulation results and analysis: see Figure 3 , the azimuth angle corresponding to the point where the peak value of the waveform in the figure is located is the deception angle, and the azimuth angle corresponding to the peak value in the figure is 11°, that is, the deception angle is 11°.

[0089] See Figure 4 , the azimuth angle corresponding to the point where the peak value of the waveform is located is the deception angle, and it can be concluded that the deception angle reached by the linear array cross-eye model interference is 10°.

[0090] Comparing Figure 3 and Figure 4 , it can be concluded that when the preset deception angle is 10°, the signal array pattern of the traditional linear array interference model points to 11°, and the signal array pattern of the triad array model of the application points to 10°, which shows that the direction of the triad array of the application is more accurately pointed to the preset deception angle, and the angle deception effect is more accurate.

[0091] Figure 5 is a comparison chart of the deception effect of the tracking antenna receiving the traditional cross-eye linear array model and the application, and is also a comparison chart of the deception waveform of Figure 3 and Figure 4 . Figure 5 The horizontal axis in the figure represents the azimuth angle, and the angle range is [-90°, 90°], the vertical axis represents the amplitude dB, and the azimuth angle corresponding to the point where the peak value of the waveform is located is the deception angle, Figure 5 , the solid line in the figure is the deception waveform of the traditional linear array, and the dashed line represents the deception waveform of the triad array of the application. Figure 5 It can be seen that the deception waveform of the traditional linear array points to 11.41°, while the deception waveform of the triad array of the application points to 10.27°, which is more consistent with the preset deception angle. At the same time, the traditional linear array model in Figure 5 has a symmetrical peak, which will affect the beam pointing and cause the instability of the deception effect; and there is no symmetrical peak in the application, so it will not be affected by the symmetrical peak. And the position that should be constrained at this time using the traditional linear array model interference does not exist on the straight line where the cross-eye antenna is located, so it can only be constrained to the point closest to the preset angle on the straight line. The above two points cause the inaccuracy of the linear array model. The triad array of the application can better avoid this problem, and the application can achieve more stable and accurate deception effect.

[0092] Example 6: Angle deception simulation of tracking antenna under the same conditions using traditional linear array cross-eye model and the present application in three-dimensional scene. The robust angle deception method of triad array cross-eye is the same as examples 1-4, and the specific process of simulation experiment is as follows:

[0093] Simulation conditions: The conditions of simulation experiment are the same as example 5, in which the traditional genetic algorithm and the adaptive genetic algorithm are used for optimization respectively, and the distance between the interference antennas and the distance between the two arrays are changed to simulate the deception effect of triad array interference model and linear array model.

[0094] Simulation content: In the three-dimensional experimental scene, the deception stability and accuracy of the present application are simulated and compared with the same type method. Under the same experimental conditions, the deception performance of the present application under different optimization algorithms and the deception effect of the traditional linear array cross-eye model under different optimization algorithms are simulated, and the distance between the local array elements and the distance between the two arrays are changed to verify the influence of the deception effect of different algorithms under the change of parameters. Figure 6 is the deception effect diagram of the traditional linear array cross-eye model using the traditional genetic algorithm in the three-dimensional scene, Figure 7 is the deception effect diagram of the triad array model in the present application using the traditional genetic algorithm in the three-dimensional scene, Figure 8 is the deception effect diagram of the traditional linear array cross-eye model using the adaptive genetic algorithm in the three-dimensional scene, Figure 9 is the deception effect diagram of the triad array model in the present application using the adaptive genetic algorithm in the three-dimensional scene. Figures 7 to 9 The values of the coordinate axes represent: the x-coordinate represents the local array spacing, the y-coordinate represents the distance between the two arrays, and the z-coordinate represents the angle value corresponding to the wave crest.

[0095] Simulation results and analysis: see Figure 6 , Figure 6 is the deception effect diagram of the traditional linear array cross-eye model using the traditional genetic algorithm optimization under the change of the local array spacing and the distance between the two arrays. When the local array spacing and the distance between the two arrays change, the deception effect of the linear array interference model will also be affected. The deception angle of the linear array interference model is between-10° and 10°, and the deception effect is extremely unstable, and the value close to the maximum wave form appears as 5, which indicates that in this case, the linear array interference model only produces little deception effect, which will cause great security risks.

[0096] see Figure 7 , Figure 7It can be seen from the deception effect diagram of the three-element array model of the application that the deception effect of the three-element array model of the application is between 10° and 13°, and with the change of the local array spacing and the two-array distance, the deception effect will also fluctuate, but is still near the preset deception angle 10°, with small error and high accuracy, and the deception effect can be achieved.

