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An Underdetermined Direction Finding Method for Coprime Matrix Based on Atomic Norm

A norm and atomic technology, which is applied in the field of underdetermined direction finding of coprime arrays based on atomic norms, can solve problems such as non-noise processing, underutilization, and increased computational complexity, so as to improve accuracy and avoid fundamental indeterminacy. The effect of matching problems

Active Publication Date: 2021-07-30
HANGZHOU DIANZI UNIV
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Problems solved by technology

Although both algorithms can realize underdetermined direction finding without mesh, in the NMM algorithm, the noise is not processed when interpolating the virtual signal at the position of the missing virtual array element
While the CA-VAI algorithm discards some elements in the covariance matrix when obtaining the output signal of the virtual array, it does not make full use of all the information provided by the signal, and this method interpolates the covariance matrix to form a multi-measurement vector The optimization method leads to an increase in computational complexity

Method used

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  • An Underdetermined Direction Finding Method for Coprime Matrix Based on Atomic Norm
  • An Underdetermined Direction Finding Method for Coprime Matrix Based on Atomic Norm
  • An Underdetermined Direction Finding Method for Coprime Matrix Based on Atomic Norm

Examples

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example 1

[0095] Simulation example 1: Select M=3, N=5, that is, use an extended coprime array containing N+2M-1=10 physical array elements to receive incident signals, and the array aperture is 25d; assume that there are 21 uncorrelated signal sources Evenly distributed in the angular range of [25.84°, 154.15°]. The signal-to-noise ratio is set to 20dB, the number of sampling snapshots is 500, and the regularization parameter is set to 1. The spatial power spectrum of the coprime array underdetermined direction finding method based on the atomic norm proposed by the present invention is as follows: Figure 4 As shown, the position of the vertical dotted line in the figure is the actual direction of the incident signal source. It can be seen that the method proposed in the present invention can effectively distinguish these 21 information sources. The traditional direction-of-arrival estimation method using a uniform linear array can only resolve 9 incident signals with 10 physical...

example 2

[0096] Simulation example 2: The extended coprime array is used to receive the incident signal, and its parameters are also selected as M=3, N=5, that is, the extended coprime array of the architecture contains N+2M-1=10 physical antenna elements; assuming 12 remote The incident direction of the field narrowband plane wave signal is evenly distributed between 25° and 155°, and a random distribution of -0.1°-0.1° offset is added to each incident direction to better show the performance of the algorithm. Algorithm proposed by the present invention and LASSO algorithm, SS-MUSIC algorithm, low-rank matrix denoising (LRD) algorithm, nuclear norm minimization (NNM) algorithm and some existing algorithms based on virtual array element interpolation (CA-VAI) Algorithms using coprime arrays are compared. The regularization parameters in LASSO algorithm, LRD algorithm, CA-VAI algorithm and the algorithm proposed by the present invention are 1.5, 10, 0.25 and 1 respectively, and the gr...

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Abstract

The invention discloses a coprime array underdetermined direction finding method based on the atomic norm. In the invention, the antenna of the receiving end is structured according to the coprime array; modeling is performed according to the received signal of the array; the output signal of the virtual array is calculated; and the interpolation is initialized Output signal; design an optimization method based on atomic norm to restore the interpolated output signal; reconstruct the covariance matrix of the interpolated virtual uniform linear array signal; estimate the direction of arrival based on the reconstructed covariance matrix. The present invention interpolates the discontinuous virtual linear array of the coprime array to the virtual homogeneous array through interpolation, which makes full use of the degrees of freedom and array element information of the coprime array; when vectorizing the covariance matrix to obtain the output signal of the virtual array, The signals at the same position are averaged, so that the information of the signal can be fully utilized than directly selecting the first signal at the same position; the base mismatch problem of the traditional sparse representation method can be avoided, and denoising is introduced when optimizing the problem operation, improving the accuracy of direction finding.

Description

technical field [0001] The invention belongs to the technical field of array signal processing, and in particular relates to the measurement of the direction of arrival of an incident signal, in particular to an underdetermined direction-finding method of a coprime array based on an atomic norm. Background technique [0002] Direction-of-arrival (DOA) estimation refers to the use of array receiving antennas to receive airspace signals and estimate the direction of arrival of signals through a series of signal processing techniques and optimization methods. It has important applications in military and civilian fields such as wireless communication. [0003] The degree of freedom of direction finding refers to the number of array elements that can be effectively used by the array. The array degree of freedom of the traditional DOA estimation method is limited by the number of physical array elements. When the number of signal sources is greater than the number of array elem...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01S3/14
CPCG01S3/14
Inventor 潘玉剑姚敏罗国清潘柏操高晓欣
Owner HANGZHOU DIANZI UNIV
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