Anti-sorting method and device based on high-pulse-pressure side lobe features

Abstract

The invention discloses an anti-sorting method and device based on high pulse pressure sidelobe features. The method comprises the following steps: calculating an optimal first phase enabling the integral sidelobe level of a template signal to be maximum, and / or an optimal second phase enabling the minimum value of an autocorrelation sidelobe of the template signal to be maximum; a phase disturbance matrix is calculated, phase disturbance is added to the initial signal based on the phase disturbance matrix, so that a signal intercepted by the electronic support equipment ESM approaches a combined template signal, a disturbed initial signal is obtained, and the combined template signal is composed of a plurality of template signals with the phases being the optimal first phase and / or the optimal second phase; and transmitting the disturbed initial signal to enable the ESM to intercept a signal with a high pulse pressure sidelobe feature. The anti-sorting capability and the anti-interference capability of the transmitted signal provided by the invention are relatively good.

Description

Technical Field

[0001] The present invention belongs to the technical field of radar waveform design, and in particular relates to an anti-sorting method and device based on high pulse pressure sidelobe characteristics. Background Art

[0002] In radar waveform design, countering the signal sorting and identification capabilities of jammers' Electronic Support Measures (ESM) is a core challenge in improving radar survivability. For a long time, mainstream radar anti-sorting waveform design has primarily focused on designing a cover signal so that the pulse repetition interval (PRI) of the combined cover signal and radar signal no longer reflects the distinct characteristics of a single radar signal, achieving an anti-sorting waveform based on a PRI sorting mechanism. However, waveforms designed using this approach still exhibit significant low-pulse-compression sidelobe characteristics. With the rapid advancement of radar technology, these inherently low-pulse-compression sidelobe characteristics are easily identified and transmitted to jammers by reconnaissance equipment, resulting in poor anti-sorting capabilities for traditional technologies. Summary of the Invention

[0003] The embodiments of the present invention provide an anti-sorting method and device based on high pulse pressure sidelobe characteristics, which can solve the above technical problems.

[0004] In a first aspect, an embodiment of the present invention provides an anti-sorting method based on high pulse pressure sidelobe characteristics, the method comprising: Calculating an optimal first phase that maximizes the template signal integrated sidelobe level, and / or an optimal second phase that maximizes the minimum value of the template signal autocorrelation sidelobe; Calculating a phase perturbation matrix, and adding phase perturbation to an initial radar signal based on the phase perturbation matrix to make a signal intercepted by an electronic support device (ESM) approach a combined template signal, thereby obtaining a perturbed initial signal, wherein the combined template signal is composed of a plurality of template signals having the optimal first phase and / or the optimal second phase; The disturbed initial signal is transmitted to enable the ESM to intercept a signal with a high pulse pressure sidelobe characteristic.

[0005] In a second aspect, an embodiment of the present invention provides an anti-sorting device based on high pulse pressure sidelobe characteristics, comprising: A high pulse pressure sidelobe calculation module, the high pulse pressure sidelobe calculation module is used to calculate an optimal first phase that maximizes the integrated sidelobe level of the template signal and / or an optimal second phase that maximizes the minimum value of the autocorrelation sidelobe of the template signal; a phase perturbation calculation module, the phase perturbation calculation module being configured to calculate a phase perturbation matrix and, based on the phase perturbation matrix, add phase perturbation to an initial radar signal so as to make a signal intercepted by an electronic support device (ESM) approach a combined template signal, thereby obtaining a perturbed initial signal, wherein the combined template signal is composed of a plurality of template signals having phases equal to the optimal first phase and / or the optimal second phase; A transmitting module is used to transmit the disturbed initial signal so that the ESM intercepts a signal with a high pulse pressure sidelobe feature.

[0006] In a third aspect, an embodiment of the present invention provides an electronic device comprising a processor and a memory, wherein the memory is used to store computer programs; the processor can be used to execute the computer program (instructions) stored in the memory to implement the method of the first aspect above.

[0007] In a fourth aspect, an embodiment of the present invention provides a computer-readable storage medium, in which a computer program is stored. When the computer program is executed, the method of the first aspect described above can be implemented.

[0008] It can be understood that the beneficial effects of the second to fourth aspects mentioned above can be found in the relevant description of the first aspect mentioned above, and will not be repeated here.