[0097] Referring to Figure 8 , Figure 8 It is the deception effect diagram of the traditional linear array cross eye model optimized by using the adaptive genetic algorithm under the condition that the local array spacing and the two-array distance change. Figure 8 It can be seen that after the adaptive genetic algorithm is used, the deception effect is obviously improved, and when the local array spacing and the two-array distance change, the deception angle of the linear array cross eye interference is only in the-10° direction in a few cases, and is near the preset deception angle in other cases.

[0098] Referring to Figure 9 , Figure 9 It is the deception effect diagram of the three-element array model of the application optimized by using the adaptive genetic algorithm under the condition that the local array spacing and the two-array distance change. Figure 9 After the adaptive genetic algorithm is used in the three-element array model, the interference effect of the three-element array is very good, and the deception angle is only 11° in a few cases, and is about 10° in other cases. This shows that the application has stable deception performance.

[0099] Figure 6 and Figure 7 The traditional genetic algorithm is used for parameter optimization, Figure 8 and Figure 9 The adaptive genetic algorithm of the application is used for parameter optimization, and Figure 6 、 Figure 7 and Figure 8 、 Figure 9 When the traditional genetic algorithm is used for parameter optimization, the deception is unstable. Figure 6 -10° in the application is due to the fact that the traditional genetic algorithm regards the symmetric peak as the deception angle and no longer continues to seek a better solution, so that a more accurate deception effect cannot be achieved. Figure 7 13° is also the case when the traditional genetic algorithm falls into a local optimal solution; and the adaptive genetic algorithm of the application Figure 8 and Figure 9 Fall into a local optimal solution less than when the traditional genetic algorithm is used for optimization, which shows that the adaptive genetic algorithm of the application can greatly avoid the phenomenon of premature convergence, and maintains the global optimization ability and the stability of the deception process.

[0100] From Figure 8 It can be seen from the figure that when the interference element spacing and the distance between the two arrays increase, the traditional linear array cross eye model deception angle exists about -10° due to the symmetric peak deception disturbance; and there is still a deviation of three or four degrees at about 10°. From the traditional linear array cross eye model deception principle, since the false target generated by the traditional linear array can only appear on the straight line where the linear array cross eye antenna is located, when the deception angle is constrained to 10°, only the deception angle that is closest to the preset angle on the straight line can be found, so the deception angle presented does not all conform to the preset angle; and Figure 9 The three-element array of the present application has the characteristics of three-element vector synthesis method, and in combination with the waveform and beam constraint and the adaptive genetic algorithm of the present application, the false target generated by the present application can be at any direction in the antenna plane, and will not deviate from the preset angle too much due to being only on the straight line of the antenna, the deception angle is about 10°, which conforms to the preset deception effect, and the purpose of stable deception is achieved.

[0101] Example 7: Under the same conditions, the traditional linear array cross eye model and the present application are used in a three-dimensional scene to perform angle deception simulation on a tracking antenna for varying deception angles. The three-element array cross eye robust angle deception method is the same as that in Examples 1-4, and the specific process of the simulation experiment is as follows:

[0102] Simulation conditions: The simulation experiment conditions are the same as those in Example 5, wherein the preset deception angle is set in the range of [0°, 60°].

[0103] Simulation content: The deception effects of the present application and the prior art under different preset deception angles are compared. The deception angle varies from 0° to 60°, other conditions remain unchanged, the deception angles of the linear array interference model and the three-element interference model are compared and subtracted from the preset angle, and the intuitive difference between the deception effects of the present application and the prior art is obtained. Table 2 is a comparison of the deception error angles of the two models, ε1 is the error of the traditional linear array model under different deception angles from the preset angle, and ε2 is the error of the three-element model of the present application under different deception angles from the preset angle.

[0104] Table 2 Comparison of deception ranges of the present application and the traditional linear array cross eye model

[0105]

[0106] Simulation results and analysis: As shown in Table 2, Table 2 is the error results of the traditional linear array cross eye model and the present application under different deception angles, and is also a comparison table of the deception ranges of the present application and the traditional linear array cross eye model. The preset deception angle ε1 and ε2 are respectively the error of the linear array model and the triad array model at different deception angles compared with the preset angle The linear array interference model in Table 2 has a relatively accurate deception effect in the range of [0°, 20°] when the preset angle is changed, but when the preset angle is 30°, it can only produce about 9° deception, and the deception accuracy is greatly reduced; when the preset angle reaches 60°, the linear array interference model can only achieve about 5° deception, which is insufficient for protecting the safety of the target. After using the present application, accurate deception can be achieved in the range of [0°, 30°], and at 40°, the tracking antenna can still be deceived to a direction 20° away from the target, and when the value of the preset angle is 60°, the present application can still deceive about 16°. Compared with the traditional linear array cross-eye model, the deception effect of the triad array model of the present application has been significantly improved. From the principle of the traditional linear array cross-eye model, it can be known that since the false target formed by the traditional linear array cross-eye interference can only exist on the straight line where the linear array elements are located, accurate deception can only be achieved when the deception angle is exactly in the direction of the straight line; if the preset deception angle is outside the straight line where the linear array elements are located, the linear array model can only forcibly generate a false target on the straight line, which leads to inaccurate deception angles. Therefore, the linear array can only accurately deceive within a range of 20°, and when the preset deception angle is large enough, the deception effect becomes very poor.

