A conformal array rotating anti-jamming amplitude-phase error correction design method
By constructing a rotating array signal receiving model and solving for adaptive weights using a conformal array rotation anti-interference amplitude and phase error correction method, the channel mismatch problem in the navigation system is solved, thereby improving the array's anti-interference performance.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- NORTHWESTERN POLYTECHNICAL UNIV
- Filing Date
- 2026-02-05
- Publication Date
- 2026-06-23
AI Technical Summary
Channel mismatch caused by manufacturing errors of analog devices in navigation systems affects the system's anti-interference performance. Existing array error correction methods suffer from high computational complexity or performance degradation when errors are present.
A conformal array rotation anti-interference amplitude and phase error correction method is adopted. By constructing a rotating array signal receiving model, calculating the rotation steering vector, constructing an amplitude and phase error model, solving the covariance matrix and performing eigenvalue decomposition, constructing a correction matrix, and solving the adaptive weights, accurate correction of the array receiving channel is achieved.
The system has a simple structure, is easy to implement, effectively solves the problem of receiving channel mismatch, and improves the array's anti-interference performance.
Smart Images
Figure CN122260355A_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the field of navigation technology, specifically relating to a conformal array rotation anti-interference amplitude and phase error correction design method. Background Technology
[0002] Since the analog devices in the receiving channel of the navigation system are difficult to achieve ideal results in the actual manufacturing process, they inevitably introduce errors into subsequent processing. These errors include thermal noise, nonlinear harmonics, and AD quantization noise from hardware devices. These non-human errors may cause differences in the amplitude and phase of the received signals between different channels, i.e., channel mismatch, which seriously affects the anti-interference performance of the system.
[0003] Array error correction methods can generally be divided into active correction methods and self-correction methods. Active correction methods have low computational cost, but their performance deteriorates when errors exist in the correction source. Self-correction methods mainly achieve error correction and azimuth estimation through joint optimization. They utilize the array structure and the special form of the error matrix for matrix transformation, requiring a two-dimensional search of the data, resulting in a large computational cost and making them difficult to apply in practice. Summary of the Invention
[0004] To overcome the shortcomings of existing technologies, this invention provides a conformal array rotation anti-interference amplitude and phase error correction design method. First, a rotating array signal receiving model is constructed. Based on the radius and angular velocity of the rotating platform, a rotational steering vector is calculated to construct a rotating array channel amplitude and phase error model. Source incident signal information is collected and the rotation angle of the precision turntable is recorded. The covariance matrix of the received data is solved and its eigenvalues are decomposed to construct the amplitude and phase error calculation equation. The amplitude and phase error matrix is solved to construct the amplitude and phase error correction matrix and correct the received data. Finally, an adaptive weight vector is solved, and the corrected data is weighted and output. Compared with traditional array amplitude and phase error correction schemes, this invention has a simpler system structure and is easier to implement. It can accurately correct the amplitude and phase errors caused by the array receiving channel without requiring a specific algorithm, effectively solving the receiving channel mismatch problem and improving the array's anti-interference performance.
[0005] The technical solution adopted by this invention to solve its technical problem is as follows: Step 1: Assume the array model is a four-element conformal rotating array, comprising 5 elements. Element 5 is an omnidirectional antenna, embedded inside the cylinder. Elements 1 to 4 are unidirectional antennas, symmetrically distributed on the sides of the cylinder. The radius of the cylinder is... During the signal reception process of the array, the array model moves at an angular velocity Rotates clockwise at a constant speed; assume all signals are narrowband signals. Step 2: Construct a signal reception model for the array system; Step 3: Calculate the rotational guidance vector based on the radius and angular velocity of the rotating platform, and construct the rotational guidance vector model; Step 4: Construct a rotating array channel amplitude and phase error model; Step 5: Solve for the covariance matrix and perform eigenvalue decomposition on the received data to construct the amplitude and phase error calculation equation; Step 6: Correct the amplitude and phase error of the array received signal; Step 7: Solve for the adaptive weights.
