Method for generating full polarization accurate jamming waveform based on constant modulus constraint

Abstract

The application discloses a full polarization accurate jamming waveform generation method based on a constant modulus constraint, and the method comprises the following steps: multiplying a receiving beam weight with a receiving signal to recover a radar angle domain signal, and obtaining two polarization signals; according to a full polarization radar array response matrix, a full polarization jammer transmitting signal and the two polarization signals, a polarization scattering matrix is used to polarize the recovered radar angle domain signal, and a transmitting signal design model of the jammer is determined; and the transmitting signal design model of the jammer is iteratively solved to generate a full polarization jamming signal for the full polarization radar. According to the method provided in the application, the polarization scattering matrix is used to polarize the jamming transmitting signal, and the constructed transmitting signal design model of the jammer is solved, so that the generation of the full polarization jamming waveform can be realized, and thus the problem that the single polarization jamming signal is easily identified can be avoided, and the jamming capability on the full polarization radar is improved.

Description

Technical Field

[0001] This invention belongs to the field of radar jamming signal generation technology, specifically relating to a method for generating accurate fully polarized jamming waveforms based on constant modulus constraints. Background Technology

[0002] With the upgrading of electronic countermeasures, advanced electronic jamming is flooding radar receivers to disrupt their normal operation, using suppression and deception to damage the radar's detection, measurement, tracking, and identification of target signals. However, current electronic jamming is mostly single-polarization and primarily intercept-and-retransmit jamming. With the rapid development and application of fully polarized radar technology, this traditional single-polarization jamming method is facing unprecedented challenges. Fully polarized radar can simultaneously receive and process signals from different polarization directions, possessing higher information acquisition capabilities and anti-jamming performance. Therefore, when single-polarization jamming attempts to intrude into a fully polarized radar system, the polarization scattering matrix of the single-polarization jamming signal has a rank of 1, and the equivalent scattering matrix of intermittent sampling and retransmitting jamming is an identity matrix; the characteristics of this jamming signal in the polarization domain become extremely obvious, making it very easy for the radar system to identify and distinguish. Summary of the Invention

[0003] This invention provides a method for generating accurate interference waveforms in full polarization based on constant modulus constraints, which can solve the problem that current interference signals are easily identified.

[0004] In a first aspect, embodiments of the present invention provide a method for generating fully polarized precise interference waveforms based on constant modulus constraints, the method comprising:

[0005] The radar angular domain signal is recovered by multiplying the received beam weight with the received signal, resulting in two polarization signals, of which the received signal is transmitted by the fully polarimetric radar.

[0006] Based on the response matrix of the fully polarized radar array, the transmitted signal of the fully polarized jammer, and the two polarized signals, the recovered radar angular domain signal is polarized modulated using the polarization scattering matrix, and the design model of the jammer's transmitted signal is determined.

[0007] The design model of the jammer's transmitted signal is iteratively solved to generate a fully polarized jamming waveform for the jammed machine.

[0008] Secondly, embodiments of the present invention provide an jammer, comprising:

[0009] The receiving signal processing unit is used to multiply the received beam weight and the received signal to recover the radar angular domain signal, resulting in two polarization signals, wherein the received signal is transmitted by the fully polarimetric radar.

[0010] The model adaptive unit determines the design model of the jammer's transmission signal by polarizing the recovered radar angular domain signal using the polarization scattering matrix, based on the response matrix of the fully polarized radar array, the transmitted signal of the fully polarized jammer, and the two polarized signals.

[0011] The iterative solution unit is used to iteratively solve the design model of the jammer's transmitted signal to generate a fully polarized jamming waveform for the fully polarized radar.

[0012] The beneficial effects of the embodiments of the present invention compared with the prior art are as follows: According to the method provided by the present invention, the interference transmission signal is polarized by polarization modulation through polarization scattering matrix, and the constructed jammer transmission signal design model is solved, which can realize the generation of fully polarized interference signal waveform, thereby avoiding the problem that single polarization interference signals are easily identified and improving the jamming capability against fully polarized radar. Attached Figure Description

[0013] Figure 1 A flowchart illustrating the implementation of a method for generating fully polarized, precise interference waveforms based on constant modulus constraints, provided in an embodiment of the present invention.

