Method and device for estimation of DOA under failure of nested array elements based on matrix filling

Abstract

The present invention proposes a method for estimating the direction of arrival of a nested array element based on matrix filling. The method includes: calculating the received signal covariance matrix of the virtual optimized array according to the received signal x(t) of the nested array array and converting the virtual The received signal covariance matrix of the optimized array is extended to the covariance matrix of the uniform array to establish a convex optimization problem that complements the zero elements in the covariance matrix of the uniform array, and the premise that the non-zero elements in the covariance matrix of the uniform array remain unchanged , the sum of the singular values ​​of the covariance matrix of the uniform array is minimized; the fixed-point continuation algorithm in matrix filling is used to solve the convex optimization problem to obtain the optimal value R V ; for the optimal value R V Carry out eigendecomposition to obtain the noise subspace, thereby constructing the MUSIC spectrum, and realizing DOA estimation through spectral peak search. The invention not only uses all the virtual array elements of the sparse array to perform DOA estimation, retains the advantages of the nested array itself, but also uses a matrix filling algorithm to fill more array elements to perform DOA estimation.

Description

Technical field [0001] The present invention belongs to the field of wireless communication, and in particular, the present invention relates to a gear estimation method and apparatus in the failure of a matrix-filled nested array element. Background technique [0002] Direction Of Arrival, DOA is an important direction in the field of array signal processing. The positioning and tracking of the signal is estimated to achieve a large number of domestic and foreign scholars to study, and widely used in sonas. , Radar, communication, meteorological, exploration, biomedical technology and civilian fields. [0003] Due to the restriction of Nyquist sampling theory, it has become the most common array structure in the convention of the tradition, and its adjacent intervals are less than half wavelength equal to the incident signal. However, if you want to improve the DOA estimation accuracy and resolution, increase the estimated number of signals, you must increase a large number of l...

AI Technical Summary

Problems solved by technology

However, these are all proposed based on the traditional full-array line array or area array. The problem of array element failure in sparse arrays is still a hot and difficult point in current research.

Images