[0006] Preferably, step 2 specifically comprises: During array rotation, elements 1 to 4 constitute the array receiving system, and element 5 serves as an auxiliary element to correct amplitude and phase errors, resulting in a total of 5 receiving channels. The entire rotating array signal receiving model can then be represented as:
[0007] in For the array to receive snapshot data vectors, Let be the complex envelope vector of the signal. To receive the number of interference signals, For the array to receive noise vector, This is the array rotation guide vector matrix.
[0008] Preferably, step 3 specifically comprises: Taking array element 5 as the reference array element, the time difference between the received signals of different array elements consists of two parts, which can be represented by the array rotation steering vector as follows:
[0009] in
[0010]
[0011] Indicates the signal wavelength. Indicates the first Each signal incident angle, Represents the speed of light; Preferably, step 4 specifically comprises: After signal reception, the signal undergoes down-conversion, filtering, and A / D conversion in sequence. The amplitude and phase error of the array is expressed as the error caused by the inconsistency between the amplitude and phase of the receiving channels of each array element, and is independent of azimuth.
[0012] in Indicates the first The amplitude and phase error parameters of each array element and These represent the amplitude error parameter and the phase error parameter, respectively. For narrowband signals, when amplitude-phase inconsistency occurs between channels, channel errors and inconsistencies between different frequency signals are ignored, and it is determined that the problem occurs at the center frequency. Therefore, a correction error factor is selected for each channel, and the result of multiplying this complex number by each channel is used as the correction result. Thus, the data received by the array when amplitude-phase error exists is represented as follows:
[0013] Preferably, step 5 specifically comprises: Assume the correction source signal is For angled incidence, the rotating array platform receives only one incident angle correction source signal at a time. Therefore, the eigenvector corresponding to the largest eigenvalue after eigenvalue decomposition of the received signal covariance matrix is the eigenvector of the actual incident direction, expressed as:
[0014] in For unknown constants, This represents the eigenvector corresponding to the largest eigenvalue after eigenvalue decomposition of the received data covariance matrix; Indicates the steering vector of the correction source signal. The steering vector matrix representing the actual array reception; Expanding the above equation, we get:
[0015] Using the auxiliary array element channel as the reference channel, the unknown constants are... ,in For feature vectors The first element; From the above formula, we can see that for different receiving channels:
[0016] in There are unknown parameters. , and To solve the above equations, a precision turntable is used to control the rotation of the array. and have to:
[0017] in , By solving the above set of equations, the channel amplitude and phase error parameters and the incident angle of the correction source can be obtained. Preferably, step 6 specifically comprises: Constructing the amplitude and phase error correction matrix ,satisfy:
[0018] The corrected array received data is then represented as:
[0019] Preferably, step 7 specifically comprises: The covariance matrix obtained from the maximum likelihood estimation is calculated using the sampling covariance matrix inversion algorithm in adaptive beamforming.
[0020] in It is the number of snapshots. According to the minimum variance criterion for spatial adaptive beamforming, the adaptive weight matrix is expressed as: .
[0021] An electronic device includes a processor and a memory; the memory is used to store a computer program, and the processor is used to execute the computer program stored in the memory to enable the electronic device to perform the above-described conformal array rotation anti-interference amplitude and phase error correction design method.
[0022] A computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the above-described conformal array rotation anti-interference amplitude and phase error correction design method.
[0023] A chip includes a processor for calling and running a computer program from a memory, causing a device equipped with the chip to perform the above-described conformal array rotation anti-interference amplitude and phase error correction design method.
[0024] The beneficial effects of this invention are as follows: Compared with traditional array amplitude and phase error correction schemes, the present invention has a simple system structure and is easy to implement. It can accurately correct the amplitude and phase errors caused by the array receiving channel without the need for a specific algorithm, effectively solving the receiving channel mismatch problem and improving the array's anti-interference performance. Attached Figure Description
[0025] Figure 1 This is a schematic diagram of the cross-section of the array structure; Figure 2 This is a schematic diagram of an array rotating receiver model; Figure 3 The radiation pattern after amplitude and phase error correction; Figure 4 The radiation pattern before amplitude and phase error correction; Figure 5 A schematic diagram showing the comparison of the input-output signal-to-interference-plus-noise ratio before and after correction; Detailed Implementation The present invention will be further described below with reference to the accompanying drawings and embodiments.