[0009] Compared with the prior art, the embodiments of the present invention have the following beneficial effects: the present invention first designs a template signal with high pulse pressure sidelobe characteristics, then applies phase perturbation to the initial signal, and transmits the perturbed initial signal, so that the signal intercepted by the ESM approaches the template signal, so that the ESM of the interfering party intercepts a signal with high pulse pressure sidelobe characteristics. Due to the recognition that radar signals have low pulse pressure sidelobe characteristics, the ESM of the interfering party will misjudge the signal and mistakenly regard the transmitted signal as a non-radar signal, thereby not performing sorting interference on it; therefore, the present invention has good anti-sorting and anti-interference capabilities. At the same time, the present invention improves the anti-sorting capability by first designing the template signal and then applying phase perturbation to the initial signal, rather than directly designing the intercepted signal of the ESM, so the computational complexity is low and the signal transmission efficiency is high. BRIEF DESCRIPTION OF THE DRAWINGS

[0010] Figure 1 A schematic diagram of an anti-sorting scenario provided by an embodiment of the present invention; Figure 2 A flowchart for implementing an anti-sorting method based on high pulse pressure sidelobe characteristics provided by an embodiment of the present invention; Figure 3 A flowchart of a method for determining an optimal first phase provided by an embodiment of the present invention; Figure 4A schematic diagram of the autocorrelation level of a template signal having an optimal first phase provided by an embodiment of the present invention; Figure 5 A flowchart of a method for determining an optimal second phase provided by an embodiment of the present invention; Figure 6 A schematic diagram of the autocorrelation level of a template signal having an optimal second phase provided by an embodiment of the present invention; Figure 7 A schematic structural diagram of an anti-sorting device based on high pulse pressure sidelobe characteristics provided by an embodiment of the present invention; Figure 8a 、 Figure 8b A schematic diagram of the directional pattern and autocorrelation side lobes of an initial signal provided by an embodiment of the present invention; Figure 9 A schematic diagram of the autocorrelation level of the ESM intercepted signal before and after the disturbance provided by an embodiment of the present invention; Figure 10a 、 Figure 10b The embodiment of the present invention provides an initial signal and a transmission pattern of the disturbed initial signal, Schematic diagram of the autocorrelation level of the angular domain signal at ; Figure 11 A schematic diagram of the autocorrelation level of an ESM intercepted signal of an interfering party before and after disturbance provided by another embodiment of the present invention; Figure 12a 、 Figure 12b Another transmission pattern of an initial signal and a disturbed initial signal provided by an embodiment of the present invention, Schematic diagram of the autocorrelation level of the angular domain signal at ; Figure 13 A schematic structural diagram of an electronic device provided by an embodiment of the present invention. DETAILED DESCRIPTION

[0011] In the following description, specific details such as particular system structures and techniques are provided for purposes of illustration, not limitation, to facilitate a thorough understanding of the embodiments of the present invention. However, it will be apparent to those skilled in the art that the present invention may be practiced in other embodiments without these specific details. In other cases, detailed descriptions of well-known systems, devices, circuits, and methods are omitted so as not to obscure the description of the present invention with unnecessary detail.

[0012] It should be understood that when used in the present specification and the appended claims, the term "comprising" indicates the presence of described features, integers, steps, operations, elements and / or components, but does not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components and / or groups thereof.

[0013] It will also be understood that the term "and / or" used in the present description and appended claims refers to and includes any and all possible combinations of one or more of the associated listed items.

[0014] As used in the present specification and the appended claims, the term "if" may be interpreted as "when" or "upon" or "in response to determining" or "in response to detecting," depending on the context. Similarly, the phrase "if it is determined" or "if [described condition or event] is detected" may be interpreted as meaning "upon determination" or "in response to determining" or "upon detection of [described condition or event]" or "in response to detecting [described condition or event]," depending on the context.

[0015] In addition, in the description of the present specification and the appended claims, the terms "first", "second", "third", etc. are only used to distinguish the descriptions and cannot be understood as indicating or implying relative importance.

[0016] References to "one embodiment" or "some embodiments" in the present specification mean that a particular feature, structure, or characteristic described in conjunction with that embodiment is included in one or more embodiments of the present invention. Thus, phrases such as "in one embodiment," "in some embodiments," "in other embodiments," and "in yet other embodiments" appearing in various places in 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 "including," "comprising," "having," and variations thereof mean "including but not limited to," unless otherwise specifically emphasized.

[0017] The present invention will be further described in detail below with reference to specific examples, but the embodiments of the present invention are not limited thereto.

[0018] Example 1 Figure 1 The figure shows a schematic diagram of an interaction scenario between a radar and an ESM provided by an embodiment of the present invention.

