Methods, apparatus and equipment for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase error

Abstract

This application belongs to the field of single-pulse angle measurement technology, and relates to a method, apparatus, and equipment for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase errors. The method includes: obtaining different channel amplitude and phase errors to obtain the single-pulse angle measurement error corresponding to each channel amplitude and phase error; obtaining the relationship between the mean of the single-pulse angle measurement error and the channel amplitude and phase errors, and the relationship between the standard deviation of the single-pulse angle measurement error and the channel amplitude and phase errors, based on Monte Carlo simulation; obtaining the range of the single-pulse angle measurement error based on Chebyshev's inequality; obtaining the confidence level requirement and establishing an analytical model of the single-pulse angle measurement error and the channel amplitude and phase errors; inputting different channel amplitude and phase errors to obtain the single-pulse angle measurement accuracy; or inputting the maximum single-pulse angle measurement error to obtain the channel amplitude and phase error. This application can effectively analyze the boundary of the single-pulse angle measurement error and efficiently estimate the channel amplitude and phase errors.

Description

Technical Field

[0001] This application relates to the field of single-pulse angle measurement technology, and in particular to methods, apparatus and equipment for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase errors. Background Technology

[0002] Single-pulse angle measurement can quickly and accurately obtain the spatial angle of a target. However, in practical array systems, factors such as manufacturing inaccuracies, thermal drift, malfunctions, complex environments or weather conditions, and variations in the equipment itself can introduce channel amplitude and phase errors. Therefore, a deviation will occur between the actual array manifold and the ideal array manifold. When the deviation reaches a certain level, the correlation of the incident signal wavefront will be lost, which will degrade the performance of single-pulse angle measurement based on the ideal array manifold. Therefore, analyzing the impact of channel amplitude and phase errors on the accuracy of single-pulse angle measurement is crucial.

[0003] In existing technologies, array sensitivity analysis under excitation amplitude and phase errors is well-established. The classic method for sensitivity analysis uses probabilistic statistics to analyze the average power pattern, gain, average sidelobe level, and beam pointing error of a phased array. However, these methods cannot guarantee reliable confidence levels for small to medium-sized arrays. Another approach is array sensitivity analysis based on interval techniques. This method solves the problem of unreliable results obtained by statistical analysis methods for small to medium-sized arrays by modeling uncertain errors as bounded intervals to calculate the boundaries of the power pattern. However, this method can lead to overestimation of antenna response boundaries. Interval analysis methods based on Minkowski and others can achieve tighter and more reliable boundaries, but this method uses convex polygons for boundary estimation, and the problem of boundary overestimation still exists.

[0004] However, the above methods only analyze the impact of excitation amplitude and phase errors on the array transmission pattern and its main parameters. They do not study the accuracy analysis of single-pulse angle measurement under the condition of channel amplitude and phase errors from the perspective of array reception. Therefore, they cannot effectively predict the accuracy of single-pulse angle measurement errors, and thus cannot estimate the accuracy of the channel amplitude and phase errors that need to be calibrated. Summary of the Invention

[0005] Therefore, it is necessary to provide a method, apparatus, and device for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase errors to address the above-mentioned technical problems. This method can effectively estimate the boundary of single-pulse angle measurement error under different channel amplitude and phase errors, and efficiently estimate the channel amplitude and phase error under the constraint of a specific single-pulse angle measurement error, thus solving the problem of selecting the calibration accuracy of channel amplitude and phase errors.

[0006] Methods for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase errors include:

[0007] Obtain the amplitude and phase errors of different channels, and obtain the single-pulse angle measurement error corresponding to the amplitude and phase error of each channel;

[0008] Based on Monte Carlo simulation, the statistics of single-pulse angle measurement error are obtained, the mean and standard deviation of single-pulse angle measurement error are calculated, and the relationship between the mean of single-pulse angle measurement error and channel amplitude and phase error, as well as the relationship between the standard deviation of single-pulse angle measurement error and channel amplitude and phase error, are obtained.

[0009] According to Chebyshev's inequality, the range of single-pulse angle measurement error is obtained;

[0010] The confidence level requirement is obtained, and based on the relationship between the mean of the single-pulse angle measurement error and the channel amplitude and phase error, the relationship between the standard deviation of the single-pulse angle measurement error and the channel amplitude and phase error, and the range of the single-pulse angle measurement error, an analytical model of the single-pulse angle measurement error and the channel amplitude and phase error is established.

[0011] Based on the analysis model of single-pulse angle measurement error and channel amplitude and phase error, different channel amplitude and phase errors are input to obtain the single-pulse angle measurement accuracy; or, based on the analysis model of single-pulse angle measurement error and channel amplitude and phase error, the maximum single-pulse angle measurement error is input to obtain the channel amplitude and phase error.

[0012] In one embodiment, different channel amplitude and phase errors are obtained, and the single-pulse angle measurement error corresponding to each channel amplitude and phase error is obtained, including:

[0013] The array parameters and different channel amplitude and phase errors are obtained, and the matrix representation of the array polarization beam pattern under the channel amplitude and phase errors is obtained.

[0014] Obtain the Jones vector of the polarization state of the target signal, and based on the matrix representation of the polarization beam pattern of the array under channel amplitude and phase error, obtain the ratio of the difference channel and the sum channel of the elevation and azimuth angles under channel amplitude and phase error;

[0015] Based on the ratio of the difference between the pitch and azimuth angles under the channel amplitude and phase errors to that between the two channels, and the single-pulse angle measurement curve, the single-pulse angle measurement error corresponding to the amplitude and phase error of each channel is obtained.

[0016] In one embodiment, array parameters and different channel amplitude and phase errors are obtained, and a matrix representation of the array's polarization beam pattern under the channel amplitude and phase errors is obtained, including:

[0017] Obtain the array parameters to get the matrix representation of the polarization beam pattern of the array under ideal conditions, and obtain the ideal manifold representation;

[0018] Different channel amplitude and phase errors are obtained, and the actual manifold representation under the channel amplitude and phase errors is obtained based on the ideal manifold representation.

[0019] Based on the actual manifold representation under channel amplitude and phase errors and the matrix representation of the array's polarization beam pattern under ideal conditions, the matrix representation of the array's polarization beam pattern under channel amplitude and phase errors is obtained.

[0020] In one embodiment, the Jones vector of the polarization state of the target signal is obtained, and based on the matrix representation of the array's polarization beam pattern under channel amplitude and phase errors, the ratio of the difference channel to the sum channel of the elevation and azimuth angles under channel amplitude and phase errors is obtained, including:

[0021] Obtain the Jones vector of the polarization state of the target signal, and obtain the ratio of the difference channel to the sum channel of the pitch and azimuth angles under ideal conditions;

[0022] The channel amplitude and phase errors and noise are obtained, and based on the matrix representation of the array polarization beam pattern under the channel amplitude and phase errors, the ratio of the difference channel and the sum channel of the elevation and azimuth angles under the channel amplitude and phase errors is obtained.

