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Co-prime array direction or arrival estimation method based on interpolation virtual array covariance matrix subspace rotation invariance

A technology of direction of arrival estimation and covariance matrix, which is applied in the field of signal processing, can solve problems such as direction of arrival estimation errors and increased computational complexity

Active Publication Date: 2018-11-23
ZHEJIANG UNIV
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Problems solved by technology

This type of design has caused a contradiction between DOA estimation accuracy and computational complexity, that is, with the improvement of DOA estimation accuracy requirements, the gridded DOA estimation method needs to set a denser grid, resulting in a sharp increase in computational complexity
Not only that, but in practice, even if the grid points are relatively dense, in many cases the DOA of the signal cannot completely fall on the preset grid points. This base mismatch phenomenon also leads to the inherent DOA estimation error

Method used

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  • Co-prime array direction or arrival estimation method based on interpolation virtual array covariance matrix subspace rotation invariance
  • Co-prime array direction or arrival estimation method based on interpolation virtual array covariance matrix subspace rotation invariance
  • Co-prime array direction or arrival estimation method based on interpolation virtual array covariance matrix subspace rotation invariance

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example 1

[0102] Simulation example 1: A coprime array is used to receive incident signals, and its parameters are selected as M=3, N=5, that is, the coprime array of the structure contains M+N−1=7 physical array elements in total. First assume that the number of incident narrowband signals is 9, and the incident directions are uniformly distributed in the spatial angle range of -50° to 50°; then assume that the number of incident narrowband signals is 11, and the incident directions are also uniformly distributed at -50° to 50° in the space angle domain; the signal-to-noise ratio of the two simulations is set to 0dB, the number of sampling snapshots is T=500; the regularization parameter μ is set to 0.25.

[0103] The spatial spectrum of the coprime array DOA estimation method based on the interpolation virtual array covariance matrix subspace rotation invariance proposed by the present invention is as follows: Figure 5 and Figure 6 , where the horizontal axis represents the serial ...

example 2

[0104] Simulation example 2: Use a coprime array to receive incident signals, and its parameters are also selected as M=3, N=5, that is, the coprime array of the structure contains M+N-1=7 physical antenna elements; assuming an incident narrowband signal The number is 1, and the direction of arrival of the incident signal is randomly generated and satisfies the Gaussian distribution Comparison of root mean square error of DOA estimation under different signal-to-noise ratios Figure 7 As shown in , the number of sampling snapshots is 500, and each numerical point in the results shown in the simulation is obtained by averaging 1000 Monte Carlo experiments. The method proposed in the present invention will be compared with the kernel norm minimization method based on the idea of ​​matrix filling. Figure 7It is also given as a reference. It can be seen that as the signal-to-noise ratio increases, the method proposed in the present invention approaches the Cramereau boundary, ...

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Abstract

The invention discloses a co-prime array direction or arrival estimation method based on interpolation virtual array covariance matrix subspace rotation invariance, and mainly solves the error of direction or arrival estimation caused by information loss due to the heterogeneity of the virtual array and the base mismatch problem of the predefined space grid points in the prior art. The implementation steps are that a co-prime array is established; the co-prime array receives the signal to perform modeling and calculates the equivalent virtual signal; an interpolation virtual array is constructed and the virtual domain signal statistics is initialized; the optimization problem based on nuclear norm minimization is designed and solved so as to reconstruct the interpolation virtual array covariance matrix; the signal subspace of the interpolation virtual array covariance matrix is formed; two virtual subarray signal subspaces having rotation invariance are constructed; the transformationmatrix of the two virtual subarray signal subspaces is calculated; and the closed-form solution of direction or arrival estimation is formed. The degree of freedom and the accuracy of direction or arrival estimation can be enhanced and the method can be used for passive location and target detection.

Description

technical field [0001] The present invention belongs to the technical field of signal processing, and in particular relates to estimation of direction of arrival for radar signals, acoustic signals and electromagnetic signals, in particular to estimation of direction of arrival of coprime arrays based on subspace rotation invariance of interpolated virtual array covariance matrix The method can be used for passive localization and target detection. Background technique [0002] Direction-of-Arrival (DOA) estimation is one of the basic problems in the field of array signal processing. Effective processing, so as to obtain the DOA information of the signal, has important and extensive applications in radar, sonar, voice, wireless communication and other fields. [0003] The degree of freedom is one of the important indicators in the DOA estimation method, which refers to the number of incident signals that can be estimated. The current DOA estimation method is usually based ...

Claims

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Application Information

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IPC IPC(8): G01S3/14
CPCG01S3/14
Inventor 周成伟张宗煜史治国陈积明
Owner ZHEJIANG UNIV
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