A fourth-order cumulant orthonormal propagator rooting method based on Toeplitz approximation

EURASIP Journal on Wireless Communications and Networking

Shan Jiang¹  Lizhu Zhang²  Heping Shi²  Zhiwei Guan³  Ning Ma⁴ 

[1] CATARC Testing and Certification Business Division, China Automotive Technology and Research Center Co., Ltd, 300300, Tianjin, China;School of Automobile and Transportation, Tianjin University of Technology and Education, 300222, Tianjin, China;School of Automobile and Transportation, Tianjin University of Technology and Education, 300222, Tianjin, China;Tianjin Sino-German University of Applied Sciences, 300350, Tianjin, China;School of Electronic Engineering, Tianjin University of Technology and Education, 300222, Tianjin, China;

关键词: Direction-of-arrival (DOA);    Fourth-order cumulants (FOC);    Polynomial rooting;    Toeplitz approximation;    Orthonormal propagator method (OPM);   

DOI  :  10.1186/s13638-020-01806-1

来源: Springer

【 摘 要 】

A novel Toeplitz fourth-order cumulant (FOC) orthonormal propagator rooting method (TFOC ‐ OPRM) of direction-of-arrival (DOA) estimation for uniform linear array (ULA) is proposed in this paper. Specifically, the modified (i.e., reduced-dimension) FOC  (MFOC) matrix is achieved at first via removing the redundant information encompassed in the primary FOC matrix; then, the TFOC matrix which possesses Toeplitz structure can be recovered by utilizing the Toeplitz approximation method. To reduce the computational complexity, an effective method based on the polynomial rooting technology is adopted. Finally, the DOAs of incident signals can be estimated by exploiting orthonormal propagator rooting method. The theoretical analysis coupled with simulation results show that the proposed resultant algorithm can reduce the computational complexity significantly, as well as improve the estimation performance in both spatially white noise environment and spatially color noise environment.

【 授权许可】

CC BY