[0014] Figure 2 A flowchart illustrating the implementation of an iterative solution method for a transmitted signal recovery model provided in an embodiment of the present invention;

[0015] Figure 3 This is a schematic diagram of the structure of an interference device provided in an embodiment of the present invention. Detailed Implementation

[0016] In the following description, specific details such as particular system architectures and techniques are set forth for illustrative purposes and not for limitation, in order to provide a thorough understanding of the embodiments of the invention. However, those skilled in the art will understand that the invention can be implemented in other embodiments without these specific details. In other instances, detailed descriptions of well-known systems, apparatuses, circuits, and methods are omitted so as not to obscure the description of the invention with unnecessary detail.

[0017] It should be understood that, when used in this specification and the appended claims, the term "comprising" indicates the presence of the described features, integrals, steps, operations, elements and / or components, but does not exclude the presence or addition of one or more other features, integrals, steps, operations, elements, components and / or collections thereof.

[0018] It should also be understood that the term “and / or” as used in this specification and the appended claims refers to any combination of one or more of the associated listed items and all possible combinations, and includes such combinations.

[0019] As used in this specification and the appended claims, the term "if" may be interpreted, depending on the context, as "when," "once," "in response to determination," or "in response to detection." Similarly, the phrase "if determined" or "if [described condition or event] is detected" may be interpreted, depending on the context, as meaning "once determined," "in response to determination," "once [described condition or event] is detected," or "in response to detection of [described condition or event]."

[0020] Furthermore, in the description of this invention and the appended claims, the terms "first," "second," "third," etc., are used only to distinguish descriptions and should not be construed as indicating or implying relative importance.

[0021] References to "one embodiment" or "some embodiments" as described in this specification mean that one or more embodiments of the invention include a specific feature, structure, or characteristic described in connection with that embodiment. Therefore, the phrases "in one embodiment," "in some embodiments," "in other embodiments," "in still other embodiments," etc., appearing in different parts of this specification do not necessarily refer to the same embodiment, but rather mean "one or more, but not all, embodiments," unless otherwise specifically emphasized. The terms "comprising," "including," "having," and variations thereof mean "including but not limited to," unless otherwise specifically emphasized.

[0022] The present invention will be further described in detail below with reference to specific embodiments, but the implementation of the present invention is not limited thereto.

[0023] Figure 1 The diagram shown illustrates an implementation flowchart of a method for generating precise fully polarized interference waveforms based on constant modulus constraints, according to an embodiment of the present invention. This method is intended as an example, not a limitation, and can be applied to jammers. The method may include steps S101-S102, which are described below.

[0024] S101, multiply the received beam weight by the received signal to recover the radar angular domain signal, and obtain two polarization signals.

[0025] In one example, if the jammer is activated for the first time, angle measurement can be performed on the fully polarized electronic interceptor (EIA) to intercept the received signal before acquiring the two polarized signals, and the receiving beam weight of the fully polarized EIA can be calculated. The fully polarized EIA can be a component of the jammer.

[0026] For example, the beam weights of a fully polarized electronic interceptor can satisfy the following formula:

[0027]

[0028] The beam weights for a fully polarized electron interceptor. The array polarization beam matrix of the fully polarized electron interceptor. The angle of arrival for the array-received signal of a fully polarized electronic interceptor. This indicates the conjugate transpose operation. This indicates the inverse operation.

[0029] In one example, if the jammer has been activated and the beam weights are known, the beam weights can be directly multiplied by the received signal to obtain the two polarized signals. ,in, To recover the radar angular domain signal in the horizontal polarization dimension, To recover the radar angular domain signal in the vertical polarization dimension.

[0030] For example, the received signal can be transmitted by a fully polarized radar, while a fully polarized electronic interceptor and jammer are considered jammers.

[0031] S102. Based on the response matrix of the fully polarized radar array, the transmitted signal of the fully polarized jammer, the two polarized signals, and the simulated polarization scattering matrix, the recovered radar angular domain signal is polarized and modulated using the polarization scattering matrix to determine the design model of the jammer's transmitted signal.