[0019] As an example, see Figure 1First, a template signal with high pulse pressure sidelobe characteristics is designed. Then, phase perturbations are added to the initial signal output by a Multiple-Input Multiple-Output (MIMO) radar, and the perturbed initial signal is transmitted. This allows the signal intercepted by the jammer to approximate the designed template signal. This allows the jammer's ESM to intercept signals with high pulse pressure sidelobe characteristics. Because traditional radar signals generally have low pulse pressure sidelobe characteristics, the jammer's ESM will classify received signals with high pulse pressure sidelobe characteristics as other signals and will not sort them out before sending them to the jammer. This achieves anti-sorting and improves the radar's anti-sorting and anti-interference capabilities.

[0020] For example, a centralized MIMO radar has The antennas are arranged in a uniform linear array with half-wave spacing. Each antenna transmits a phase-coded signal with a chip length of , then the initial signal can be expressed as ,in, (Right now The i-th column vector of represents the transmitted signal of the i-th antenna of the MIMO radar (i.e., the i-th phase-coded signal).

[0021] For example, when no phase perturbation is performed, the signal intercepted by the ESM in the far field of the sidelobe region of the radar waveform emission pattern can satisfy the following formula: (1.1) in, The signal intercepted by ESM is is the matrix composed of the steering vectors in the ESM direction, express The launch steering vector in the direction, j is an imaginary unit, represents the normalized angular frequency, Indicates the angle between the ESM device and the antenna normal direction, Indicates the The signal was intercepted by an ESM.

[0022] Therefore, the The autocorrelation sidelobes of the signal intercepted by the ESM Can satisfy the formula: ,in, is the shift matrix.

[0023] Example 2 The anti-sorting method based on high pulse pressure sidelobe characteristics provided by the embodiment of the present invention can be applied to devices with processing and signal transmission functions, such as radar systems. The embodiment of the present invention does not impose any restrictions on the specific type of such devices.

[0024] In some embodiments, to increase the autocorrelation sidelobes of the signal intercepted by the ESM, one approach is to increase the minimum value of the autocorrelation sidelobes of the intercepted signal, thereby increasing the level of all sidelobes. Another approach is to increase the integrated sidelobe level of the intercepted signal. Therefore, the autocorrelation sidelobes of the signal intercepted by the ESM can be optimized based on the optimization models shown in the following equations (1.2) and (1.3), respectively, so that the signal intercepted by the ESM exhibits high pulse pressure sidelobe characteristics.

[0025] (1.2) (1.3) in, Indicates the initial signal transmitted by the radar phase.

[0026] However, due to the constant modulus constraint of the radar's transmitted signal, directly optimizing the autocorrelation sidelobes of the ESM intercepted signal has the disadvantages of being computationally intensive and difficult to design online. Furthermore, as shown in formula (1.1), the signal intercepted by the ESM is not directly equivalent to the radar's transmitted signal. Therefore, the present invention first constructs a template signal with high pulse pressure sidelobe characteristics, then adjusts the initial signal through phase perturbation and transmits the perturbed initial signal, thereby making the signal intercepted by the interfering ESM approximate the designed template signal with high pulse pressure sidelobe characteristics. This method reduces the computational complexity of the design process and enables online design of the sorting waveform intercepted by the ESM.

[0027] Therefore, the design problem of the autocorrelation sidelobe of the ESM intercepted signal can be transformed into: (1.4) in, is the phase perturbation matrix, For the The amplitude weighted value of the template signal, Represents a combined template signal, After adding phase perturbation The signal is intercepted by an ESM.

[0028] By calculating separately and The online design of the sorting waveform intercepted by ESM can be realized.

[0029] Figure 2 The flowchart shown is an implementation flow of an anti-sorting method based on high pulse pressure sidelobe characteristics provided by an embodiment of the present invention. As an example and not a limitation, the method may include steps S201-S204, each of which is described below.

[0030] S201 , calculating an optimal first phase that maximizes the template signal integrated sidelobe level and / or an optimal second phase that maximizes the template signal autocorrelation sidelobe minimum.

[0031] In a possible implementation, the maximum integrated sidelobe level can be taken as the optimization goal, and , the problem of maximizing the integrated sidelobe level is transformed into The minimization problem is ; Afterwards, construct column variables , will ask The minimization problem is transformed into a consistency problem, and a first optimization model is obtained. The first optimization model is solved to obtain the optimal first phase for the template signal integrated sidelobe level.

[0032] Exemplarily, the first optimization model may satisfy the following formula: (1.5) in, , is the autocorrelation sidelobe of the template signal at k distance shifts, is the kth intermediate subvariable, K The total number of side lobes to be optimized in the template signal autocorrelation level, Indicates the phase of the template signal.

