Co-prime array wave arriving direction estimation method based on virtual array covariance matrix sparse reconstruction

A technology of direction of arrival estimation and covariance matrix, which is applied in the field of signal processing and can solve the problems of increased computational complexity and hardware complexity of the system, and inability to perform DOA estimation.

Inactive Publication Date: 2017-08-04
ZHEJIANG UNIV
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Problems solved by technology

Therefore, when the number of incident signal sources in a certain space range is greater than or equal to the number of antenna elements in the array, the existing method using a uniform linear array will not be able to perform effective DOA estimation
[0004] In order to increase the degree of freedom, the traditional method needs to be i

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  • Co-prime array wave arriving direction estimation method based on virtual array covariance matrix sparse reconstruction
  • Co-prime array wave arriving direction estimation method based on virtual array covariance matrix sparse reconstruction
  • Co-prime array wave arriving direction estimation method based on virtual array covariance matrix sparse reconstruction

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[0093] Simulation example 1: The first type of coprime array is used to receive the incident signal, and its parameters are selected as M=3, N=5, that is, the coprime array of the structure includes Q=M+N-1=7 physical antenna array elements. Assume that the number of incident narrowband signals is 7, and the incident direction is evenly distributed in the spatial angle range of -60° to 60°; the angle domain range of the direction of arrival angle is [-90°,90°], the spatial domain grid The point uniform sampling interval is set to 0.1°; the regularization parameter ξ is set to 0.25; the signal-to-noise ratio is set to 0dB, and the number of sampling snapshots K=500.

[0094] The spatial power spectrum of the coprime array direction of arrival estimation method based on sparse reconstruction of the virtual array covariance matrix proposed by the present invention is as follows Image 6 As shown, the vertical dashed line represents the actual direction of the incident signal source. ...

Example Embodiment

[0095] Simulation example 2: The second type of coprime array is used to receive the incident signal, and the parameters are selected as M=3, N=5, that is, the coprime array of the architecture includes Q=2M+N-1=10 physical antenna elements; Assuming that the number of incident narrowband signals is 15, the other parameter settings are consistent with the simulation example 1. At this time, the number of consecutive virtual array elements on the virtual array is L=35, correspondingly, L v =17. by Figure 7 It can be seen from the space power spectrum shown that the method proposed in the present invention can effectively distinguish the direction of arrival and angle information of 15 incident signal sources by using only 10 physical antenna elements, which embodies the advantages in degree of freedom performance.

[0096] In summary, the method provided by the present invention can realize effective estimation of the incident signal when the number of signal sources is greater ...

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Abstract

The invention discloses a co-prime array wave arriving direction estimation method based on virtual array covariance matrix sparse reconstruction. In the prior art, a degree of freedom is limited by a number of physical antenna array elements. By using the method, the above problem is solved. The method comprises the following steps of (1) configuring a receiving end antenna according to a co-prime array structure; (2) using a co-prime array to receive a signal and carrying out modeling; (3) calculating an equivalent virtual signal corresponding to a co-prime array receiving signal; (4) constructing a virtual array covariance matrix; (5) designing a virtual array covariance matrix sparse reconstruction optimization problem and solving; and (6) through peak value search, acquiring a wave arriving direction estimation result. In the invention, an advantage that the co-prime array can increase degree of freedom performance is fully used; in a virtual domain, a covariance matrix sparse reconstruction method is introduced so as to realize wave arriving direction estimation so that increase of a degree of freedom is realized; 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 the estimation of the direction of arrival of radar signals, acoustic signals and electromagnetic signals, specifically a method for estimating the direction of arrival of a coprime array based on the sparse reconstruction of a virtual array covariance matrix, which 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 techniques and various optimization methods. Effective processing to realize signal DOA estimation has important application value in radar, sonar, voice, wireless communication and other fields. [0003] The degree of freedom of the DOA estimation method refer...

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Application Information

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IPC IPC(8): G01S3/14
CPCG01S3/14
Inventor 史治国周成伟陈积明
Owner ZHEJIANG UNIV
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