[0026] To achieve the application of adaptive beamforming algorithms in conformal rotating arrays, effectively eliminate channel mismatch caused by amplitude and phase errors, ensure good algorithm performance even under high input signal-to-noise ratio (SNR), and effectively improve the array's anti-interference capability, this invention proposes a robust anti-interference method for amplitude and phase error correction of conformal rotating arrays based on auxiliary array elements. This method differs from traditional amplitude and phase error correction methods by employing auxiliary antennas to correct the amplitude and phase errors of different array element receiving channels, effectively reducing the amplitude and phase errors of each channel and solving the model mismatch problem.
[0027] This invention proposes a design scheme for amplitude and phase error correction of conformal array rotation anti-interference. It corrects the amplitude and phase error of conformal rotating array based on auxiliary array elements, achieves robust anti-interference, and solves the model mismatch problem.
[0028] The technical solution of this invention is as follows: Step 1: The first array model used is a four-element conformal rotating array, with the array structure as follows: Figure 1 As shown. Element 5 is an omnidirectional antenna, embedded inside the cylinder; elements 1-4 are unidirectional antennas, symmetrically distributed along the sides of the cylinder. The cylinder's radius is... During the signal reception process, the array model moves at an angular velocity Rotate clockwise at a constant speed, assuming all signals are narrowband signals.
[0029] Step 2: Construct the array system signal receiving model. During array rotation, elements 1-4 constitute the array receiving system, and element 5 serves as an auxiliary element to correct amplitude and phase errors, resulting in a total of 5 receiving channels. The entire rotating array signal receiving model can then be represented as:
[0030] in For the array to receive snapshot data vectors, Let be the complex envelope vector of the signal. For the array to receive noise vector, This is the array rotation guide vector matrix.
[0031] Step 3: Construct the rotational guide vector model. Figure 2 For the array rotation receiving model, taking array element 5 as the reference array element, the time difference of the received signals from different array elements consists of two parts, and the array rotation steering vector can be expressed as:
[0032] in:
[0033]
[0034] Step 4: Construct the amplitude and phase error model. After signal reception, the signal undergoes down-conversion, filtering, and A / D conversion. Due to device aging, quantization noise, and other factors, differences in the amplitude and phase of the received signal exist between different channels. The amplitude and phase error of the array can be expressed as the error caused by the inconsistency in the amplitude and phase of the receiving channels of each array element, and is independent of azimuth, i.e.:
[0035] in Indicates the first The amplitude and phase error parameters of each array element and These represent the amplitude error parameter and the phase error parameter, respectively.
[0036] For narrowband signals, when amplitude-phase inconsistency occurs between channels, the channel errors and inconsistencies of different frequency signals can be ignored and considered to occur at the center frequency. Therefore, a correction error factor can be selected for each channel, and the result of multiplying this complex number by each channel is used as the correction result. Thus, the data received by the array when amplitude-phase error exists can be represented as:
[0037] Step 5: Construct the amplitude and phase error calculation equation. In engineering applications, the location of the correction source is difficult to know precisely. If the DOA method is used directly for estimation, it will be affected by the amplitude and phase error of the array. This paper controls the array rotation by a precision turntable and performs measurements at multiple angles. By using the received signals at different angles, the coupling between the angle of arrival phase deviation and the amplitude and phase error of the correction source is decoupled, thereby achieving the purpose of source correction. At the same time, the amplitude and phase error parameters of different channels are solved.
