An Array Position Error Calibration Method Based on Matrix Reconstruction for DOA Estimation

Abstract

Aiming at the problem that the array pattern has some deviation and disturbance caused by the array position error, which leads to the estimation performance degradation of direction of arrival (DOA) in multiple signal classification (MUSIC) algorithm, this paper uses Toeplitz preprocessing algorithm and proposes an array position error calibration algorithm based on matrix reconstruction theory. Firstly, the covariance matrix with array position error is preprocessed to restore the Toeplitz structure of the covariance matrix in the ideal case. Then, the nuclear norm optimization algorithm is utilized to construct a convex optimization function, the noise is suppressed for the processed covariance matrix, and this algorithm guarantees the accurate distribution of signal and noise subspace.Finally, the MUSIC algorithm is used to perform DOA estimation.Via the simulation results, the proposed algorithm improves the angular resolution of MUSIC algorithm with the existence of array position error, and decreases the effects leading by the low number of snapshots, thus it can increase the estimation accuracy.

Keywords

• |doa estimation|array calibration|music algorithm|toeplitz processing|matrix reconstruction