Direction of Arrival Estimation Algorithm Based on Coprime Array

Abstract

The coprime array has attracted extensive attention because of its flexible antenna placement form and larger array aperture compared with the uniform array, which can obtain higher degrees of freedom and reduce the cost of hardware resources. Aiming at the weak accuracy and large amount of computation of SS-MUSIC algorithm, this paper proposes two DOA estimation algorithms with coprime array based on Toeplitz matrix reconstruction. Both algorithms use the virtual array formed by extended coprime array and reconstruct the covariance matrix. The reconstructed matrix is Toeplitz matrix, which is decomposed by eigenvalues to obtain the signal subspace and noise subspace, so as to obtain the incident angle of the signal. The simulation results show that the two algorithms can achieve underdetermined DOA estimation. Compared with the coprime SS-MUSIC algorithm, the direction finding errors of the two algorithms are reduced by 1.1 ° and 0.5 ° respectively at low signal-to-noise ratio of -5 dB, and have higher estimation accuracy, the running time is reduced by 45.9% and 69.1% respectively in the same situations, with lower computational complexity.

Keywords

• |array signal processing|doa estimation|coprime array|toeplitz matrix|matrix reconstruction