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Direction of arrival estimation method based on co-prime array virtual domain equivalent signal atom norm expression

A direction of arrival estimation and virtual domain technology, applied in radio wave direction/deviation determination systems, direction finders using radio waves, etc., can solve problems such as model mismatch and inability to represent

Active Publication Date: 2017-12-01
ZHEJIANG UNIV
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Problems solved by technology

However, the classic atomic norm definition cannot be directly applied to the statistical signal processing problem based on the virtual domain, because the equivalent received signal in the virtual domain of the coprime array is actually a second-order statistic, and the power information of each signal source contained in it is real However, the signal waveform parameters in the first-order received signal of the actual physical antenna element are complex numbers, which contain both the amplitude and phase information of the signal; therefore, there is a model mismatch in the representation of the atomic norm of the second-order equivalent received signal in the virtual domain problem, it cannot be directly represented by the classic atomic norm definition

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  • Direction of arrival estimation method based on co-prime array virtual domain equivalent signal atom norm expression
  • Direction of arrival estimation method based on co-prime array virtual domain equivalent signal atom norm expression
  • Direction of arrival estimation method based on co-prime array virtual domain equivalent signal atom norm expression

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[0136] Simulation example: 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 2M+N-1=10 physical array elements in total. Assume that the number of incident narrowband signals is 12, and the incident direction is evenly distributed in the space angle range of -60° to 60°; the signal-to-noise ratio is set to 10dB, and the number of sampling snapshots is T=500; the regularization parameter μ is set to 0.25.

[0137]The spatial power spectrum of the direction of arrival estimation method based on the atomic norm representation of the equivalent signal in the coprime array virtual domain proposed by the present invention is as follows: Figure 5 , 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 12 incident signal sources. For the traditiona...

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Abstract

The invention discloses a direction of arrival estimation method based on co-prime array virtual domain equivalent signal atom norm expression. A problem of definition mismatch between a conventional atom norm definition and a co-prime array virtual domain equivalent signal model is solved. The direction of arrival estimation method comprises steps that a receiving end adopts a co-prime array to receive a signal, and modeling is carried out; an equivalent virtual signal corresponding to a co-prime array receiving signal is deduced; a theoretical model of a co-prime array virtual domain second-order equivalent multi-sampling fast beating signal is formed; the atom norm definition of the co-prime array virtual domain equivalent signal is acquired; an optimization problem based on the co-prime array virtual domain equivalent signal atom norm expression is set to re-establish a virtual domain covariance matrix; according to the re-established virtual domain covariance matrix, the direction of arrival estimation is carried out. The direction of arrival estimation method based on the co-prime array virtual domain equivalent signal atom norm expression is advantageous in that improvement of freedom degree performance is guaranteed, and at the same time, the non-meshing direction of arrival estimation is realized, and the method is used for passive detection and target positioning.

Description

technical field [0001] The invention belongs to the technical field of statistical signal processing, and in particular relates to a signal processing technology based on high-order statistics in a sparse array virtual domain, specifically a direction of arrival estimation method based on an atomic norm representation of an equivalent signal in a coprime array virtual domain, which can be used for passive detection and target location. Background technique [0002] The coprime array is a typical manifestation of the coprime sampling technology in the space domain. It provides a systematic sparse array architecture solution, which can break through the bottleneck of the limited degree of freedom of the traditional uniform linear array and realize various statistical signal processing methods. DoF performance improvements. Compared with uniform linear arrays, coprime arrays can use the same number of physical antenna elements to obtain more degrees of freedom to achieve direc...

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Application Information

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IPC IPC(8): G01S3/14
Inventor 周成伟史治国陈积明
Owner ZHEJIANG UNIV
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