DOA (Direction of Arrival) estimation method and device under array element failure based on matrix filled nested array

Abstract

The invention provides a DOA estimation method under array element failure based on a matrix filled nested array. The method comprises that a reception signal covariance matrix of a virtual optimization array is calculated according to a reception signal x(t) of the nested array, the reception signal covariance matrix of the virtual optimization array is expanded into a covariance matrix of a uniform array, and a convex optimization problem in complementing zero elements in the covariance matrix of the uniform array is established, and on the premise that the non-zero elements in the covariance matrix of the uniform array are not changed, the sum of singular values of the covariance matrix of the uniform array is minimized; a fixed point prolongation algorithm in matrix filling is used tosolve the convex optimization problem to obtain an optimal value RV; and characteristic decomposition is carried out on the optimal value to obtain a noise subspace, a MUSIC score is constructed, andDOA estimation is realized by spectrum peak searching. DOA estimation is carried out by using all virtual element arrays in the sparse array, advantages of the nested array itself are reserved, and the matrix filling algorithm is used to fill more element arrays to carry out DOA estimation.

Description

technical field [0001] The invention belongs to the field of wireless communication, and in particular relates to a method and device for estimating a direction of arrival based on a matrix filling nested array element failure. Background technique [0002] Direction of Arrival (DOA) is an important direction in the field of array signal processing. The use of signal DOA estimation to realize signal positioning and tracking has attracted a large number of domestic and foreign scholars to conduct research, and is widely used in sonar , radar, communications, meteorology, exploration, biomedicine and other military technology and civilian fields. [0003] Due to the limitations of the Nyquist sampling theory, the full array has become the most common array structure in the tradition, and the distance between adjacent array elements is less than or equal to half the wavelength of the incident signal. However, if one wants to improve the DOA estimation accuracy and resolution a...

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However, these are all proposed based on the traditional full-array line array or area array. The pro

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