[0032] In one possible implementation, an optimization problem for the jammer's transmitted signal is constructed based on the jammer's fully polarized radar array response matrix, the fully polarized jammer's transmitted signal, the two polarized signals, and the simulated polarization scattering matrix, thus obtaining a design model for the jammer's transmitted signal against the fully polarized radar.

[0033] For example, the design model of the jammer's transmitted signal satisfies the constant modulus constraint, which can specifically satisfy the following formula:

[0034]

[0035] in, This indicates interference with the transmitted signal. For the jammer i Gain and phase information for each transmit channel, This represents the number of signals transmitted by the jammer. As a unit array, For two polarization signals, Indicates the Kronecker product. For the jammer i Simulated interference polarization scattering vectors for each transmission channel. The response matrix of a fully polarimetric radar array. , The jammer's firsti One transmitted signal.

[0036] The polarization scattering matrix simulated in the design model of the jammer's transmitted signal ( It can polarize the radar angular domain signal to approximate the real target echo and target polarization scattering matrix.

[0037] In one example, if the jammer includes... The first transmitting antenna, the second The polarization of the transmit beam of each antenna is , Then the response matrix of the fully polarimetric radar array can satisfy the following formula:

[0038]

[0039] in, , for the purpose The polarized transmit beams of each transmit antenna are constructed as an array polarized transmit beam matrix using row vectors. To guide the jammer's array appropriately, The spatial angle between the jammer and the fully polarized radar (i.e., the jammed side).

[0040] In one example, if the jammer can transmit... Each interference transmission signal is composed of [number] interference transmission signals. Each phase-coded signal Composition, then based on The phase-encoded signal is used to construct the row vector. A fully polarized jammer transmits a signal. The following formula can be satisfied:

[0041]

[0042] in, Indicates the first Each phase-coded signal The number of code elements included.

[0043] S103 iteratively solves the design model of the jammer's transmitted signal to generate a fully polarized jamming waveform for the fully polarized radar.

[0044] For example, the initial interference transmission signal can be set based on an optimization algorithm. Convergence threshold objective function The design model of the jammer's transmitted signal is iteratively solved to generate a fully polarized jamming waveform for the fully polarized radar.

[0045] According to the method provided by this invention, polarimetric modulation of the recovered radar angular domain signal is performed using a polarimetric scattering matrix, and the constructed jammer transmission signal design model is solved. This enables the generation of a fully polarimetric jamming waveform, thereby avoiding the problem of easy identification of single-polarimetric jamming signals and improving the jamming capability against fully polarimetric radars. Furthermore, by solving the transmission signal design model based on an optimization algorithm, a high-precision fully polarimetric jamming waveform can be obtained with lower computational complexity.

[0046] Figure 2 The diagram illustrates an iterative solution method for a transmission signal design model provided by an embodiment of the present invention. As an example and not a limitation, this iterative solution method can be a possible specific implementation of step S103 in the waveform generation method described above. This iterative solution method may include steps S201-S203, which are described below.

[0047] S201, according to the... l The interference transmission signal and the solution of the diagonal matrix after round of iterations l Interference transmission signal after +1 iteration.

[0048] For example, l It is a non-negative integer, and the interference transmission signal after the 0th iteration is the preset initial interference transmission signal.

[0049] In one possible implementation, the solution can be obtained based on the interference signal update model. l Interference transmission signal after +1 iteration.

[0050] For example, the interference signal update model can satisfy the following formula:

[0051]

[0052] in, For the first l Interference transmission signal after +1 iteration The imaginary unit, It is a diagonal matrix. The largest eigenvalue of the diagonal matrix. As a unit array, For the first l Interference transmission signal after round iteration.

[0053] In one example, a diagonal matrix can be a matrix with the i-th quadratic form matrix as the i-th element on the main diagonal.

[0054] For example, a diagonal matrix can satisfy the following formula:

[0055]

[0056] in, Let be the i-th quadratic form matrix.

[0057] For example, the i-th quadratic matrix can satisfy the following formula:

[0058]

[0059] in, Let i be the i-th quadratic form matrix. , This represents the number of signals transmitted by the jammer. As a unit array, For two polarization signals, Indicates the Kronecker product. For the jammer i Simulated interference polarization scattering vectors for each transmission channel. This is the response matrix of a fully polarized radar array.

