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No-grid co-prime array DOA (direction of arrival) estimation method based on virtual array interpolation

A technology of direction of arrival estimation and virtual array, which is applied in the field of signal processing and can solve the problems of incomplete signal direction of arrival, increased computational complexity, model mismatch error, etc.

Active Publication Date: 2017-08-29
ZHEJIANG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • 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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  • No-grid co-prime array DOA (direction of arrival) estimation method based on virtual array interpolation
  • No-grid co-prime array DOA (direction of arrival) estimation method based on virtual array interpolation
  • No-grid co-prime array DOA (direction of arrival) estimation method based on virtual array interpolation

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example 1

[0090] 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.

[0091] The spatial power spectrum of the gridless coprime array DOA estimation method based on virtual array interpolation proposed by the present invention is as follows: Image 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 uniform linear array method, only 6 incident...

example 2

[0092] 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 signals, which illustrates the good resolution performance of the method.

[0093] 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 the gridless estimation of the incident signal when the number of signal sources is greater than or equal to the number of physical antennas, increasing the D...

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Abstract

The invention discloses a no-grid co-prime array DOA (direction of arrival) estimation method based on virtual array interpolation, and mainly solves a problem of information loss caused by the heterogeneity of 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 receiving signal of the co-prime array; constructing an interpolation virtual array, and carrying out the modeling; constructing a multi-sampling snapshot signal of the interpolation virtual array and a sampling covariance matrix; constructing a projection matrix, and defining projection calculation correlated with the projection matrix; designing an optimization problem based on the minimization of the nuclear norm of the signal covariance matrix of the interpolation virtual array, and solving the optimization problem; and carrying out the estimation of the DOA according to the reconstructed covariance matrix of the interpolation virtual array. The method improves the DOA estimation freedom degree and resolution, 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 for radar signals, acoustic signals and electromagnetic signals, in particular to a method for estimation of direction of arrival of a gridless coprime array based on virtual array interpolation, 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 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 freedom of the DOA estimati...

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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