[0023] In one embodiment, based on Monte Carlo simulation, the statistics of the single-pulse angle measurement error are obtained, the mean and standard deviation of the single-pulse angle measurement error are calculated, and the relationship between the mean of the single-pulse angle measurement error and the channel amplitude and phase error, as well as the relationship between the standard deviation of the single-pulse angle measurement error and the channel amplitude and phase error, are obtained, including:

[0024] Based on Monte Carlo simulation, the statistics of single-pulse angle measurement error are obtained, the mean of single-pulse angle measurement error is calculated, and the relationship between the mean of single-pulse angle measurement error and channel amplitude and phase error is obtained.

[0025] Based on Monte Carlo simulation, the statistics of single-pulse angle measurement error are obtained, the standard deviation of single-pulse angle measurement error is calculated, and the relationship between the standard deviation of single-pulse angle measurement error and channel amplitude and phase error is obtained based on the linear model.

[0026] In one embodiment, according to Chebyshev's inequality, the range of single-pulse angle measurement error is obtained, including:

[0027] Based on Chebyshev's inequality, the relationship between the mean of the single-pulse angle measurement error, the standard deviation of the single-pulse angle measurement error, and the single-pulse angle measurement accuracy is established.

[0028] Based on the relationship between the mean value of the single-pulse angle measurement error, the standard deviation of the single-pulse angle measurement error, and the accuracy of the single-pulse angle measurement, the range of the single-pulse angle measurement error can be obtained.

[0029] In one embodiment, the relationship between the mean of the single-pulse angle measurement error, the standard deviation of the single-pulse angle measurement error, and the single-pulse angle measurement accuracy is established according to Chebyshev's inequality, including:

[0030]

[0031] In the formula, P(*) is the probability of *, and D EL|AZ For single-pulse angle measurement accuracy, μ EL|AZ Let σ be the mean value of the single-pulse angle measurement error, ε be any value greater than zero, and σ be the mean value of the single-pulse angle measurement error. EL|AZ This represents the standard deviation of the single-pulse angle measurement error;

[0032] Let ε = cσ EL|AZ (c>0), then:

[0033]

[0034] In the formula, c is any value greater than zero;

[0035] Based on the relationship between the mean of the single-pulse angle measurement error, the standard deviation of the single-pulse angle measurement error, and the accuracy of the single-pulse angle measurement, the range of the single-pulse angle measurement error is obtained, including:

[0036] D EL|AZ ∈[μ EL|AZ -cσ EL|AZ ,μ EL|AZ +cσ EL|AZ ]

[0037] In the formula, D EL|AZ This is for single-pulse angle measurement accuracy.

[0038] In one embodiment, a confidence level requirement is obtained, and based on the relationship between the mean of the single-pulse angle measurement error and the channel amplitude and phase error, the relationship between the standard deviation of the single-pulse angle measurement error and the channel amplitude and phase error, and the range of the single-pulse angle measurement error, an analytical model of the single-pulse angle measurement error and the channel amplitude and phase error is established, including:

[0039] The analytical model for single-pulse angle measurement accuracy under channel amplitude and phase error is as follows:

[0040]

[0041] In the formula, The single-pulse angle measurement error for beam pointing. Let be the mean value of the single-pulse angle measurement error for beam pointing, and let c be any value greater than zero. The standard deviation of the single-pulse angle measurement error for beam pointing. The single-pulse angle measurement error is within a 3dB beamwidth. To determine the maximum negative error in single-pulse angle measurement, take... or To determine the maximum positive error of single-pulse angle measurement, take... or Let be the mean value of the single-pulse angle measurement error in the direction of the i-th target, and take . or Let be the standard deviation of the single-pulse angle measurement error in the i-th target direction, and take . or Let be the reference value for the average single-pulse angle measurement error in the i-th target direction, and take . or Let be the linear model parameters for the i-th target direction, where Pick or Pick or Pick or σ α σ is the standard deviation of the channel amplitude error. β This represents the standard deviation of the channel phase error.

[0042] The analytical model for channel amplitude and phase error under the constraint of maximum single-pulse angle measurement error is as follows:

[0043]

[0044]

[0045]

[0046]

[0047]

[0048] In the formula, For the linear model parameters of different pitch angles in the i-th target direction, For the azimuth linear model parameters of different azimuth directions of the i-th target, Let be the standard deviation of the single-pulse pitch angle measurement error in the i-th target direction. Let be the standard deviation of the single-pulse azimuth angle measurement error for the i-th target direction. The maximum positive error in single-pulse pitch angle measurement. This represents the maximum positive error in single-pulse azimuth angular measurement.

[0049] A device for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase error includes:

[0050] The acquisition module is used to acquire the amplitude and phase errors of different channels and obtain the single-pulse angle measurement error corresponding to the amplitude and phase error of each channel.

[0051] The simulation module is used to obtain the statistics of single-pulse angle measurement error based on Monte Carlo simulation, calculate the mean and standard deviation of single-pulse angle measurement error, and obtain the relationship between the mean of single-pulse angle measurement error and channel amplitude and phase error, as well as the relationship between the standard deviation of single-pulse angle measurement error and channel amplitude and phase error.

[0052] The calculation module is used to obtain the range of single-pulse angle measurement error based on Chebyshev's inequality;

[0053] The analysis module is used to obtain the confidence level requirement and establish an analysis model of single-pulse angle measurement error and channel amplitude and phase error based on the relationship between the mean of single-pulse angle measurement error and channel amplitude and phase error, the relationship between the standard deviation of single-pulse angle measurement error and channel amplitude and phase error, and the range of single-pulse angle measurement error.

[0054] The output module is used to obtain the single-pulse angle measurement accuracy by inputting different channel amplitude and phase errors according to the analysis model of single-pulse angle measurement error and channel amplitude and phase error; or, according to the analysis model of single-pulse angle measurement error and channel amplitude and phase error, to obtain the channel amplitude and phase error by inputting the maximum single-pulse angle measurement error.

[0055] A computer device includes a memory and a processor, the memory storing a computer program, and the processor executing the computer program performing the following steps:

[0056] Obtain the amplitude and phase errors of different channels, and obtain the single-pulse angle measurement error corresponding to the amplitude and phase error of each channel;

[0057] Based on Monte Carlo simulation, the statistics of single-pulse angle measurement error are obtained, the mean and standard deviation of single-pulse angle measurement error are calculated, and the relationship between the mean of single-pulse angle measurement error and channel amplitude and phase error, as well as the relationship between the standard deviation of single-pulse angle measurement error and channel amplitude and phase error, are obtained.

