Computationally efficient direction finding using polynomial rooting with reduced-order and real-valued computations  

作　　者：Fenggang Yan Yi Shen Ming Jin Xiaolin Qiao 

机构地区：[1]School of Information and Electrical Engineering, Harbin Institute of Technology [2]School of Astronautics, Harbin Institute of Technology at Weihai

出　　处：《Journal of Systems Engineering and Electronics》2016年第4期739-745,共7页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China(61501142);the Shandong Provincial Natural Science Foundation(ZR2014FQ003);the Special Foundation of China Postdoctoral Science(2016T90289);the China Postdoctoral Science Foundation(2015M571414)

摘　　要：The root multiple signal classification（root-MUSIC） algorithm is one of the most important techniques for direction of arrival（DOA） estimation. Using a uniform linear array（ULA） composed of M sensors, this method usually estimates L signal DOAs by finding roots that lie closest to the unit circle of a（2M-1）-order polynomial, where L 〈 M. A novel efficient root-MUSIC-based method for direction estimation is presented, in which the order of polynomial is efficiently reduced to 2L. Compared with the unitary root-MUSIC（U-root-MUSIC） approach which involves real-valued computations only in the subspace decomposition stage, both tasks of subspace decomposition and polynomial rooting are implemented with real-valued computations in the new technique,which hence shows a significant efficiency advantage over most state-of-the-art techniques. Numerical simulations are conducted to verify the correctness and efficiency of the new estimator.The root multiple signal classification（root-MUSIC） algorithm is one of the most important techniques for direction of arrival（DOA） estimation. Using a uniform linear array（ULA） composed of M sensors, this method usually estimates L signal DOAs by finding roots that lie closest to the unit circle of a（2M-1）-order polynomial, where L 〈 M. A novel efficient root-MUSIC-based method for direction estimation is presented, in which the order of polynomial is efficiently reduced to 2L. Compared with the unitary root-MUSIC（U-root-MUSIC） approach which involves real-valued computations only in the subspace decomposition stage, both tasks of subspace decomposition and polynomial rooting are implemented with real-valued computations in the new technique,which hence shows a significant efficiency advantage over most state-of-the-art techniques. Numerical simulations are conducted to verify the correctness and efficiency of the new estimator.

关 键 词：direction-of-arrival（DOA） estimation root multiple signal classification（root-MUSIC） real-valued computations reduced-order 

分 类 号：TN911.23[电子电信—通信与信息系统]