[0033] Specifically, the integrated sidelobe level of K distance units is The following formula can be satisfied: (1.6) in, .

[0034] In one example, the first optimization model may be iteratively solved based on a Lagrangian optimization algorithm to obtain the optimal first phase.

[0035] In one possible implementation, the problem of maximizing the sidelobe minimum can be similarly transformed into the problem of minimizing The problem is about Transformed into the second optimization model ; Afterwards, the second optimization model is solved to obtain the optimal second phase.

[0036] In one example, the second optimization model may be iteratively optimized using a Sequential Quadratic Programming (SQP) algorithm to obtain the optimal second phase.

[0037] S202, calculate the phase perturbation matrix.

[0038] In some embodiments, the purpose of phase perturbation is to make the signal intercepted by the interfering ESM close to the combined template signal with high pulse pressure sidelobe characteristics. Based on this, a third optimization model can be constructed for optimization to obtain a phase perturbation matrix.

[0039] Exemplarily, the combined template signal may be composed of multiple template signals whose phases are the optimal first phase and / or the optimal second phase.

[0040] Specifically, the combined template signal can satisfy the following formula: (1.7) in, is the combined template signal, For the The amplitude weighted value of the template signal, when hour, is the template signal with the optimal first phase, when hour, is a template signal with a phase equal to the optimal second phase.

[0041] It should be understood that if the combined template signal is only composed of If the combined template signal is composed of If the combined template signal is composed of and Then, step S201 calculates the optimal first phase and the optimal second phase simultaneously.

[0042] In one possible implementation, after phase perturbation, The first ESM intercepts the signal The code chips can be expressed as ,in, It can be seen that when the value of the kth row of the phase perturbation matrix When smaller, , No. The angular domain signal obtained by an ESM device intercepting the initial signal after disturbance It can be approximately transformed from a non-convex form to a linear form. Therefore, we can increase The constraint condition is less than the set threshold, and the third optimization model is solved to reduce the amount of calculation.

[0043] For example, at this time, The signal intercepted by an ESM can be expressed as , for The The value of an element.

[0044] Similarly, if the matrix The form of the signal intercepted by ESM after the disturbance is expressed as is a matrix The kth row vector of for No. column vectors.

[0045] In one example, the The third optimization model is optimized under the constraint condition that the phase perturbation matrix is ​​obtained.

[0046] Exemplarily, the third optimization model may satisfy the following formula: (1.8) in, is the kth row vector of the ESM intercepted signal after disturbance, which is constrained to approximate the combined template signal, where k is less than or equal to A positive integer, , for The sum of all the lines, Combination template signal The k-th row vector of .

[0047] For example, the equality constraint of the third optimization model can be differentiated according to the real part and the imaginary part to obtain: 、 ; Then, based on the splitting results, the calculation formula of the phase perturbation matrix is ​​obtained:

[0048] in: (1.9) (1.10) in, is the kth row vector of the phase perturbation matrix, Indicates template signal The phase, represents the L2 norm; 、 for The full rank decomposition of ; , is the steering vector matrix in the ESM direction; The first A column vector consisting of row elements, represents the imaginary part, represents the real part.

[0049] S203 , adding phase perturbation to the initial signal based on the phase perturbation matrix to make the signal intercepted by the ESM close to the combined template signal, thereby obtaining the perturbed initial signal.

[0050] For example, the initial signal and Multiply to get the initial signal after disturbance.

[0051] S204: Transmit the disturbed initial signal to enable the ESM to intercept the signal with high pulse pressure sidelobe characteristics.

[0052] The present invention first designs a template signal with high pulse pressure sidelobe characteristics, then applies phase perturbation to the initial signal, and transmits the perturbed initial signal, so that the signal intercepted by the ESM approaches the template signal, so that the interfering ESM intercepts a signal with high pulse pressure sidelobe characteristics. Due to the recognition that radar signals have low pulse pressure sidelobe characteristics, the interfering ESM will misjudge the signal and mistakenly regard the transmitted signal as a non-radar signal, thereby not performing sorting interference on it; therefore, the present invention has good anti-sorting and anti-interference capabilities. At the same time, the present invention improves the anti-sorting capability by first designing the template signal and then applying phase perturbation to the initial signal, rather than directly designing the intercepted signal of the ESM, which has low computational complexity and high signal transmission efficiency.

