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Direction of Arrival Estimation Method Based on Interpolation Coprime Array Covariance Matrix Reconstruction

A technology of direction of arrival estimation and covariance matrix, applied in the field of signal processing, can solve the problems of loss of original information related to estimation performance and degradation, and achieve the effect of ensuring accuracy and increasing degrees of freedom

Active Publication Date: 2021-02-09
ZHEJIANG UNIV
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Problems solved by technology

However, the virtual array derived from the coprime array is a non-uniform array, which leads to the fact that many existing signal processing methods based on uniform linear arrays cannot be directly applied to the equivalent received signal of the virtual array to achieve DOA estimation.
A commonly used solution to DOA estimation methods using coprime arrays is to use only the continuous virtual array elements contained in the virtual array to perform DOA estimation, but this results in the loss of some original information and the reduction of related estimation performance.

Method used

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  • Direction of Arrival Estimation Method Based on Interpolation Coprime Array Covariance Matrix Reconstruction
  • Direction of Arrival Estimation Method Based on Interpolation Coprime Array Covariance Matrix Reconstruction
  • Direction of Arrival Estimation Method Based on Interpolation Coprime Array Covariance Matrix Reconstruction

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example 1

[0061] Simulation example 1: A coprime array is used to receive incident signals, and the 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, and the array aperture is 12d. Assume that there are 11 incoherent narrowband plane wave incident signals uniformly distributed in the spatial angle range of -50° to 50°, the signal-to-noise ratio is set to 0dB, the number of sampling snapshots is T = 500, and the regularization parameter μ is set to 0.25.

[0062] The spatial power spectrum of the DOA estimation method based on interpolation coprime array covariance matrix reconstruction proposed by the present invention is as follows: Figure 4 , where the vertical dashed line represents the actual direction of the incident signal source. It can be seen that the method proposed in the present invention can realize the effective resolution of the 11 incident signal sources by only using 7 physical array elem...

example 2

[0063] 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 that there is a remote Field narrow-band incident signal, the direction is randomly generated and satisfies the standard normal distribution with a mean of 0 degrees and a variance of 1 degree. The method proposed in the present invention will be compared with the sparse signal reconstruction method, the spatial smoothing covariance matrix multiple signal classification method and the multiple signal classification method using a uniform linear array. The root mean square error of each method varies with the signal-to-noise ratio and the number of sampling snapshots as follows: Figure 5 , Figure 6 shown, where Figure 5 Take the number of sampling snapshots as 500, Figure 6 Take the signal-to-noise ratio as 10dB. For the sparse signal reconstruction...

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Abstract

The invention discloses a direction of arrival estimation method based on covariance matrix reconstruction of an interpolated coprime array, which mainly solves the problem of information loss existing in the prior art based on virtual domain statistical signal processing. The implementation steps are: constructing a coprime array at the receiving end; using the coprime array to receive the incident signal and modeling; transforming the coprime array into a uniform linear array according to the idea of ​​interpolation, and constructing the corresponding received signal model; calculating the interpolation Sampling covariance matrix of coprime array; construct projection matrix corresponding to sampling covariance matrix of interpolation coprime array; design convex optimization problem based on kernel norm minimization to realize Toeplitz reconstruction of covariance matrix of interpolation coprime array ; Perform DOA estimation based on the reconstructed interpolated coprime array covariance matrix. The invention improves the degree of freedom and the accuracy of the estimation of the direction of arrival of the signal, and can be used for passive positioning and target detection.

Description

technical field [0001] The 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 a direction of arrival estimation method based on interpolation coprime array covariance matrix reconstruction, which can be used for passive Localization and object detection. Background technique [0002] Direction-of-Arrival (DOA) estimation is an important branch in the field of array signal processing. It refers to the use of array antennas to receive airspace signals, and to realize the statistics of received signals through modern signal processing technology and various optimization methods. The effective processing of the signal, so as to realize the DOA estimation of the signal, has important application value in the fields of radar, sonar, voice, wireless communication and so on. [0003] Uniform linear array is the most commonly u...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01S3/14
Inventor 周成伟史治国陈积明
Owner ZHEJIANG UNIV
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