[0060] S202, determine the first l +1 criterion value to determine if it is greater than the convergence threshold.

[0061] In one example, if the first l If the +1 decision value is greater than the convergence threshold, it indicates that the th... l The interference transmission signal after +1 iteration did not meet the requirements, so it can be made l=l +1 Proceed to step S201 and continue iterating.

[0062] For example, the first l +1 judgment value is the first l +1 objective function value and the first l The absolute value of the difference between the nth objective function values, the th l +1 objective function value is the first l The objective function value of the interfering transmitted signal after +1 iterations, the th l The objective function value is the th . l The objective function value of the interference transmitted signal after round iteration.

[0063] Alternatively, it can be done by determining the first l The determination is made by whether the +1 decision value satisfies the constraints of the following formula. l +1 criterion value: Is it greater than the convergence threshold?

[0064]

[0065] in, For the first l The objective function value, For the first l+1 objective function value.

[0066] In one example, if the first l If one of the judgment values ​​is less than or equal to the convergence threshold, then step S203 can be performed.

[0067] S203, the first l The interference transmission signal after +1 iteration is used as the waveform of the fully polarized interference signal.

[0068] By solving the design model of the transmitted signal based on the optimization algorithm, a high-precision fully polarized interference waveform can be obtained with low computational complexity.

[0069] Figure 3 The diagram shown illustrates the structure of a jammer according to an embodiment of the present invention. As an example and not a limitation, the jammer 300 may include a received signal processing unit 310, a model adaptation unit 320, and an iterative solution unit 330.

[0070] In one possible implementation, the receiving signal processing unit 310 is used to multiply the received beam weights with the received signal to recover the radar angular domain signal, obtaining two polarized signals, wherein the received signal is transmitted by the fully polarized radar; the model adaptation unit 320 is used to determine the transmission signal design model of the jammer based on the fully polarized radar array response matrix, the transmitted signal of the fully polarized jammer, the two polarized signals, and the simulated polarization scattering matrix; the iterative solution unit 330 is used to iteratively solve the transmission signal design model of the jammer to generate a fully polarized jamming signal waveform for the fully polarized radar.

[0071] In one example, the design model for the jammer's transmitted signal satisfies the following formula:

[0072]

[0073] in, This indicates interference with the transmitted signal. For the jammer i Gain and phase information for each transmit channel, This represents the number of signals transmitted by the jammer. As a unit array, For two polarization signals, Indicates the Kronecker product. For the jammer i Simulated interference polarization scattering vectors for each transmission channel. The response matrix of a fully polarimetric radar array. , The jammer's first i Interference transmission signal.

[0074] In one example, the iterative solution unit is specifically used for:

[0075] According to the l The interference transmission signal and the solution of the diagonal matrix after round of iterations l The interference transmission signal after +1 iteration, where, l It is a non-negative integer, and the interference transmission signal after the 0th iteration is the preset initial interference transmission signal;

[0076] Determine the first l +1 Decision value is greater than the convergence threshold, where the ... l +1 judgment value is the first l +1 objective function value and the first l The absolute value of the difference between the nth objective function values, the th l +1 objective function value is the first l The objective function value of the interfering transmitted signal after +1 iterations, the th l The objective function value is the th . l The objective function value of the interference transmitted signal after round iteration;

[0077] If the first l If the +1 judgment value is greater than the convergence threshold, the iterative solution for the interference transmission signal continues. l If the +1 decision value is equal to or greater than the convergence threshold, then the first... l The interference transmission signal after +1 iteration is used as the fully polarized interference waveform.

[0078] In one example, the diagonal matrix is ​​based on the first... i The quadratic matrix is ​​the nth quadratic matrix on the main diagonal. i A matrix with n elements, the nth element i A quadratic matrix satisfies the following formula:

[0079]

[0080] in, For the first i A quadratic matrix, , This represents the number of signals transmitted by the jammer. As a unit array, For two polarization signals, Indicates the Kronecker product. For the jammer i Simulated interference polarization scattering vectors for each transmission channel. This is the response matrix of a fully polarized radar array.