[0058] According to Chebyshev's inequality, the range of single-pulse angle measurement error is obtained;

[0059] The confidence level requirement is obtained, and based on the relationship between the mean of the single-pulse angle measurement error and the channel amplitude and phase error, the relationship between the standard deviation of the single-pulse angle measurement error and the channel amplitude and phase error, and the range of the single-pulse angle measurement error, an analytical model of the single-pulse angle measurement error and the channel amplitude and phase error is established.

[0060] Based on the analysis model of single-pulse angle measurement error and channel amplitude and phase error, different channel amplitude and phase errors are input to obtain the single-pulse angle measurement accuracy; or, based on the analysis model of single-pulse angle measurement error and channel amplitude and phase error, the maximum single-pulse angle measurement error is input to obtain the channel amplitude and phase error.

[0061] The aforementioned method, apparatus, and equipment for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase errors analyze the influence of non-ideal factors and establish a single-pulse angle measurement method under array channel amplitude and phase errors. Using Chebyshev's inequality, it is found that the single-pulse angle measurement error is determined by the mean and standard deviation of the angle measurement error. The mean has a weak correlation with the array channel amplitude and phase errors, while the standard deviation shows a linear change relative to the array channel amplitude and phase errors. Using a linear model, this application can efficiently estimate the channel amplitude and phase errors under specific single-pulse angle measurement error constraints, solving the problem of selecting the calibration accuracy of channel amplitude and phase errors. Furthermore, it derives the requirements that the channel amplitude and phase errors must meet under specific single-pulse angle measurement error constraints. This application does not require substituting every value of the channel amplitude and phase error into the single-pulse angle measurement method and Monte Carlo simulation to analyze the angle measurement error. Based on Chebyshev's inequality and the linear model, it accurately predicts the boundaries of unmeasured single-pulse angle measurement errors under different channel amplitude and phase error conditions. Moreover, under the constraint of single-pulse angle measurement accuracy, it can accurately estimate the requirements that the channel amplitude and phase errors must meet, providing a reference index for calibrating channel amplitude and phase errors. Attached Figure Description

[0062] Figure 1 This is an application scenario diagram of the single-pulse angle measurement accuracy analysis method under channel amplitude and phase error in one embodiment;

[0063] Figure 2 This is a flowchart illustrating a method for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase error in one embodiment.

[0064] Figure 3 A diagram defining the coordinate system of a dual-polarized planar array in one embodiment;

[0065] Figure 4 For one embodiment σ EL and σ AZ The approximate estimation curve is shown in the figure, where (a) is the σ at the angle (90°, 0°). EL The approximate estimation curve is shown in (b), which is the σ curve at the angle (90°, 0°). AZ The approximate estimation curve is shown in (c), which represents σ at the angle (92.8°, 2.8°). EL The approximate estimation curve is shown in (d), where σ is the angle at (92.8°, 2.8°). AZ Approximate estimation curve;

[0066] Figure 5 Here is an example of a channel amplitude and phase error estimation diagram under the constraint of single-pulse angle measurement error [-0.6°, 0.6°], where (a) is the estimated channel amplitude and phase error range, and (b) is the azimuth angle measurement error histogram of (92.8°, -2.8°).

[0067] Figure 6This is a structural block diagram of a single-pulse angle measurement accuracy analysis device under channel amplitude and phase error in one embodiment;

[0068] Figure 7 This is an internal structural diagram of a computer device in one embodiment. Detailed Implementation

[0069] To make the objectives, technical solutions, and advantages of this application clearer, the following detailed description is provided in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the scope of this application. All other embodiments obtained by those skilled in the art based on the embodiments in this application without inventive effort are within the scope of protection of this application.

[0070] It should be noted that all directional indicators (such as up, down, left, right, front, back, etc.) in the embodiments of this application are only used to explain the relative positional relationship and movement of each component in a certain specific posture (as shown in the figure). If the specific posture changes, the directional indicator will also change accordingly.

[0071] Furthermore, the use of terms such as "first" and "second" in this application is for descriptive purposes only and should not be construed as indicating or implying their relative importance or implicitly specifying the number of technical features indicated. Therefore, a feature defined as "first" or "second" may explicitly or implicitly include at least one of those features. In the description of this application, "multiple sets" means at least two sets, such as two sets, three sets, etc., unless otherwise explicitly specified.

[0072] In this application, unless otherwise expressly specified and limited, the terms "connection," "fixed," etc., should be interpreted broadly. For example, "fixed" can mean a fixed connection, a detachable connection, or an integral part; it can mean a mechanical connection, an electrical connection, a physical connection, or a wireless communication connection; it can mean a direct connection or an indirect connection through an intermediate medium; it can mean the internal communication of two elements or the interaction between two elements, unless otherwise expressly limited. Those skilled in the art can understand the specific meaning of the above terms in this application according to the specific circumstances.

[0073] Furthermore, the technical solutions of the various embodiments of this application can be combined with each other, but only if they are based on the ability of those skilled in the art to implement them. When the combination of technical solutions is contradictory or cannot be implemented, it should be considered that such combination of technical solutions does not exist and is not within the scope of protection claimed by this application.

[0074] The method provided in this application can be applied to, for example... Figure 1In the application environment shown, terminal 102 communicates with server 104 via a network. Terminal 102 may include, but is not limited to, various personal computers, laptops, smartphones, tablets, and portable wearable devices. Server 104 may be a server corresponding to various portal websites or work system backends.

[0075] This application provides a method for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase error, such as Figure 2 As shown, in one embodiment, the method is applied to Figure 1 Taking the terminal in the example, the explanation includes:

[0076] Step 202: Obtain the amplitude and phase errors of different channels, and obtain the single-pulse angle measurement error corresponding to the amplitude and phase error of each channel.

[0077] Specifically:

[0078] The array parameters and different channel amplitude and phase errors are obtained, and the matrix representation of the array polarization beam pattern under the channel amplitude and phase errors is obtained.

[0079] Obtain the Jones vector of the polarization state of the target signal, and based on the matrix representation of the polarization beam pattern of the array under channel amplitude and phase error, obtain the ratio of the difference channel and the sum channel of the elevation and azimuth angles under channel amplitude and phase error;

[0080] Based on the ratio of the difference between the pitch and azimuth angles under the channel amplitude and phase errors to that between the two channels, and the single-pulse angle measurement curve, the single-pulse angle measurement error corresponding to the amplitude and phase error of each channel is obtained.