[0107] The deception effect of the triad array model is more accurate than that of the linear array, because the third element of each triad in the triad array model adds deception, which enables the false target that can only exist on the straight line where the first and second elements are located to be vector synthesized again, so that the false target generated by the triad vector synthesis can be generated at any position near the triad structure, which is crucial for the accuracy and stability of angle deception. Therefore, even when the preset angle is 60°, the triad model can still successfully deceive the tracking party by about 16°, which is better than the interference effect of the linear array model.

[0108] The deception effect of the triad array model is more accurate than that of the linear array, because the third element of each triad in the triad array model adds deception, which enables the false target that can only exist on the straight line where the first and second elements are located to be vector synthesized again, so that the false target generated by the triad vector synthesis can be generated at any position near the triad structure, which is crucial for the accuracy and stability of angle deception. Therefore, even when the preset angle is 60°, the triad model can still successfully deceive the tracking party by about 16°, which is better than the interference effect of the linear array model.

[0109] ​​In summary, the triad array cross-eye robust angle deception method of the present application solves the technical problems of inaccurate, unstable and small angle coverage range of the deception angle in the traditional linear array cross-eye model, and the implementation is as follows: a triad array angle deception model is constructed; a waveform constraint equation is established through waveform matching constraint; a beam pointing constraint equation is established through beam pointing constraint; a joint equation of the waveform and the beam is established; the complex weight vector of the joint equation is optimized to realize robust angle deception. The triad array angle deception model constructed by the present application arranges the triad array on the same plane of the interference side at the far field of the tracking antenna, and through two constraints, the weighted signal received by the tracking antenna is robustly deflected to the preset false target position, so as to ensure the consistency of the complex weighted signal and the false target geometric position signal; in the optimization process, an adaptive genetic algorithm is used to obtain the optimal complex weight vector by only requiring one parameter, which is high in efficiency, short in calculation time and easy to implement in engineering; the angle deception caused by the two constraints of the present application is robust and has a wide angle coverage range, and is used in the field of angle deception jamming for electronic countermeasures.

