An Improved Direction Finding Algorithm Based on Toeplitz Approximation

Sensors

Qing Wang²  Hua Chen¹  Guohuang Zhao²  Bin Chen² 

[1] School of Electronic and Information Engineering, Tianjin University, Tianjin 300072, China;

关键词: DOA estimation;    fourth order cumulants;    MUSIC-like;    Toeplitz approximation;    spatially-white noise;    spatially-color noise;   

DOI  :  10.3390/s130100746

来源: mdpi

【 摘 要 】

In this paper, a novel direction of arrival (DOA) estimation algorithm called the Toeplitz fourth order cumulants multiple signal classification method (TFOC-MUSIC) algorithm is proposed through combining a fast MUSIC-like algorithm termed the modified fourth order cumulants MUSIC (MFOC-MUSIC) algorithm and Toeplitz approximation. In the proposed algorithm, the redundant information in the cumulants is removed. Besides, the computational complexity is reduced due to the decreased dimension of the fourth-order cumulants matrix, which is equal to the number of the virtual array elements. That is, the effective array aperture of a physical array remains unchanged. However, due to finite sampling snapshots, there exists an estimation error of the reduced-rank FOC matrix and thus the capacity of DOA estimation degrades. In order to improve the estimation performance, Toeplitz approximation is introduced to recover the Toeplitz structure of the reduced-dimension FOC matrix just like the ideal one which has the Toeplitz structure possessing optimal estimated results. The theoretical formulas of the proposed algorithm are derived, and the simulations results are presented. From the simulations, in comparison with the MFOC-MUSIC algorithm, it is concluded that the TFOC-MUSIC algorithm yields an excellent performance in both spatially-white noise and in spatially-color noise environments.

【 授权许可】

CC BY   
© 2013 by the authors; licensee MDPI, Basel, Switzerland.