[0081] More specifically:

[0082] Obtain array parameters (the coordinate system of a dual-polarized planar array is defined as follows) Figure 3 As shown, the dual-polarized planar array has a size of M×N and is located in the yoz plane. Each array element has two mutually orthogonal polarization channels (a horizontal polarization channel and a vertical polarization channel). Using the pattern product theorem, the matrix representation of the polarization beam pattern of the array under ideal conditions is obtained:

[0083]

[0084] In the formula, θ is the pitch angle. It is the azimuth angle. The pattern of the main polarization beam of channel H is shown. This is the cross-polarized beam pattern for the H channel. This is the V-channel cross-polarized beam pattern. The pattern of the V-channel main polarization beam. This represents the polarization beam pattern of an isolated array element, where m is the row of the array (0, 1, ..., M-1) and n is the column of the array (0, 1, ..., N-1). Let be the weighting coefficient of the mn-th array element, where as well as In the case of t, take Σ and Δ EL or Δ AZ When t takes Σ, The element weighting coefficients for the beam are given, and t is taken as Δ. EL hour, The array element weighting coefficients for the pitch difference beam are given by Δt. AZ hour, Here are the element weighting coefficients for the azimuth difference beam; the sum beam uses Taylor weighting, and the difference beam uses Bayliss weighting. mn Represented as an ideal manifold;

[0085] And the ideal manifold representation is obtained:

[0086] A mn =exp{j2π[nd y (UU s )+md z (VV s )] / λ}

[0087]

[0088]

[0089] V = cosθ

[0090] V s =cosθ s

[0091] In the formula, exp is the exponentiation operation with the natural logarithm base e, j is the complex unit, and d y Let d be the element spacing along the y-direction. z Let λ be the element spacing along the z-direction, λ be the wavelength of the incident wave, and θ be the elevation angle. It is the azimuth angle. For array beam pointing;

[0092] Different channel amplitude and phase errors are obtained, and the actual manifold representation under the channel amplitude and phase errors is obtained according to the ideal manifold representation:

[0093]

[0094] In the formula, Let α be the actual manifold representation of the mn-th array element under channel amplitude and phase error. mn The magnitude error follows a Gaussian distribution. β mn The phase error follows a Gaussian distribution.

[0095] Based on the actual manifold representation under channel amplitude and phase errors and the matrix representation of the array's polarization beam pattern under ideal conditions, the matrix representation of the array's polarization beam pattern under channel amplitude and phase errors is obtained:

[0096]

[0097] In the formula, This is the beam pattern of the main polarization beam of channel H under channel amplitude and phase error. This is the cross-polarized beam pattern of the H channel under channel amplitude and phase error. This is the cross-polarized beam pattern of the V-channel under channel amplitude and phase error. This is the beam pattern of the V-channel main polarization beam under channel amplitude and phase error.

[0098] Obtain the Jones vector of the polarization state of the target signal:

[0099] J = [J H J V ] T =[cosγ sinγe jη ] T

[0100] In the formula, J H For the H polarization component, J V For the V polarization component, (·) T For the transpose, tanγ is J H and J V The amplitude ratio between them, η is J H and J V The phase difference between them;

[0101] In monopulse angle measurement, considering cross-polarization, target signal polarization, and receiver noise, the ratio of the difference channel to the sum channel for elevation and azimuth angles under ideal conditions is obtained:

[0102]

[0103] In the formula, This is the difference beam pattern of the V-channel main polarization elevation difference channel or azimuth difference channel under ideal conditions. This is the difference beam pattern of the V-channel cross-polarized elevation difference channel or azimuth difference channel under ideal conditions. For the receiver noise in the pitch difference channel or azimuth difference channel of the V channel, F Σ,vv For the ideal V-channel main polarization and beam pattern, F Σ,hvFor the ideal V-channel cross-polarization and beam pattern, n Σ,v The receiver noise in the V channel is neutralized.

[0104] Obtain the channel amplitude and phase errors, and based on the array polarization beam pattern under the channel amplitude and phase errors, obtain the ratio of the difference channel to the sum channel in terms of elevation and azimuth angles under the channel amplitude and phase errors:

[0105]

[0106] In the formula, This is the difference beam pattern of the V-channel main polarization elevation difference channel or azimuth difference channel under channel amplitude and phase error. This is the difference beam pattern of the V-channel cross-polarized elevation difference channel or azimuth difference channel under channel amplitude and phase error. The main polarization and beam pattern of the V channel under the amplitude and phase error are shown. The cross-polarization and beam pattern of the V-channel under channel amplitude and phase error;

[0107] To obtain receiver noise, assuming a high signal-to-noise ratio for array reception, and temporarily ignoring receiver noise, we further represent the ratio of the difference between the elevation and azimuth angles under channel amplitude and phase errors to that between the sum and sum channels (using V-channel single-pulse elevation angle measurement as an example for analysis; the azimuth angle analysis process is the same):

[0108]

[0109] in,

[0110]

[0111]

[0112] but,

[0113]

[0114] Final conclusion:

[0115]

[0116] In the formula, This is the cross-polarization pattern of isolated array elements. This is the main polarization pattern of an isolated array element.

[0117] Based on the ratio of the difference between the pitch and azimuth angles under channel amplitude and phase errors to that between the two channels, and the single-pulse angle measurement curve, the single-pulse angle measurement error corresponding to the amplitude and phase error of each channel is obtained:

[0118]

[0119]

[0120]

[0121]

[0122] V s =cosθ s

[0123]

[0124] In the formula, This is the ratio of the pitch angle difference between the two channels to that between the two channels under the amplitude and phase error. This is the ratio of the difference channel to the sum channel in terms of the azimuth angle of the channel amplitude and phase error. This is the elevation difference beam pattern of the V-channel main polarization under channel amplitude and phase error. This is the azimuth difference beam pattern of the V-channel main polarization under channel amplitude and phase error. The diagram shows the main polarization and beam pattern of channel V under phase and amplitude errors; V is the phase-comparison single-pulse angle measurement curve of channel V, U is the phase-comparison single-pulse angle measurement curve of channel V, and k is the beam pattern of channel V. EL For the pitch-to-single-pulse slope, k AZ The slope of the azimuth single pulse is given by , and Im is the imaginary part. For the V-channel main polarization elevation difference beam pattern, take... or For the ideal V-channel main polarization elevation difference beam pattern, F Σ For the V-channel main polarization and beam pattern, take F Σ,vv or F Σ,vv This represents the V-channel main polarization and beam pattern under ideal conditions. For the V-channel main polarization azimuth difference beam pattern, take... or This is the V-channel main polarization azimuth difference beam pattern under ideal conditions. This indicates the direction of the array beam.

[0125] In this step, it should be noted that the single-pulse angle measurement curve exhibits a linear variation within the 3dB beamwidth range. The single-pulse angle measurement is only related to the channel amplitude and phase errors, and is independent of cross-polarization and target signal polarization. It is assumed that the channel amplitude and phase errors of each array element are independent random variables. Channel amplitude and phase errors caused by non-ideal factors can be described using classical statistical distributions (such as Gaussian and uniform distributions). Due to the application of Chebyshev's inequality, statistical distributions described by mean and standard deviation can be used for subsequent accuracy analysis. For clarity, a Gaussian distribution is used for the statistical distribution of channel amplitude and phase errors.