Claims

1. A robust angle deception method for a triplet array cross-eye, characterized in that, In an electronic warfare environment, an angle deception model for a jamming triple array is established. Waveform matching and beam pointing constraints are applied to the signals received by the jamming triple array. An adaptive genetic algorithm is then used for optimization, and the triple array signals are weighted and forwarded to achieve a stable angle deception effect, increasing the range of angle deception. The process includes the following steps: Step 1: Constructing the Interference Triple Array Angle Deception Model: Establish a triple array for the interference triple array angle deception model on the interfering side. Deploy the interfering side's triple array near the protected target. The total number of array elements in the triple array is M, where M is a multiple of 3. The array elements arranged along the x-axis and the intermediate array elements along the increasing y-axis are uniform arrays. The spacing between adjacent array elements in the same direction is d. a In the tracking configuration, the tracking antenna l is defined as a uniform linear array located in a local coordinate system x'y'z' in three-dimensional space, where x' is parallel to the x-axis, y' is parallel to the y-axis, and z' is parallel to the z-axis. The first element of l is the origin o' of the local coordinate system, and there are N elements. The spacing between adjacent elements of the uniform linear array is d. l The azimuth angle of l in the local coordinate system is θ', and the elevation angle is... The jamming target's triple array is located in the far field of the tracking antenna, specifically at the angle between the line connecting the protected target and the origin o' of the tracking antenna and the normal to the tracking antenna. The directions together form the interference triple array angle deception model; when the triple array receives the signal from the tracking antenna, it performs subsequent weighted constraint control on the signal, and the weighted signal causes phase distortion at the target echo received by the tracking antenna; Step 2: Establish waveform constraint equations through waveform matching constraints: After being relayed by the triplet array, the complex weighted signal waveform received by array element i on tracking antenna l is s i s i matrix form To track the unweighted signal waveform received by array element i on antenna l, the complex weighting factor A is A = [A1, A2, ..., A...]. M ] T Let the waveform of the false target azimuth signal received by array element i on tracking antenna l be D. i The distance between the false target location and the origin o' of the tracking antenna is d0. The deception angle is the angle between the line connecting the false target position and the origin o' of the tracking antenna and the normal to the tracking antenna; using the waveform matching constraint method, the complex weighted signal waveform s of the protected target is made... i waveform D of the false target azimuth signal i Minimizes in the mean square sense, guaranteeing the signal waveform s after complex weighted forwarding of the constrained triplet array. i The waveform of the preset false target azimuth signal D i To ensure consistency, the waveform constraint equation is established as I(A), and the matrix form of I(A) is I(A) = A. H MA-V H AA H V+D, Step 3: Establish the beam pointing constraint equation using beam pointing constraints: Let the signal waveform received by the tracking antenna after complex weighting from the triple array be G(θ), where θ is the angle between the beam pointing of the complex weighted signal received by the tracking antenna and the normal direction of the tracking antenna, called the target weighted deflection angle; using the beam pointing constraint method, establish the tracking antenna beam pointing constraint equation |G(θ)| from G(θ). 2 The target weighted bias angle θ and deception angle of the triple array forwarding are constrained by the beam pointing constraint equation. Towards consensus; Step 4: Establish the joint equations for waveform and beam: using the waveform constraint equation I(A) and the beam pointing constraint equation |G(θ)| 2 Based on this, a joint equation is established that can both control the signal waveform and form a stable angle deception; the joint equation under the triplet array is formed by using I'(A) and the substitution term γ(θ,A) of the beam pointing constraint equation: In the formula, η is the adjustment factor. There is an irrelevant term D in I(A). Removing D, I'(A) = A. H MA-V H AA H V; Let |G(θ)| 2 The parameter that is used to obtain the maximum value is right Taking the partial derivative gives This indicates the parameter variable The magnitude of the influence of the change in the complex weighting factor A, while also considering |G(θ)| 2 Taking the partial derivative with respect to θ and simplifying, we get... The alternative expression γ(θ,A) is given by the beam pointing constraint, let Step 5 optimizes the complex weight vector of the joint equation to form a robust angle deception: the adjustment factor η in the joint equation is obtained to get the optimal complex weighting factor A; the solution expression of the complex weighting factor A is obtained from the joint equation, and an adaptive genetic algorithm is used to optimize the complex weight vector. The solution expression of the complex weighting factor A is used as the objective function. The optimal complex weighting factor A of the triplet array can be obtained by adaptively optimizing the adjustment factor η; after obtaining the optimal complex weighting factor A, the signal received by the triplet array antenna is weighted and forwarded according to A to achieve robust angle deception.

2. The robust angle deception method for triplet array cross-eyes according to claim 1, characterized in that: Step 1 describes the construction of an interference triplet array angle deception model. The basic unit of the triplet array structure is an isosceles triangle. All isosceles triangles in the triplet array structure are composed of nested isosceles triangles with their bases on the same straight line. When the base of the isosceles triangle in the triplet array structure is located on the x-axis, the triplet array elements on the x-axis and the intermediate elements along the increasing y-axis are uniform arrays, with adjacent elements arranged in the same direction spaced by a distance d. a The signal forwarded by the triplet array is controlled by the complex weighting factor A, but it still has the vector synthesis characteristics of the triplet.

3. The robust angle deception method for triplet array cross-eyes according to claim 1, characterized in that: Step 5, the optimization of the complex weight vector of the joint equation, includes the following steps: 5.1 Obtaining the solution expression for the complex weighting factor A: Simplifying and rearranging the joint equation under the triplet array, the solution expression for the complex weighting factor A is obtained as follows: In the formula T H for Since the value of A is related to η, M, V, and T, and M, V, and T can all be calculated in the model, the complex weighting factor A in the joint equation can be obtained by obtaining the adjustment factor η. 5.2 Optimizing the complex weighting factor A of the joint equation using an adaptive genetic algorithm: The solution expression for the complex weighting factor A is used as the objective function of the adaptive genetic algorithm, and the adjustment factor η is the individual in the population at each generation in the genetic algorithm; the adjustment factor η gradually becomes the optimal surviving individual as the number of generations increases, and the complex weighting factor A obtained using the adjustment factor η is the optimal complex weighting vector; after obtaining the optimal complex weighting factor A, the signal received by the triplet array is weighted and forwarded according to the optimal complex weighting factor A, realizing robust angle deception of the tracking antenna in electronic countermeasures.

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