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Co-prime array wave arrival direction estimation method based on interpolation virtual array signal atom norm minimization

A direction-of-arrival estimation and virtual array technology, applied in the field of signal processing, can solve problems such as model mismatch errors, increased computational complexity, and signal direction-of-arrival that cannot be completely placed

Active Publication Date: 2017-11-03
ZHEJIANG UNIV
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  • Application Information

AI Technical Summary

Problems solved by technology

With the improvement of the accuracy requirements of the direction of arrival estimation results, these DOA estimation methods need to pre-set the spatial grid points will become more and more dense, which leads to a sharp increase in computational complexity
Not only that, in actual situations, it is inevitable that the direction of arrival of some signals cannot completely fall on the preset grid points, resulting in inherent model mismatch errors

Method used

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  • Co-prime array wave arrival direction estimation method based on interpolation virtual array signal atom norm minimization
  • Co-prime array wave arrival direction estimation method based on interpolation virtual array signal atom norm minimization
  • Co-prime array wave arrival direction estimation method based on interpolation virtual array signal atom norm minimization

Examples

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example 1

[0095] 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. Assume that the number of incident narrowband signals is 9, and the incident direction is evenly distributed in the space angle range of -50° to 50°; the signal-to-noise ratio is set to 30dB, and the number of sampling snapshots is T = 500; the regularization parameter μ is set to 0.25.

[0096] The spatial power spectrum of the coprime array DOA estimation method based on the minimization of the atomic norm of the interpolated virtual array signal proposed by the present invention is as follows: Figure 6 , 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 effectively distinguish the nine incident signal sources. However, for the traditional uni...

example 2

[0097] 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 2, and the incident direction is -0.5° to 0.5°, and the other parameter settings are consistent with the simulation example 1. Depend on Figure 7 From the normalized spatial spectrum shown, it can be seen that the method proposed in the present invention can effectively distinguish the directions of arrival of the two short-distance signal sources, which illustrates the good resolution performance of the method.

[0098] In summary, the method proposed in the present invention makes full use of all the information on the non-uniform virtual array, and can realize effective estimation of the incident signal when the number of signal sources is greater than or equal to the number of physical antennas, increasing t...

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Abstract

The invention discloses a co-prime array wave arrival direction estimation method based on interpolation virtual array signal atom norm minimization. The objective of the invention is to solve the problem of an information loss caused by non-uniformity of a virtual array in the prior art. The method comprises following steps that a receiving end constructs a co-prime array; based on the co-prime array, an incidence signal is received and modeling is performed; an equivalence virtual signal corresponding to the a co-prime array receiving signal is calculated; an interpolation virtual array is constructed and modeling is performed; a multi-sampling snapshot signal of the interpolation virtual array and a sampling covariance matrix thereof are constructed; a projection matrix is constructed and projection calculation related to the projection matrix is defined; an optimization problem based on the interpolation virtual array signal atom norm minimization is designed and solved; and direction-of-arrival estimation is performed according to the reconstructed interpolation virtual array covariance matrix. According to the invention, the freedom degree and the resolution of the direction-of-arrival estimation are improved and the method 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 of radar signals, acoustic signals and electromagnetic signals, in particular to a method for estimation of direction of arrival of coprime arrays based on minimization of atomic norms of interpolated virtual array signals, Can be used for passive positioning and target 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] The degree of freedo...

Claims

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Application Information

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IPC IPC(8): G01S3/14
CPCG01S3/14
Inventor 周成伟樊星史治国陈积明
Owner ZHEJIANG UNIV
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