[0126] Step 204: Based on the Monte Carlo simulation, obtain the statistics of the single-pulse angle measurement error, calculate the mean and standard deviation of the single-pulse angle measurement error, and obtain the relationship between the mean of the single-pulse angle measurement error and the channel amplitude and phase error, as well as the relationship between the standard deviation of the single-pulse angle measurement error and the channel amplitude and phase error.

[0127] Specifically:

[0128] Based on Monte Carlo simulation, the statistics of single-pulse angle measurement error are obtained, the mean of single-pulse angle measurement error is calculated, and the relationship between the mean of single-pulse angle measurement error and channel amplitude and phase error is obtained.

[0129] Based on Monte Carlo simulation, the statistics of single-pulse angle measurement error are obtained, the standard deviation of single-pulse angle measurement error is calculated, and the relationship between the standard deviation of single-pulse angle measurement error and channel amplitude and phase error is obtained based on the linear model.

[0130] More specifically:

[0131] Analysis of single-pulse angle measurement error under channel amplitude and phase errors is complex, involving multiplication and division of multiple random variables, and the analytical expression of statistical laws is also difficult to calculate. Therefore, Monte Carlo simulation is used to calculate the single-pulse angle measurement error D. EL|AZ D EL|AZ mean μ EL|AZ and D EL|AZ Standard deviation σ EL|AZ .

[0132] Based on Monte Carlo simulations, the statistics of single-pulse angle measurement error are obtained, and the mean value of the single-pulse angle measurement error is calculated. Reference values ​​for the mean value of the single-pulse angle measurement error are calculated based on the amplitude and phase error ranges of different channels. (i.e., averaging the mean values ​​of single-pulse angle measurement errors within different channel amplitude and phase error ranges) to obtain the relationship between the mean value of single-pulse angle measurement errors and channel amplitude and phase errors.

[0133] Based on Monte Carlo simulations, the statistics of the single-pulse angle measurement error were obtained, the standard deviation of the single-pulse angle measurement error was calculated, and the relationship between the standard deviation of the single-pulse angle measurement error and the channel amplitude and phase error was obtained based on a linear model; where the linear model is:

[0134]

[0135] In the formula, Let be the standard deviation of the pitch angular measurement error in the i-th target direction. Let be the standard deviation of the azimuth angle measurement error for the i-th target direction. For the linear model parameters of different pitch angles in the i-th target direction, For the azimuth linear model parameters of the i-th target direction, the azimuth angles are different.

[0136] In this step, when the channel amplitude and phase error varies within a certain range, μ EL|AZ It exhibits characteristics of small-range fluctuations. Therefore, μ EL|AZ The correlation with channel amplitude and phase error is weak, which can be understood as the inherent single-pulse angle measurement deviation of the array, and can be compensated by standard scatterer calibration.

[0137] In addition, σ EL|AZ Relative to σ α and σ β The change is slow. Therefore, a linear model was developed to approximate σ. EL|AZ .

[0138] Step 206: According to Chebyshev's inequality, the range of single-pulse angle measurement error is obtained.

[0139] Specifically:

[0140] Based on Chebyshev's inequality, the relationship between the mean of the single-pulse angle measurement error, the standard deviation of the single-pulse angle measurement error, and the single-pulse angle measurement accuracy is established.

[0141] Based on the relationship between the mean value of the single-pulse angle measurement error, the standard deviation of the single-pulse angle measurement error, and the accuracy of the single-pulse angle measurement, the range of the single-pulse angle measurement error can be obtained.

[0142] More specifically:

[0143] According to Chebyshev's inequality, the mean value of the single-pulse angle measurement error is μ. EL|AZ and the standard deviation σ of the single-pulse angle measurement error EL|AZ The accuracy of single-pulse angle measurement is determined by establishing the relationship between the mean of single-pulse angle measurement error, the standard deviation of single-pulse angle measurement error, and the accuracy of single-pulse angle measurement, including:

[0144]

[0145] In the formula, P(*) is the probability of *, and D EL|AZ For single-pulse angle measurement accuracy, μ EL|AZ Let σ be the mean value of the single-pulse angle measurement error, ε be any value greater than zero, and σ be the mean value of the single-pulse angle measurement error. EL|AZ This represents the standard deviation of the single-pulse angle measurement error;

[0146] Let ε = cσ EL|AZ (c>0), then:

[0147]

[0148] In the formula, c is any value greater than zero;

[0149] Based on the relationship between the mean value of the single-pulse angle measurement error, the standard deviation of the single-pulse angle measurement error, and the accuracy of the single-pulse angle measurement, it is obtained that at least The range of single-pulse angle measurement error under the given confidence level includes:

[0150] D EL|AZ ∈[μ EL|AZ -cσ EL|AZ ,μ EL|AZ +cσ EL|AZ ]

[0151] In the formula, D EL|AZ For single-pulse angle measurement accuracy, D EL|AZ The range is represented by μ EL|AZ and σ EL|AZ To describe.

[0152] Based on the relationship between the mean value of the single-pulse angle measurement error and the channel amplitude and phase error, D EL|AZ Further expressed as:

[0153]

[0154] In the formula, This is a reference value for the mean of the single-pulse angle measurement error (i.e., the average of the mean values ​​of the single-pulse angle measurement error within the amplitude and phase error range of different channels);

[0155] The value relative to cσ EL|AZ The value of μ is very small, so EL|AZ The effect on the angle measurement error is weak, even negligible, so it can be further simplified to:

[0156] D EL|AZ ∈[-cσ EL|AZ ,cσ EL|AZ ].

[0157] Step 208: Obtain the confidence level requirement, and based on the relationship between the mean of the single-pulse angle measurement error and the channel amplitude and phase error, the relationship between the standard deviation of the single-pulse angle measurement error and the channel amplitude and phase error, and the range of the single-pulse angle measurement error, establish an analytical model for the relationship between the single-pulse angle measurement error and the channel amplitude and phase error.

[0158] Specifically:

[0159] The analytical model for single-pulse angle measurement accuracy under channel amplitude and phase error is as follows:

[0160]

[0161] In the formula, The single-pulse angle measurement error for beam pointing. Let be the mean value of the single-pulse angle measurement error for beam pointing, and let c be any value greater than zero. The standard deviation of the single-pulse angle measurement error for beam pointing. The single-pulse angle measurement error is within a 3dB beamwidth. To determine the maximum negative error in single-pulse angle measurement, take... or To determine the maximum positive error of single-pulse angle measurement, take... or Let be the mean value of the single-pulse angle measurement error in the direction of the i-th target, and take . or Let be the standard deviation of the single-pulse angle measurement error in the i-th target direction, and take . or Let be the reference value for the average single-pulse angle measurement error in the i-th target direction, and take . or Let be the linear model parameters for the i-th target direction, where Pick or Pick or Pick or σ α σ is the standard deviation of the channel amplitude error. β This represents the standard deviation of the channel phase error.