[0081] In one example, the first lThe interference transmission signal after +1 iteration is determined based on the interference signal update model, which satisfies the following formula:

[0082]

[0083] in, For the first l Interference transmission signal after +1 iteration The imaginary unit, It is a diagonal matrix. The largest eigenvalue of the diagonal matrix. As a unit array, For the first l Interference transmission signal after round iteration.

[0084] To better illustrate the beneficial effects of the present invention, the following simulation experiments were conducted:

[0085] For example, the software platform for conducting the simulation experiment can be Windows 10 Professional Edition, 64-bit operating system, and MATLAB R2020a. The relevant parameters can be set as follows: the jammer has 6 transmitting antennas, 128 transmitted phase-coded signal symbols, and the jammer contains 2, 6, and 10 receiving antennas respectively.

[0086] To quantitatively analyze the deception jamming effect of a jammer on a fully polarized radar, a correlation coefficient can be used to describe the similarity between the jammer's target jamming transmission signal and the jammer's actual jamming transmission signal.

[0087] For example, the correlation coefficient can satisfy the following formula:

[0088]

[0089] in, for and The correlation coefficient between them This represents the expected value. When the correlation coefficient is 1, and When they are exactly the same, the correlation coefficient is 0. and Irrelevant.

[0090] Under the above simulation conditions, the correlation coefficients between the actual signal received by the fully polarimetric radar and the jamming transmitted signal of the jammer, and the correlation coefficients between the polarization scattering matrix of the fully polarimetric radar received signal and the polarization scattering matrix simulated by the jammer are shown in Table 1 below.

[0091] Table 1

[0092]

[0093] Referring to Table 1, it can be seen that when the number of transmitting antennas of the jammer is different, the correlation coefficients between the real and imaginary parts of the signal are close to 1, and the correlation coefficient of the polarization scattering matrix is ​​also close to 1. The jammer's transmitted signal has extremely high deceptiveness, indicating that the method provided here can generate fully polarized jamming signal waveforms that are not easy to identify.

[0094] Therefore, according to the method provided by the present invention, the recovered radar angular domain signal is polarized by a simulated polarization scattering matrix, and the constructed jammer transmission signal model is solved by an optimization algorithm, thereby generating a fully polarized jamming waveform. This avoids the problem that single-polarization jamming signals are easily identified and improves the jamming capability against fully polarized radar.

[0095] In the above embodiments, the descriptions of each embodiment have different focuses. For parts that are not described in detail or recorded in a certain embodiment, please refer to the relevant descriptions of other embodiments.

Claims

1. A method for generating fully polarized precise interference waveforms based on constant modulus constraints, characterized in that, Applied to a jammer, the method includes: The received beam weight is multiplied by the received signal to recover the radar angular domain signal, resulting in two polarized signals, wherein the received signal is transmitted by a fully polarized radar. Based on the response matrix of the fully polarized radar array, the transmitted signal of the fully polarized jammer, and the two polarized signals, the two polarized signals are polarized and modulated using the polarization scattering matrix to determine the design model of the jammer's transmitted signal. The design model of the jammer's transmitted signal is iteratively solved to generate a fully polarized jamming waveform for the fully polarized radar; The design model for the jammer's transmitted signal satisfies the following formula: in, This indicates interference with the transmitted signal. For the jammer i Gain and phase information for each transmit channel, The number of signals transmitted by the jammer. As a unit array, For the two polarization signals, Indicates the Kronecker product. For the jammer i Simulated interference polarization scattering vectors for each transmission channel. The response matrix of the fully polarimetric radar array is... , The jammer's first i Interference transmission signal.

2. The method according to claim 1, characterized in that, The iterative solution of the design model for the jammer's transmitted signal to generate a fully polarized jamming signal waveform for the fully polarized radar includes: According to the l The interference transmission signal and the solution of the diagonal matrix after round of iterations l The interference transmission signal after +1 iteration, where, l It is a non-negative integer, and the interference transmission signal after the 0th iteration is the preset initial interference transmission signal; Determine the first l +1 Decision value is greater than the convergence threshold, wherein the first l +1 judgment value is the first l +1 objective function value and the first l The absolute value of the difference between the nth objective function values, the nth l +1 objective function value is the first l The objective function value of the interference transmitted signal after +1 iterations, the first... l The objective function value is the first... l The objective function value of the interference transmitted signal after round iteration; If the first l If the +1 judgment value is greater than the convergence threshold, the interference transmission signal is iteratively solved. l If +1 judgment value is less than or equal to the convergence threshold, then the first... l The interference transmission signal after +1 iterations is used as the fully polarized interference waveform.

