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Co-prime array DOA (direction of arrival) estimation method based on interpolation virtual array covariance matrix Toeplitz reconstruction

A technology of direction of arrival estimation and covariance matrix, which is applied in the field of signal processing, can solve the problems of original information loss correlation estimation performance, degradation, and signal processing methods that cannot be directly applied to DOA estimation of equivalent received signals.

Active Publication Date: 2017-11-07
ZHEJIANG UNIV
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Problems solved by technology

However, since the virtual array derived from the coprime array is a non-uniform array, many existing signal processing methods based on uniform linear arrays cannot be directly applied to the DOA estimation of the equivalent received signal of the virtual array.
A commonly used solution for DOA estimation methods using coprime arrays is to use only the continuous array elements in the virtual array to form a virtual uniform linear array for DOA estimation, but this causes the loss of part of the original information and the related estimation performance reduction of

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  • Co-prime array DOA (direction of arrival) estimation method based on interpolation virtual array covariance matrix Toeplitz reconstruction
  • Co-prime array DOA (direction of arrival) estimation method based on interpolation virtual array covariance matrix Toeplitz reconstruction
  • Co-prime array DOA (direction of arrival) estimation method based on interpolation virtual array covariance matrix Toeplitz reconstruction

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example 1

[0092] 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 2.5×10 -3 / ((logT) 2 log(M+N-1)).

[0093] The spatial power spectrum of the coprime array DOA estimation method based on the Toeplitz reconstruction of the interpolated virtual array covariance matrix 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. ...

example 2

[0094] 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.

[0095] 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 DOA (direction of arrival) estimation method based on interpolation virtual array covariance matrix Toeplitz reconstruction, and mainly solves a problem of information loss caused by the heterogeneity in a virtual array in the prior art. The method comprises the implementation steps: constructing a co-prime array at a receiving end; receiving an incident signal through the co-prime array, and carrying out the modeling; calculating an equivalent virtual signal corresponding to the signal received by the co-prime array; constructing an interpolation virtual array and carrying out the modeling; constructing a multi-sampling snapshot signals of the interpolation virtual array and a sampling covariance matrix; constructing a projection matrix, and defining projection calculation related with the projection matrix; constructing a reference covariance matrix according to all information in an original virtual array, designing an optimization problem based on the interpolation virtual array covariance matrix Toeplitz reconstruction, and solving the optimization problem; and carrying out the DOA estimation according to the reconstructed interpolation virtual array covariance matrix. The method improves the freedom degree and resolution of signal DOA estimation, and can be used for the 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 Toeplitz reconstruction of interpolated virtual array covariance matrix, 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. 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 f...

Claims

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Application Information

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IPC IPC(8): G01S3/14G01S3/782G01S3/802
CPCG01S3/14G01S3/782G01S3/802
Inventor 周成伟樊星史治国陈积明
Owner ZHEJIANG UNIV
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