[0053] Example 3 In some embodiments, an augmented Lagrangian function may be constructed first, and then an iterative model of the intermediate sub-variable and the first phase may be constructed based on the augmented Lagrangian function. Finally, the model may be solved to obtain update formulas for the two parameters.

[0054] For example, the augmented Lagrangian function may satisfy the following formula: (1.11) (1.12) in, is the penalty factor.

[0055] Exemplarily, the iterative models of the intermediate sub-variable and the first phase can respectively satisfy the following formulas: (1.13) (1.14) in, is the Lagrange multiplier after the nth iteration, , is the intermediate subvariable after the n+1th iteration, is the first phase after the n+1th iteration, Indicates the phase of the template signal.

[0056] In one possible implementation, since the iterative model of the first phase is about is a convex function, so we can find the stationary point of the model and get ; Then, the iterative formula of the first phase is constructed based on this.

[0057] In one example, the iterative formula of the first phase may satisfy the following formula: (1.15) in, is the first phase after the n+1th iteration, is the Lagrange multiplier after the nth iteration, is the penalty factor, is the intermediate subvariable after the nth iteration.

[0058] In a possible implementation, similarly, an upper bound convex function can be constructed for the iterative model of the intermediate subvariable, and the stationary point of the convex function can be found; and the iterative formula of the intermediate subvariable can be constructed based on the found stationary point.

[0059] For example, the upper bound convex function can be expressed as: (1.16) For example, by formula The stationary point of the upper-bounded convex function can be found: (1.17) In one example, the iteration formula of the intermediate subvariable may satisfy the following formula: (1.18) in: (1.19) because: (1.20) but: (1.21) in , is the chip length of the template signal, for Middle The value of the element, represents the real part.

[0060] Specifically, the first optimization model can be iteratively solved based on the Lagrangian optimization algorithm by the following method.

[0061] Figure 3 The flowchart shown is a method for determining a first phase encoding vector according to an embodiment of the present invention. As an example and not a limitation, the method may be a possible specific implementation of step S201 described above. The method may include steps S301-S305, each of which is described below: S301 : Determine the first phase after the (n+1)th iteration according to the first phase after the nth iteration, the Lagrange multiplier after the nth iteration, and the intermediate subvariable after the nth iteration.

[0062] For example, n is a positive integer, when n=1, the overall variable , each subvariable , the Lagrange multiplier vector , , , the objective function value .

[0063] Specifically, the first phase after the (n+1)th iteration may be determined based on the above formula (1.14).

[0064] S302 : Determine an intermediate sub-variable after the (n+1)th iteration according to the first phase after the (n+1)th iteration and the Lagrange multiplier after the nth iteration.

[0065] Specifically, the intermediate sub-variable after the (n+1)th iteration can be determined according to the above formula (1.18).

[0066] S303, according to the first phase after the n+1th iteration, the intermediate sub-variable after the n+1th iteration, The Lagrange multiplier after the nth iteration is determined, and the Lagrange multiplier after the n+1th iteration is determined.

[0067] Specifically, according to the formula Determine the Lagrange multiplier after iteration n+1.

[0068] S304: Determine whether a convergence condition is met.

[0069] In one example, it can be determined that 、 Is the absolute value of the difference between the target value and the target value less than the preset convergence threshold, such as 10 -4 If it is less than , it means that the convergence condition is met and the following step S305 can be performed.

[0070] Exemplarily, the target value of the first phase can be calculated by the following formula: No. After iterations Target value The calculation formula is: (1.22) in: (1.23).

[0071] In another example, if it is not less than, n=n+1 can be set, and the next round of iterative solution can be started from step S301.

[0072] S305 , outputting the first phase after the (n+1)th iteration as the optimal first phase.

[0073] For example, see Figure 4 The phase shown is the autocorrelation level of the template signal of the first phase. It can be seen that its integrated sidelobe level is relatively large.

[0074] Example 4 Figure 5 The flowchart shown is a method for determining a second phase encoding vector according to an embodiment of the present invention. As an example and not a limitation, the method may be a possible specific implementation of step S201 described above. The method may include steps S501-S503, each of which is described below.

[0075] S501 : Based on the SQP algorithm, determine the second phase after the w+1th iteration according to the second phase after the wth iteration, and determine a target value of the second phase after the w+1th iteration.

[0076] For example, w is a positive integer, For example, the target value of the second phase can be calculated by the following formula: (1.24) in, express The target value, represents the infinite norm, is the autocorrelation sidelobe of the template signal in the first k shifts.

[0077] S502 : Determine whether the target value of the second phase after the w+1th iteration is less than a preset minimum target value.

