Steering vector and covariance matrix joint iteration robust beam forming method

A technology of covariance matrix and steering vector, which is applied in the field of robust beamforming and adaptive beamforming of joint iteration of steering vector and covariance matrix, and can solve the problem of unaccounted for array element position error, amplitude and phase error, limited performance improvement, interference Add noise covariance matrix mismatch and other problems to achieve the effect of improving constraint ability, improving estimation ability, and fully output without distortion

Active Publication Date: 2018-11-23
XIDIAN UNIV
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  • Application Information

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Problems solved by technology

However, this method needs to know accurate array structure information, that is, only the signal direction of arrival error is considered, and the array element position error, amplitude phase error, etc. are not considered, and there is interference and noise covariance matrix mismatch in the actual working environment
[0008] The diagonal loading method mentioned above can improve the performance of the snapshot, but there is a phenomenon of "self-elimination" of the desired signal under the strong desired signal; the subspace method c

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  • Steering vector and covariance matrix joint iteration robust beam forming method
  • Steering vector and covariance matrix joint iteration robust beam forming method
  • Steering vector and covariance matrix joint iteration robust beam forming method

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Embodiment 1

[0032] Adaptive beamforming technology particularly focuses on the undistorted output of the desired signal while ensuring sufficient suppression of the interference signal, which requires accurate estimation of the desired signal steering vector and the interference-plus-noise covariance matrix, while existing subspace algorithms and constrained optimization algorithms The steering vector of the desired signal cannot be accurately estimated, and the loading algorithm and the interference noise covariance matrix cannot accurately estimate the interference plus noise covariance matrix. Therefore, the present invention proposes a robust beam with joint iterations of the steering vector and the covariance matrix through innovative research. Formation method, see figure 1 , including the following steps:

[0033] Step (1) Receive echo data: the radar echo data received by the uniform line array at time t is X(t), and the uniform line array consists of M array elements arranged in ...

Embodiment 2

[0058] Steering vector and covariance matrix joint iterative robust beamforming method is the same as embodiment 1, the convex optimization equation described in step 5 is established, and the expected signal steering vector error orthogonal component e is estimated ⊥ It is realized by the following formula:

[0059]

[0060]

[0061] Denotes the unupdated desired signal-steering vector of the kth iteration, Represents the sampling covariance matrix, U N Denotes the estimated noise subspace, U J Represents the estimated interference subspace, ε represents a small relaxation factor (greater than 0), the objective function ensures that the updated expected signal power is greater than the unupdated expected signal power by maximizing the expected signal power, and the first constraint is based on noise The orthogonality between the subspace and the signal interference subspace ensures that the updated desired signal is closer to the signal interference subspace, the s...

Embodiment 3

[0064] Steering vector and covariance matrix joint iteration robust beamforming method is the same as embodiment 1-2, the initialization desired signal steering vector described in step 3 Specifically, it is assumed that k is the current number of iterations, the initial value of k is 0, and the approximate angle interval of the expected signal is Θ. The approximate angle interval of the expected signal can be obtained by using some low-resolution angle estimation methods, using the sampling covariance matrix combined with the Capon power spectrum Reconstruct the expected signal matrix Q in the approximate interval Θ, decompose the eigenvalues ​​of the expected signal matrix Q, and obtain the eigenvector corresponding to its maximum eigenvalue, that is, the initial estimate of the expected signal steering vector Including the following steps:

[0065] 3.1(a) Use the Capon power spectrum to reconstruct the desired signal matrix Q:

[0066]

[0067] a(θ) is the spatial ste...

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Abstract

The invention discloses a steering vector and covariance matrix joint iteration robust beam forming method, and solves the problem of the expected signal steering vector and interference-plus-noise covariance matrix estimation in the adaptive beam forming technology. The implementation process is that the sample covariance matrix is estimated by using the radar echo data acquired by the array; theexpected signal steering vector and interference-plus-noise covariance matrix is initialized; the convex optimization equation is established to estimate the expected signal steering vector error; the steering vector and the covariance matrix are updated, and alternating iteration is performed until the optimal estimation of the steering vector and the covariance matrix is obtained; and the weight value is calculated and robust beam forming is realized. The expected signal steering vector constraint capacity is enhanced when the direction of arrival and array calibration errors coexist, the expected signal estimation interference-plus-noise covariance matrix is accurately eliminated from the sample covariance matrix and the 'self-elimination ' phenomenon of the expected signal can be avoided and thus the method can be used for realizing adaptive beam forming under the condition of existence of the direction of arrival and array calibration errors.

Description

technical field [0001] The invention belongs to the field of array signal processing, and mainly relates to the estimation problem of a desired signal steering vector and an interference-plus-noise covariance matrix in adaptive beamforming, specifically a robust beamforming method for joint iteration of steering vectors and covariance matrices, which can be used in arrays Adaptive beamforming under calibration error. Background technique [0002] Adaptive beamforming technology is widely used in aviation, spaceflight, radar and communication systems. It improves the output Signal to Interference and Noise Ratio (SINR) by forming gain in the desired signal direction and null in the interference direction. However, in the actual working environment, there are array element position errors, channel amplitude and phase errors, etc., resulting in deviations in the steering vector constraints of the desired signal. Theoretical studies have shown that when there is constraint devi...

Claims

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Application Information

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IPC IPC(8): G01S7/28G01S7/285G01S7/35
CPCG01S7/2813G01S7/285G01S7/352
Inventor 杨志伟张攀陈颖许华健王小强
Owner XIDIAN UNIV
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