[0162] Due to μ EL|AZ The effect is relatively weak, so set μ EL|AZ =0, and the analytical model for channel amplitude and phase error under the constraint of maximum single-pulse angle measurement error is:

[0163]

[0164]

[0165]

[0166]

[0167]

[0168] In the formula, For the linear model parameters of different pitch angles in the i-th target direction, For the azimuth linear model parameters of different azimuth directions of the i-th target, Let be the standard deviation of the single-pulse pitch angle measurement error in the i-th target direction. Let be the standard deviation of the single-pulse azimuth angle measurement error for the i-th target direction. The maximum positive error in single-pulse pitch angle measurement. This represents the maximum positive error in single-pulse azimuth angular measurement.

[0169] Step 210: Based on the analysis model of single-pulse angle measurement error and channel amplitude and phase error, input different channel amplitude and phase errors to obtain the single-pulse angle measurement accuracy; or, based on the analysis model of single-pulse angle measurement error and channel amplitude and phase error, input the maximum single-pulse angle measurement error to obtain the channel amplitude and phase error.

[0170] The aforementioned method for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase errors analyzes the influence of non-ideal factors and establishes a single-pulse angle measurement method under array channel amplitude and phase errors. Using Chebyshev's inequality, it is found that the single-pulse angle measurement error is determined by the mean and standard deviation of the angle measurement error. The mean has a weak correlation with the array channel amplitude and phase errors, while the standard deviation shows a linear relationship with the array channel amplitude and phase errors. Using a linear model, this application can efficiently estimate the channel amplitude and phase errors under specific single-pulse angle measurement error constraints, solving the problem of selecting the calibration accuracy of channel amplitude and phase errors. Furthermore, it derives the requirements that the channel amplitude and phase errors must meet under specific single-pulse angle measurement error constraints. This application does not require substituting every value of the channel amplitude and phase error into the single-pulse angle measurement method and Monte Carlo simulation to analyze the angle measurement error. Based on Chebyshev's inequality and the linear model, it accurately predicts the boundaries of unmeasured angle measurement errors under different channel amplitude and phase error conditions. Moreover, under the constraint of single-pulse angle measurement accuracy, it can accurately estimate the requirements that the channel amplitude and phase errors must meet, providing a reference index for calibrating channel amplitude and phase errors.

[0171] It should be understood that, although Figure 2 The steps in the flowchart are shown sequentially as indicated by the arrows, but these steps are not necessarily executed in the order indicated by the arrows. Unless otherwise specified herein, there is no strict order in which these steps are executed, and they can be performed in other orders. Figure 2 At least some of the steps in the process may include multiple sub-steps or multiple stages. These sub-steps or stages are not necessarily completed at the same time, but can be executed at different times. The execution order of these sub-steps or stages is not necessarily sequential, but can be executed in turn or alternately with other steps or at least some of the sub-steps or stages of other steps.

[0172] In a specific embodiment, a 16×16 uniform planar array is considered, with an element spacing of half a wavelength, a 3dB beamwidth of approximately 8°, and a beam pointing towards the center at (90°, 0°). Typically, the angular measurement error in the beam direction is small, while the angular measurement error in the 3dB beamwidth direction is larger. To fully describe the monopulse angular measurement error within the 3dB beamwidth range, five target signal directions from Table 1 are selected.

[0173] Table 1 - Target Signal Direction

[0174]

[0175] For different channel amplitude and phase errors and target signal directions, 1000 Monte Carlo simulations were used to obtain the corresponding mean μ. EL|AZ Set σ α ∈[0,0.8] and σ β ∈[0°,30°]. As shown in Table 2, by calculating different σ α and σ β within the range μ EL|AZ The average value is used to provide a reference value.

[0176] Table 2-μ EL|AZ Reference value

[0177]

[0178] 1) Validate the linear model:

[0179] Choose {(σ α ,σ β )|σ α ∈[0,0.8],σ β The standard deviation σ is obtained by performing 1000 Monte Carlo simulations over the range [0°, 30°]. EL|AZ And the least squares method is used to calculate k in the linear model. 0 k 1 and k 2 Generally, R is used. 2 R is used to measure the goodness of fit of linear regression. 2 The closer the value is to 1, the better the fit. As shown in Table 3, the calculated model parameters indicate that R0... 2 The value ≥0.95 proves the effectiveness of the linear model.

[0180] Table 3 - Calculation of Model Parameters

[0181]

[0182] σ at angles (90°, 0°) and (92.8°, 2.8°)EL and σ AZ The approximate estimation curve is as follows Figure 4 As shown, the results for other 3dB beamwidth points are similar. (From...) Figure 4 It can be seen that the standard deviation of the single-pulse angle measurement error has a good linear relationship with the channel amplitude and phase error.

[0183] 2) Analysis of Single-Pulse Angle Measurement Error under Channel Amplitude and Phase Error

[0184] Based on the analysis model of single-pulse angle measurement accuracy under channel amplitude and phase errors, the corresponding single-pulse angle measurement error can be calculated according to different channel amplitude and phase errors, and then the influence of channel amplitude and phase errors on single-pulse angle measurement accuracy can be analyzed. At a 93.75% confidence level (c=4), when (σ... α ,σ β When )=(0.2,1.22°), the 3dB beamwidth internal angle measurement error is calculated. and Table 4 lists four sets of detailed values. The calculations in Table 4 take into account... The impact. Compared with the values ​​in Table 2, The value relative to 4σ EL|AZ The value is very small, which verifies the setting of μ. EL|AZ The rationale for =0.

[0185] Table 4 - Calculation of Single-Pulse Angle Measurement Error

[0186]

[0187] 3) Channel amplitude and phase error analysis under single-pulse angle measurement error constraint

[0188] Based on the channel amplitude and phase error analysis model under the constraint of maximum single-pulse angle measurement error, the requirements that the channel amplitude and phase error must meet can be estimated according to the constraints of maximum single-pulse angle measurement error and confidence level.

[0189] To verify the model's accuracy, the estimated channel amplitude and phase errors were used as input. Then, a Monte Carlo simulation was used to calculate the histogram of the single-pulse angle measurement error distribution, thereby verifying whether the histogram distribution of the angle measurement error was within the set maximum angle measurement error range. Assuming the angle measurement errors within the 3dB beamwidth in both pitch and azimuth directions are [-0.6°, 0.6°], then [-0.6°, 0.6°]. The estimated channel amplitude and phase error (σ...) α ,σ β ) range, such as Figure 5 As shown in (a).