[0078] In one example, if the target value of the second phase after the w+1th iteration is Less than the minimum target value , then the following step S403 can be performed.

[0079] For example, the minimum target value Can be 0.

[0080] In another example, if it is not less than, w=w+1 can be set and step S401 can be performed.

[0081] S503 , outputting the second phase after the w+1th iteration as the optimal second phase.

[0082] For example, see Figure 6 The phase shown is the autocorrelation level of the template signal of the second phase. It can be seen that its minimum value is large.

[0083] Example 5 Figure 7 The figure shows a schematic diagram of the structure of an anti-sorting device based on high pulse pressure sidelobe characteristics according to an embodiment of the present invention. As an example and not a limitation, the device may include a high pulse pressure sidelobe calculation module 710, a phase disturbance calculation module 720, and a transmission module 730.

[0084] Exemplarily, the high pulse pressure sidelobe calculation module 710 is used to calculate the optimal first phase that maximizes the integrated sidelobe level of the template signal, and / or the optimal second phase that maximizes the minimum value of the autocorrelation sidelobe of the template signal. The phase disturbance calculation module 720 is used to calculate the phase disturbance matrix, and add phase disturbance to the initial signal of the radar based on the phase disturbance matrix, so that the signal intercepted by the electronic support equipment ESM approaches the combined template signal to obtain the disturbed initial signal, wherein the combined template signal is composed of multiple template signals with the optimal first phase and / or the optimal second phase; the transmitting module 730 is used to transmit the disturbed initial signal so that the ESM intercepts a signal with high pulse pressure sidelobe characteristics.

[0085] In order to better illustrate the beneficial effects of the present invention, the following simulation experiments were conducted: Simulation Experiment 1 For example, in Experiment 1, an initial signal is provided. The dimension of the initial signal is , see Figure 8a The directional pattern of the initial signal in the and, see Figure 8b , the angular domain signal of the initial signal is suppressed Afterwards, Experiment 1 Set up the jammer ESM at the jammer location and let your own radar transmit the initial signal and the initial signal with phase disturbance to it.

[0086] See also Figure 9 The autocorrelation level of the ESM intercepted signal of the jammer is shown. It can be seen that the minimum value of the autocorrelation sidelobe of the angular domain signal after disturbance is higher than , and the maximum value of the autocorrelation sidelobe of the angular domain signal of the ESM intercepted signal before disturbance is about Therefore, after phase perturbation, the autocorrelation sidelobe of the ESM intercepted signal is significantly improved.

[0087] Specifically, see Figure 10a , b, Figure 10a , b are the transmission patterns of the initial signal and the initial signal after phase perturbation, The autocorrelation level of the angular domain signal at , it can be seen that after the phase disturbance, the energy of the transmission pattern is still concentrated The detection performance of the waveform is not significantly affected, and The autocorrelation level of , has little impact on the detection performance of the waveform. Therefore, phase perturbation basically does not change the performance of the original waveform.

[0088] Simulation Experiment 2 Similarly, in Experiment 2, the initial signal was first; then, Set up the jammer ESM at the jammer location and let your own radar transmit the initial signal and the initial signal with phase disturbance to it.

[0089] See also Figure 11 The autocorrelation level of the ESM intercepted signal before and after the phase disturbance. It can be seen that after the phase disturbance, the autocorrelation sidelobe integral level of the angular domain signal intercepted by the ESM increases. .

[0090] Similarly, see Figure 12a , b, Figure 12a , b are the transmission patterns of the initial signal and the initial signal after phase perturbation (i.e., the transmission signal), From the autocorrelation level of the angular domain signal, it can be seen that the phase disturbance basically does not change the performance of the original waveform.

[0091] Therefore, the present invention first designs a template signal with high pulse pressure sidelobe characteristics, then applies phase perturbation to the initial signal, and transmits the perturbed initial signal, so that the signal intercepted by the ESM approaches the template signal, so that the interfering ESM intercepts a signal with high pulse pressure sidelobe characteristics. Due to the recognition that radar signals have low pulse pressure sidelobe characteristics, the interfering ESM will misjudge the signal and mistakenly regard the transmitted signal as a non-radar signal, thereby not performing sorting interference on it; therefore, the present invention has good anti-sorting and anti-interference capabilities. At the same time, the present invention improves the anti-sorting capability by first designing the template signal and then applying phase perturbation to the initial signal, rather than directly designing the intercepted signal of the ESM, so the computational complexity is low and the signal transmission efficiency is high.

