DOA and polarization parameter estimation algorithm based on L-shaped coprime array

Abstract

Aiming at the underdetermined two-dimensional(2-D) direction-of-arrival(DOA) and polarization parameter estimation of L-shaped array, this paper established a data receiving model of three-quadrature dipole compression coprime array. In order to separate DOA and polarization parameter estimation, the self-covariance matrix without polarization parameter is constructed, and the virtual array without holes is obtained by vectorization operation, which greatly improves the continuous freedom of the array. At the same time, the 2-D DOA estimation is reduced to one dimensional(1-D) space, and two 1-D DOA are obtained by sparse representation method. An angle matching method based on Khatri-Rao product is proposed under the condition of degree of freedom(DOF) extension of polarization sensitive array. On this basis, the polarization parameter of the signal are obtained by the least square method. The simulation results show that the proposed L-shaped coprime array can achieve the array DOF extension. And the joint estimation of DOA and polarization parameters has higher direction finding accuracy and angle resolution than LV-MUSIC algorithm under the condition of low SNR.