[0038] Assuming the correction source signal is For angled incidence, the rotating array platform receives only one incident angle correction source signal at a time. Therefore, the eigenvector corresponding to the largest eigenvalue after eigenvalue decomposition of the received signal covariance matrix is the eigenvector of the actual incident direction, expressed as:
[0039] in For unknown constants, This represents the eigenvector corresponding to the largest eigenvalue after eigenvalue decomposition of the received data covariance matrix. Expanding the above equation yields:
[0040] Using the auxiliary array element channel as the reference channel, the unknown constants are... ,in For feature vectors The first element.
[0041] From the above formula, we can see that for different receiving channels:
[0042] in There are unknown parameters. , and To solve the above equations, a precision turntable is used to control the rotation of the array. and We can obtain:
[0043] in , By solving the above set of equations, the channel amplitude and phase error parameters and the incident angle of the correction source can be obtained.
[0044] Step 6: Amplitude and phase error correction of the array received signal. The amplitude and phase error matrix can be solved using the method described above. In order to correct the amplitude and phase errors of the received signal, an amplitude and phase error correction matrix is constructed. ,satisfy:
[0045] The corrected array received data can then be expressed as:
[0046] Step 7: Solve for the adaptive weights. Based on the algorithm for inverting the sampling covariance matrix in adaptive beamforming, we can calculate the covariance matrix obtained from the maximum likelihood estimation as follows:
[0047] in It is the number of sample snapshots.
[0048] According to the minimum variance criterion (MNV) for spatial adaptive beamforming, the adaptive weight matrix can be expressed as:
[0049] This weighting can enable a robust adaptive beamformer at the receiver of the rotating platform, effectively suppressing interference signals and improving the anti-interference capability of the rotating array.
[0050] Example: Basic experimental setup: The array model used is a four-element conformal rotating array, with the array structure as follows: Figure 1 As shown. Where the radius... angular velocity of rotation .
[0051] Experiment 1: Studying the comparison of radiation patterns before and after amplitude and phase error correction. Assume the array model receives three signals during the test: one target signal and two interference signals. The direction of the target signal. and The interference signals are categorized by direction, with an input signal-to-noise ratio (SNR) of -10dB and two interference powers of 40dB and 40dB respectively. Assume the amplitude errors of the four channels are 1.5dB, 2dB, 2.5dB, and 3dB, and the phase error is 10° for each. Figure 3 , Figure 4 The radiation patterns after amplitude and phase error correction and before correction are given respectively. It can be seen from the figure that the radiation pattern after correction forms a deep null in the direction of interference, which effectively suppresses the interference signal; the null position of the radiation pattern before correction is deviated and the null depth is shallow.
[0052] Experiment 2: Investigating the relationship between input and output signal-to-interference-plus-noise ratio (SNR) before and after amplitude and phase error correction. The basic experimental assumptions are the same as above, with the input SNR increasing from -40dB to 40dB in 5dB increments. Figure 5 A comparison chart of the input and output signal-to-interference-plus-noise ratio (SNR) before and after amplitude and phase error correction is given. It can be seen from the chart that the output SNR after correction is significantly better than the output SNR before correction before SNR=10dB. After SNR=10dB, the difference between the two output SNR is small.
Claims
1. A conformal array rotation anti-interference amplitude and phase error correction design method, characterized in that, Includes the following steps: Step 1: Assume the array model is a four-element conformal rotating array, comprising 5 elements. Element 5 is an omnidirectional antenna, embedded inside the cylinder. Elements 1 to 4 are unidirectional antennas, symmetrically distributed on the sides of the cylinder. The radius of the cylinder is... During the signal reception process of the array, the array model moves at an angular velocity Rotates clockwise at a constant speed; assume all signals are narrowband signals. Step 2: Construct a signal reception model for the array system; Step 3: Calculate the rotational guidance vector based on the radius and angular velocity of the rotating platform, and construct the rotational guidance vector model; Step 4: Construct a rotating array channel amplitude and phase error model; Step 5: Solve for the covariance matrix and perform eigenvalue decomposition on the received data to construct the amplitude and phase error calculation equation; Step 6: Correct the amplitude and phase error of the array received signal; Step 7: Solve for the adaptive weights.