[0092] Example 6 Figure 13 FIG. 1 is a schematic diagram of the structure of an electronic device provided by an embodiment of the present invention. Figure 13The electronic device 1300 shown may include: at least one processor 1310 ( Figure 13 Only one processor is shown in the figure), a memory 1320, and a computer program 1330 stored in the memory 1320 and executable on the at least one processor 1310, wherein the processor 1310 implements the steps of any of the above-mentioned method embodiments when executing the computer program 1330.

[0093] The electronic device 1300 may be a processing device such as a robot that can implement the above method. The embodiment of the present invention does not impose any limitation on the specific type of the electronic device.

[0094] Those skilled in the art will understand that Figure 13 The electronic device 1300 is merely an example and does not constitute a limitation on the electronic device. The electronic device 1300 may include more or fewer components than shown in the figure, or may combine certain components or different components. For example, the electronic device 1300 may also include an input and output interface.

[0095] The processor 1310 may be a central processing unit (CPU), or other general-purpose processors, digital signal processors (DSP), application-specific integrated circuits (ASTC), field-programmable gate arrays (FPGA), or other programmable logic devices, discrete gates, or transistor logic devices, or discrete hardware components. A general-purpose processor may be a microprocessor or any conventional processor.

[0096] In some embodiments, the memory 1320 may be an internal storage unit, such as a hard disk or a memory. In other embodiments, the memory 1320 may also be an external storage device, such as a plug-in hard disk, a smart memory card (SMC), a secure digital (SD) card, a flash card, etc. Furthermore, the memory 1320 may include both an internal storage unit and an external storage device. The memory 1320 is used to store an operating system, an application program, a boot loader, data, and other programs, such as the program code of the computer program. The memory 1320 may also be used to temporarily store data that has been output or is about to be output.

[0097] It should be understood that the size of the serial numbers of the steps in the above embodiments does not mean the order of execution. The execution order of each process should be determined by its function and internal logic, and should not constitute any limitation on the implementation process of the embodiments of the present invention.

[0098] Those skilled in the art can clearly understand that, for the convenience and brevity of description, only the division of the above-mentioned functional units and modules is used as an example for illustration. In actual applications, the above-mentioned functions can be distributed and completed by different functional units and modules as needed, that is, the internal structure of the device can be divided into different functional units or modules to complete all or part of the functions described above. The functional units and modules in the embodiment can be integrated into one processing unit, or each unit can exist physically alone, or two or more units can be integrated into one unit. The above-mentioned integrated unit can be implemented in the form of hardware or in the form of software functional units. In addition, the specific names of the functional units and modules are only for the convenience of distinguishing each other, and are not used to limit the scope of protection of the present invention. The specific working process of the units and modules in the above-mentioned system can refer to the corresponding process in the aforementioned method embodiment, and will not be repeated here.

[0099] An embodiment of the present invention further provides a computer-readable storage medium, wherein the computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, the steps in the above-mentioned various method embodiments can be implemented.

[0100] An embodiment of the present invention provides a computer program product. When the computer program product is run on an electronic device, the electronic device can implement the steps in the above-mentioned various method embodiments when executing the computer program product.

[0101] If the integrated unit is implemented as a software functional unit and sold or used as a standalone product, it can be stored in a computer-readable storage medium. Based on this understanding, the present invention can implement all or part of the process steps in the above-mentioned method embodiments by instructing the relevant hardware through a computer program. The computer program can be stored in a computer-readable storage medium. When executed by a processor, the computer program can implement the steps of each of the above-mentioned method embodiments. The computer program includes computer program code, which can be in source code form, object code form, executable file, or some intermediate form. The computer-readable medium can include at least: any entity or device capable of carrying computer program code to a camera / terminal device, recording medium, computer memory, read-only memory (ROM), random access memory (RAM), electric carrier signal, telecommunication signal, and software distribution medium. Examples include USB flash drives, removable hard drives, magnetic disks, or optical disks. In some jurisdictions, based on legislation and patent practice, computer-readable media cannot be electric carrier signals or telecommunication signals.

[0102] In the above embodiments, the description of each embodiment has its own focus. For parts that are not described or recorded in detail in a certain embodiment, reference can be made to the relevant description of other embodiments.

[0103] Those skilled in the art will appreciate that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Professionals and technicians can use different methods to implement the described functions for each specific application, but such implementation should not be considered beyond the scope of the present invention.