[0190] To verify the accuracy of the model, in (σ α ,σ βAn edge point [-0.6°, 0.6°] is selected within the range, and then a histogram of the single-pulse angle measurement error distribution is obtained using 1000 Monte Carlo simulations. Since the azimuth angle measurement error range is largest in the five directions (92.8°, -2.8°), it is sufficient to verify whether the histogram distribution of the azimuth angle measurement error in the (92.8°, -2.8°) direction is within the set maximum angle measurement error range. Figure 5 As shown in (b).

[0191] Using the channel amplitude and phase error calculated by the proposed method as input, the single-pulse angle measurement error obtained by Monte Carlo simulation satisfies the constraint of the maximum angle measurement error, thus verifying the accuracy of the channel amplitude and phase error analysis.

[0192] This application also provides a device for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase error, such as... Figure 6 As shown, in one embodiment, it includes: an acquisition module 602, a simulation module 604, a calculation module 606, an analysis module 608, and an output module 610, wherein:

[0193] The acquisition module 602 is used to acquire the amplitude and phase errors of different channels and obtain the single-pulse angle measurement error corresponding to the amplitude and phase error of each channel;

[0194] The simulation module 604 is used to obtain the statistics of single-pulse angle measurement error based on Monte Carlo simulation, calculate the mean and standard deviation of single-pulse angle measurement error, and obtain the relationship between the mean of single-pulse angle measurement error and channel amplitude and phase error, as well as the relationship between the standard deviation of single-pulse angle measurement error and channel amplitude and phase error.

[0195] The calculation module 606 is used to obtain the range of single-pulse angle measurement error according to Chebyshev's inequality;

[0196] Analysis module 608 is used to obtain the confidence level requirement and establish an analysis model of single-pulse angle measurement error and channel amplitude and phase error based on the relationship between the mean of single-pulse angle measurement error and channel amplitude and phase error, the relationship between the standard deviation of single-pulse angle measurement error and channel amplitude and phase error, and the range of single-pulse angle measurement error.

[0197] The output module 610 is used to obtain the single-pulse angle measurement accuracy by inputting different channel amplitude and phase errors according to the analysis model of single-pulse angle measurement error and channel amplitude and phase error; or, according to the analysis model of single-pulse angle measurement error and channel amplitude and phase error, to obtain the channel amplitude and phase error by inputting the maximum single-pulse angle measurement error.

[0198] Specific limitations regarding the device for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase errors can be found in the limitations of the single-pulse angle measurement accuracy analysis method under channel amplitude and phase errors mentioned above, and will not be repeated here. Each module in the above device can be implemented entirely or partially through software, hardware, or a combination thereof. These modules can be embedded in the processor of the computer device in hardware form or independent of it, or stored in the memory of the computer device in software form, so that the processor can call and execute the corresponding operations of each module.

[0199] In one embodiment, a computer device is provided, which may be a terminal, and its internal structure diagram may be as follows: Figure 7 As shown, the computer device includes a processor, memory, network interface, display screen, and input devices connected via a system bus. The processor provides computing and control capabilities. The memory includes non-volatile storage media and internal memory. The non-volatile storage media stores the operating system and computer programs. The internal memory provides an environment for the operation of the operating system and computer programs stored in the non-volatile storage media. The network interface is used for communication with external terminals via a network connection. When executed by the processor, the computer program implements a method for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase errors. The display screen can be a liquid crystal display (LCD) or an e-ink display. The input devices can be a touch layer covering the display screen, buttons, a trackball, or a touchpad mounted on the computer device casing, or an external keyboard, touchpad, or mouse.

[0200] Those skilled in the art will understand that Figure 7 The structure shown is merely a block diagram of a portion of the structure related to the present application and does not constitute a limitation on the computer device to which the present application is applied. Specific computer devices may include more or fewer components than those shown in the figure, or combine certain components, or have different component arrangements.

[0201] In one embodiment, a computer device is provided, including a memory and a processor, the memory storing a computer program, the processor executing the computer program to implement the steps of the method described above.

[0202] The technical features of the above embodiments can be combined in any way. For the sake of brevity, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0203] The embodiments described above are merely illustrative of several implementation methods of this application, and while the descriptions are specific and detailed, they should not be construed as limiting the scope of this patent application. It should be noted that those skilled in the art can make various modifications and improvements without departing from the concept of this application, and these all fall within the protection scope of this application. Therefore, the protection scope of this patent application should be determined by the appended claims.

Claims

1. A method for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase error, characterized in that, include: Obtain the amplitude and phase errors of different channels, and obtain the single-pulse angle measurement error corresponding to the amplitude and phase error of each channel; Based on Monte Carlo simulation, the statistics of single-pulse angle measurement error are obtained, the mean and standard deviation of single-pulse angle measurement error are calculated, and the relationship between the mean of single-pulse angle measurement error and channel amplitude and phase error, as well as the relationship between the standard deviation of single-pulse angle measurement error and channel amplitude and phase error, are obtained. According to Chebyshev's inequality, the range of single-pulse angle measurement error is obtained; The confidence level requirement is obtained, and based on the relationship between the mean of the single-pulse angle measurement error and the channel amplitude and phase error, the relationship between the standard deviation of the single-pulse angle measurement error and the channel amplitude and phase error, and the range of the single-pulse angle measurement error, an analytical model of the single-pulse angle measurement error and the channel amplitude and phase error is established. Based on the analytical model of single-pulse angle measurement error and channel amplitude and phase error, different channel amplitude and phase errors are input to obtain the single-pulse angle measurement accuracy; Alternatively, based on the analytical model of single-pulse angle measurement error and channel amplitude and phase error, the maximum single-pulse angle measurement error can be input to obtain the channel amplitude and phase error; To obtain the confidence level requirement, and based on the relationship between the mean of the single-pulse angle measurement error and the channel amplitude and phase error, the relationship between the standard deviation of the single-pulse angle measurement error and the channel amplitude and phase error, and the range of the single-pulse angle measurement error, an analytical model of the single-pulse angle measurement error and the channel amplitude and phase error is established, including: The analytical model for single-pulse angle measurement accuracy under channel amplitude and phase error is as follows: In the formula, The single-pulse angle measurement error for beam pointing. The mean value of the single-pulse angle measurement error for beam pointing. For any value greater than zero, The standard deviation of the single-pulse angle measurement error for beam pointing. The single-pulse angle measurement error is within a 3dB beamwidth. To determine the maximum negative error in single-pulse angle measurement, take... or , To determine the maximum positive error of single-pulse angle measurement, take... or , For the first The average single-pulse angle measurement error in each target direction is taken as... or , For the first The standard deviation of the single-pulse angle measurement error in each target direction is taken as follows: or , For the first The reference value for the average single-pulse angle measurement error in each target direction is taken as follows: or , , , For the first Linear model parameters for different target directions, among which... Pick or , Pick or , Pick or , The standard deviation of the channel amplitude error. This represents the standard deviation of the channel phase error. The analytical model for channel amplitude and phase error under the constraint of maximum single-pulse angle measurement error is as follows: In the formula, , , For the first Linear model parameters for pitch angles at different target directions , , For the first Linear model parameters for different azimuth angles of the target direction. For the first The standard deviation of the single-pulse pitch angle measurement error in each target direction. For the first The standard deviation of the single-pulse azimuth angle measurement error in each target direction. This represents the maximum positive error in single-pulse pitch angle measurement. This represents the maximum positive error in single-pulse azimuth angular measurement.

