Direction-of-arrival estimation method for supernested arrays based on sparse reconstruction

Abstract

The invention discloses a direction-of-arrival estimation method for supernested arrays based on sparse reconstruction and relates to the field of array signal processing. The method comprises following steps: 1. a far-field incoherent signal is incident on a constructed supernested array structure to obtain an array receive signal; 2. vectorization is performed on covariance matrix of array received signals to obtain received signals of a virtual sensor; 3. the received signal of the virtual sensor is sparse to obtain the optimization function, and then the optimization function is solved toobtain the estimation value; 4. the spatial power spectrum is constructed according to the estimated value and the divided grid points, and the azimuth angle of the signal is estimated by searching. The invention solves the problem that the DOA estimation method of the existing nested array needs to divide the continuous sensors into mutually overlapping sub-arrays to reduce the degree of freedomdue to adopting a spatial smoothing algorithm; the effect of using virtual sensors between arrays to increase the degree of freedom of the array, using sparse reconstruction algorithm to maximize thenumber of estimated sources and reduce the error is achieved.

Description

technical field [0001] The invention relates to the field of array signal processing, in particular to a super-nested array DOA estimation method based on sparse reconstruction. Background technique [0002] Direction of Arrival (Direction of Arrival, DOA) estimation refers to the direction of arrival of the signal received in the estimation airspace, is a main research direction in the array signal processing, and the array signal reception model is particularly important to the direction of arrival estimation; Prior art Based on the MUSIC method and the spatial smoothing algorithm, the uniform linear array of N array elements can estimate the directions of N-1 signal sources at most, and there is a serious coupling between the array elements of the uniform linear array, which greatly reduces the estimation accuracy; Mutual coupling means that adjacent sensors will affect the output signal of the sensor. The smaller the distance between the sensor array elements, the greate...

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Problems solved by technology

[0003] The purpose of the present invention is: the present invention provides a super-nested array DOA estimation method based on sparse reconstruction, which solves the problem that the existing nested array DOA estimation method needs to divide continuous sensors due to the use of spatial smoothing algorithm. Problems causing reduced degrees of freedom for overlapping subarrays

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