Claims

1. An anti-sorting method based on high pulse pressure sidelobe characteristics, characterized in that: include: Calculating an optimal first phase that maximizes the template signal integrated sidelobe level, and / or an optimal second phase that maximizes the minimum value of the template signal autocorrelation sidelobe; Calculating a phase perturbation matrix, and adding phase perturbation to an initial radar signal based on the phase perturbation matrix to make a signal intercepted by an electronic support device (ESM) approach a combined template signal, thereby obtaining a perturbed initial signal, wherein the combined template signal is composed of a plurality of template signals having the optimal first phase and / or the optimal second phase; The disturbed initial signal is transmitted to enable the ESM to intercept a signal with a high pulse pressure sidelobe characteristic.

2. The method according to claim 1, characterized in that The calculating of the optimal first phase for maximizing the template signal integrated sidelobe level includes: Iteratively solving the first optimization model based on the Lagrangian optimization algorithm to obtain the optimal first phase; The first optimization model satisfies the following formula: in, , is the autocorrelation sidelobe of the template signal at the kth distance shift, is the kth intermediate subvariable, K the total number of side lobes to be optimized in the template signal autocorrelation level, Indicates the phase of the template signal.

3. The method according to claim 2, characterized in that The process of performing the nth iterative solution of the first optimization model based on the Lagrangian optimization algorithm includes: Determine the first phase after the (n+1)th iteration according to the first phase after the (n)th iteration, the Lagrange multiplier after the (n)th iteration, and the intermediate subvariable after the (n)th iteration; Determine the intermediate subvariable after the (n+1)th iteration according to the first phase after the (n+1)th iteration and the Lagrange multiplier after the (n)th iteration; Determine a Lagrange multiplier after the (n+1)th iteration according to the first phase after the (n+1)th iteration, the intermediate subvariable after the (n+1)th iteration, and the Lagrange multiplier after the nth iteration; Determine whether the convergence conditions are met; If the convergence condition is not met, set n=n+1 to perform the next iteration; If the convergence condition is met, the first phase after the (n+1)th iteration is output as the optimal first phase.

4. The method according to claim 3, characterized in that The said The first phase after +1 iterations satisfies the following formula: in, is the first phase after the n+1th iteration, is the Lagrange multiplier after the nth iteration, is the penalty factor, is the intermediate subvariable after the nth iteration; The said The intermediate subvariable after +1 iterations satisfies the following formula: in: in, , is the chip length of the template signal, for Middle The value of the element, represents the real part.

5. The method according to claim 1, wherein Calculating the optimal second phase that maximizes the minimum value of the template signal autocorrelation sidelobe includes: Iteratively solving the second optimization model based on a sequential quadratic programming algorithm optimization algorithm to obtain the optimal second phase; The second optimization model satisfies the following formula: in, is the autocorrelation sidelobe of the template signal at the kth distance shift, is the chip length of the template signal, Indicates the phase of the template signal.

6. The method according to claim 1, wherein The combined template signal satisfies the following formula: in, is the combined template signal, For the The amplitude weighted value of the template signal, when hour, is a template signal with a phase equal to the optimal first phase, when hour, is a template signal having a phase equal to the optimal second phase.

7. The method according to claim 1, characterized in that The phase perturbation matrix satisfies the following formula: in: in, is the phase perturbation matrix, Indicates the template signal The phase, represents the L2 norm, , , is the steering vector matrix at the ESM direction; The first A column vector consisting of row elements, represents the imaginary part, represents the real part.

8. An anti-sorting device based on high pulse pressure sidelobe characteristics, characterized in that: include: A high pulse pressure sidelobe calculation module, the high pulse pressure sidelobe calculation module is used to calculate an optimal first phase that maximizes the integrated sidelobe level of the template signal and / or an optimal second phase that maximizes the minimum value of the autocorrelation sidelobe of the template signal; a phase perturbation calculation module, the phase perturbation calculation module being configured to calculate a phase perturbation matrix and, based on the phase perturbation matrix, add phase perturbation to an initial radar signal so as to make a signal intercepted by an electronic support device (ESM) approach a combined template signal, thereby obtaining a perturbed initial signal, wherein the combined template signal is composed of a plurality of template signals having phases equal to the optimal first phase and / or the optimal second phase; A transmitting module is used to transmit the disturbed initial signal so that the ESM intercepts a signal with a high pulse pressure sidelobe feature.

9. An electronic device comprising a memory, a processor, and a computer program stored in the memory, characterized in that: When the processor executes the computer program, the method according to any one of claims 1 to 7 is implemented.

10. A computer-readable storage medium storing a computer program, characterized in that: When the computer program is executed by the electronic device, the method according to any one of claims 1 to 7 is implemented.

Images