2. The method for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase error according to claim 1, characterized in that, Obtain the amplitude and phase errors of different channels, and obtain the single-pulse angle measurement error corresponding to the amplitude and phase error of each channel, including: The array parameters and different channel amplitude and phase errors are obtained, and the matrix representation of the array polarization beam pattern under the channel amplitude and phase errors is obtained. Obtain the Jones vector of the polarization state of the target signal, and based on the matrix representation of the polarization beam pattern of the array under channel amplitude and phase error, obtain the ratio of the difference channel and the sum channel of the elevation and azimuth angles under channel amplitude and phase error; Based on the ratio of the difference between the pitch and azimuth angles under the channel amplitude and phase errors to that between the two channels, and the single-pulse angle measurement curve, the single-pulse angle measurement error corresponding to the amplitude and phase error of each channel is obtained.

3. The method for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase error according to claim 2, characterized in that, Obtain array parameters and different channel amplitude and phase errors, and obtain a matrix representation of the array's polarization beam pattern under the channel amplitude and phase errors, including: Obtain the array parameters to get the matrix representation of the polarization beam pattern of the array under ideal conditions, and obtain the ideal manifold representation; Different channel amplitude and phase errors are obtained, and the actual manifold representation under the channel amplitude and phase errors is obtained based on the ideal manifold representation. Based on the actual manifold representation under channel amplitude and phase errors and the matrix representation of the array's polarization beam pattern under ideal conditions, the matrix representation of the array's polarization beam pattern under channel amplitude and phase errors is obtained.

4. The method for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase error according to claim 3, characterized in that, Obtain the Jones vector of the target signal polarization state, and based on the matrix representation of the array's polarization beam pattern under channel amplitude and phase errors, obtain the ratio of the difference channel to the sum channel for elevation and azimuth angles under channel amplitude and phase errors, including: Obtain the Jones vector of the polarization state of the target signal, and obtain the ratio of the difference channel to the sum channel of the pitch and azimuth angles under ideal conditions; The channel amplitude and phase errors and noise are obtained, and based on the matrix representation of the array polarization beam pattern under the channel amplitude and phase errors, the ratio of the difference channel and the sum channel of the elevation and azimuth angles under the channel amplitude and phase errors is obtained.

5. The method for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase error according to any one of claims 1 to 4, characterized in that, Based on Monte Carlo simulations, the statistics of single-pulse angle measurement error were obtained. The mean and standard deviation of the single-pulse angle measurement error were calculated, and the relationships between the mean of the single-pulse angle measurement error and the channel amplitude and phase error, as well as the relationships between the standard deviation of the single-pulse angle measurement error and the channel amplitude and phase error, were obtained, including: Based on Monte Carlo simulation, the statistics of single-pulse angle measurement error are obtained, the mean of single-pulse angle measurement error is calculated, and the relationship between the mean of single-pulse angle measurement error and channel amplitude and phase error is obtained. Based on Monte Carlo simulation, the statistics of single-pulse angle measurement error are obtained, the standard deviation of single-pulse angle measurement error is calculated, and the relationship between the standard deviation of single-pulse angle measurement error and channel amplitude and phase error is obtained based on the linear model.

6. The method for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase error according to any one of claims 1 to 4, characterized in that, According to Chebyshev's inequality, the range of single-pulse angle measurement error is obtained, including: Based on Chebyshev's inequality, the relationship between the mean of the single-pulse angle measurement error, the standard deviation of the single-pulse angle measurement error, and the single-pulse angle measurement accuracy is established. Based on the relationship between the mean value of the single-pulse angle measurement error, the standard deviation of the single-pulse angle measurement error, and the accuracy of the single-pulse angle measurement, the range of the single-pulse angle measurement error can be obtained.

7. The method for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase error according to claim 6, characterized in that, Based on Chebyshev's inequality, the relationships between the mean of single-pulse angle measurement error, the standard deviation of single-pulse angle measurement error, and the accuracy of single-pulse angle measurement are established, including: In the formula, The probability of being * For single-pulse angle measurement accuracy, This represents the mean value of the single-pulse angle measurement error. For any value greater than zero, This represents the standard deviation of the single-pulse angle measurement error; make ,but: In the formula, It can be any value greater than zero; Based on the relationship between the mean of the single-pulse angle measurement error, the standard deviation of the single-pulse angle measurement error, and the accuracy of the single-pulse angle measurement, the range of the single-pulse angle measurement error is obtained, including: In the formula, This is for single-pulse angle measurement accuracy.

8. A device for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase error, characterized in that, The method for analyzing the accuracy of single-pulse angle measurement under channel amplitude and phase error as described in any one of claims 1 to 7 includes: The acquisition module is used to acquire the amplitude and phase errors of different channels and obtain the single-pulse angle measurement error corresponding to the amplitude and phase error of each channel. The simulation module is used to obtain the statistics of single-pulse angle measurement error based on Monte Carlo simulation, calculate the mean and standard deviation of single-pulse angle measurement error, and obtain the relationship between the mean of single-pulse angle measurement error and channel amplitude and phase error, as well as the relationship between the standard deviation of single-pulse angle measurement error and channel amplitude and phase error. The calculation module is used to obtain the range of single-pulse angle measurement error based on Chebyshev's inequality; The analysis module is used to obtain the confidence level requirement and establish an analysis model of single-pulse angle measurement error and channel amplitude and phase error based on the relationship between the mean of single-pulse angle measurement error and channel amplitude and phase error, the relationship between the standard deviation of single-pulse angle measurement error and channel amplitude and phase error, and the range of single-pulse angle measurement error. The output module is used to obtain the single-pulse angle measurement accuracy by inputting different channel amplitude and phase errors according to the analysis model of single-pulse angle measurement error and channel amplitude and phase error; or, according to the analysis model of single-pulse angle measurement error and channel amplitude and phase error, to obtain the channel amplitude and phase error by inputting the maximum single-pulse angle measurement error.

9. A computer device comprising a memory and a processor, wherein the memory stores a computer program, characterized in that, When the processor executes the computer program, it implements the steps of the method according to any one of claims 1 to 7.

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