2. The conformal array rotation anti-interference amplitude and phase error correction design method according to claim 1, characterized in that, Step 2 specifically involves: During array rotation, elements 1 to 4 constitute the array receiving system, and element 5 serves as an auxiliary element to correct amplitude and phase errors, resulting in a total of 5 receiving channels. The entire rotating array signal receiving model can then be represented as: in For the array to receive snapshot data vectors, Let be the complex envelope vector of the signal. To receive the number of interference signals, For the array to receive noise vector, This is the array rotation guide vector matrix.
3. The conformal array rotation anti-interference amplitude and phase error correction design method according to claim 2, characterized in that, Step 3 specifically involves: Taking array element 5 as the reference array element, the time difference between the received signals of different array elements consists of two parts, which can be represented by the array rotation steering vector as follows: in Indicates the signal wavelength. Indicates the first Each signal incident angle, It represents the speed of light.
4. The conformal array rotation anti-interference amplitude and phase error correction design method according to claim 3, characterized in that, Step 4 specifically involves: After signal reception, the signal undergoes down-conversion, filtering, and A / D conversion in sequence. The amplitude and phase error of the array is expressed as the error caused by the inconsistency between the amplitude and phase of the receiving channels of each array element, and is independent of azimuth. in Indicates the first The amplitude and phase error parameters of each array element and These represent the amplitude error parameter and the phase error parameter, respectively. For narrowband signals, when amplitude-phase inconsistency occurs between channels, channel errors and inconsistencies between different frequency signals are ignored, and it is determined that the problem occurs at the center frequency. Therefore, a correction error factor is selected for each channel, and the result of multiplying this complex number by each channel is used as the correction result. Thus, the data received by the array when amplitude-phase error exists is represented as follows: 。 5. The conformal array rotation anti-interference amplitude and phase error correction design method according to claim 4, characterized in that, Step 5 specifically involves: Assume the correction source signal is For angled incidence, the rotating array platform receives only one incident angle correction source signal at a time. Therefore, the eigenvector corresponding to the largest eigenvalue after eigenvalue decomposition of the received signal covariance matrix is the eigenvector of the actual incident direction, expressed as: in For unknown constants, This represents the eigenvector corresponding to the largest eigenvalue after eigenvalue decomposition of the received data covariance matrix; Indicates the steering vector of the correction source signal. The steering vector matrix representing the actual array reception; Expanding the above equation, we get: Using the auxiliary array element channel as the reference channel, the unknown constants are... ,in For feature vectors The first element; From the above formula, we can see that for different receiving channels: in There are unknown parameters. , and To solve the above equations, a precision turntable is used to control the rotation of the array. and have to: in , By solving the above set of equations, the channel amplitude and phase error parameters and the incident angle of the correction source can be obtained.
6. The conformal array rotation anti-interference amplitude and phase error correction design method according to claim 5, characterized in that, Step 6 specifically involves: Constructing the amplitude and phase error correction matrix ,satisfy: The corrected array received data is then represented as: 。 7. The conformal array rotation anti-interference amplitude and phase error correction design method according to claim 6, characterized in that, Step 7 specifically involves: The covariance matrix obtained from the maximum likelihood estimation is calculated using the sampling covariance matrix inversion algorithm in adaptive beamforming. in It is the number of snapshots. According to the minimum variance criterion for spatial adaptive beamforming, the adaptive weight matrix is expressed as: 。 8. An electronic device, characterized in that, include: Processor and memory; The memory is used to store a computer program, and the processor is used to execute the computer program stored in the memory to cause the electronic device to perform the method as described in any one of claims 1 to 7.
9. A computer-readable storage medium having a computer program stored thereon, characterized in that, When the computer program is executed by a processor, it implements the method as described in any one of claims 1 to 7.
10. A chip, characterized in that, include: A processor for retrieving and running a computer program from memory, causing a device on which the chip is mounted to perform the method as described in any one of claims 1 to 7.