3. The method according to claim 2, characterized in that, The diagonal matrix is ​​based on the first... i The quadratic matrix is ​​the nth quadratic matrix on the main diagonal. i The matrix with n elements, the nth element i A quadratic matrix satisfies the following formula: in, For the first i A quadratic matrix, , The number of signals transmitted by the jammer. As a unit array, For the two polarization signals, Indicates the Kronecker product. For the jammer i Simulated interference polarization scattering vectors for each transmission channel. is the response matrix of the fully polarized radar array.

4. The method according to claim 2, characterized in that, The first l The interference transmission signal after +1 iterations is determined based on the interference signal update model, which satisfies the following formula: in, For the first l Interference transmission signal after +1 iteration The imaginary unit, Let be the diagonal matrix. The largest eigenvalue of the diagonal matrix is... As a unit array, For the first l Interference transmission signal after round iteration.

5. A jamming device, characterized in that, include: A receiving signal processing unit is used to multiply the received beam weight with the received signal to recover the radar angular domain signal and obtain two polarization signals, wherein the received signal is transmitted by a fully polarimetric radar. The model adaptive unit determines the design model of the jammer's transmission signal by polarizing the two polarized signals using the polarization scattering matrix, based on the response matrix of the fully polarized radar array, the transmitted signal of the fully polarized jammer, and the two polarized signals. An iterative solution unit is used to iteratively solve the design model of the jammer's transmitted signal to generate a fully polarized jamming waveform for the fully polarized radar. The design model for the jammer's transmitted signal satisfies the following formula: in, This indicates interference with the transmitted signal. For the jammer i Gain and phase information for each transmit channel, The total number of transmission channels of the jammer. As a unit array, For the two polarization signals, Indicates the Kronecker product. For the jammer i Simulated interference polarization scattering vectors for each transmission channel. The response matrix of the fully polarimetric radar array is... , The jammer's first i Interference transmission signal.

6. The jammer according to claim 5, characterized in that, The iterative solution unit is specifically used for: According to the l The interference transmission signal and the solution of the diagonal matrix after round of iterations l The interference transmission signal after +1 iteration, where, l It is a non-negative integer, and the interference transmission signal after the 0th iteration is the preset initial interference transmission signal; Determine the first l +1 Decision value is greater than the convergence threshold, wherein the first l +1 judgment value is the first l +1 objective function value and the first l The absolute value of the difference between the nth objective function values, the nth l +1 objective function value is the first l The objective function value of the interference transmitted signal after +1 iterations, the first... l The objective function value is the first... l The objective function value of the interference transmitted signal after round iteration; If the first l If the +1 judgment value is greater than the convergence threshold, the interference transmission signal is iteratively solved. l If +1 judgment value is equal to or greater than the convergence threshold, then the first... l The interference transmission signal after +1 iterations is used as the fully polarized interference waveform.

7. The jammer according to claim 6, characterized in that, The diagonal matrix is ​​based on the first... i The quadratic matrix is ​​the nth quadratic matrix on the main diagonal. i The matrix with n elements, the nth element i A quadratic matrix satisfies the following formula: in, For the first i A quadratic matrix, , The number of signals transmitted by the jammer. As a unit array, For the two polarization signals, Indicates the Kronecker product. For the jammer i Simulated interference polarization scattering vectors for each transmission channel. is the response matrix of the fully polarized radar array.

8. The jammer according to claim 6, characterized in that, The first l The interference transmission signal after +1 iterations is determined based on the interference signal update model, which satisfies the following formula: in, For the first l Interference transmission signal after +1 iteration The imaginary unit, Let be the diagonal matrix. The largest eigenvalue of the diagonal matrix is... As a unit array, For the first l Interference transmission signal after round iteration.

Images