基于谱分解的降阶求根MUSIC算法

闫锋刚; 刘秋晨; 邵多; 王军; 王坤; 金铭

doi:10.11999/JEIT170024

基于谱分解的降阶求根MUSIC算法

doi: 10.11999/JEIT170024

1.
(哈尔滨工业大学(威海) 威海 264209) ②(西安电子科技大学西安 710071) ③(中国人民解放军63891部队洛阳 471023)

基金项目:

国家自然科学基金(61501142)，中国博士后科学基金 (2015M571414)，威海市科技攻关和哈尔滨工业大学(威海)学科建设引导基金(WH20160107)，中央高校基本科研业务费专项资金(HIT.NSRIF.201725)

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出版历程
- 收稿日期: 2017-01-09
- 修回日期: 2017-05-22
- 刊出日期: 2017-10-19

Reduced-dimension Root-MUSIC Algorithm Based on Spectral Factorization

1.
(Harbin Institute of Technology at Weihai, Weihai 264209, China)
2.
(Xidian University, Xi&rsquo

Funds:

The National Natural Science Foundation of China (61501142), China Postdoctoral Science Foundation (2015M571414), Science and Technology Program of Weihai and Project Supported by Discipline Construction Guiding Foundation in Harbin Institute of Technology (Weihai) (WH20160107), The Fundamental Research Funds for the Central Universities (HIT.NSRIF.201725)

摘要

摘要: 求根多重信号分类(Root-MUSIC)算法以多项式求根代替谱峰搜索，降低了波达方向(DOA)估计的计算量，但当阵元数较大时，其计算量依然很大。为进一步降低计算量，该文提出一种降阶Root-MUSIC(RD-Root-MUSIC)算法。该算法基于谱分解将Root-MUSIC多项式的阶次降低一半，再根据矩阵特征多项式与求根多项式的关系构造友阵，采用Arnoldi迭代计算得到友阵的L个大特征值(L为信号数)并估计DOA。仿真结果表明，RD-Root-MUSIC估计精度与Root-MUSIC相近，但其在大阵元下具有比Root-MUSIC更低的计算量。
- 波达方向估计 /
- 求根多重信号分类算法 /
- 谱分解 /
- Arnoldi迭代 /
- 降阶Root-MUSIC
Abstract: The Root MUltiple SIgnal Classification (Root-MUSIC) algorithm uses polynomial rooting instead of spectral search to reduce the computational complexity of Direction-Of-Arrival (DOA) estimation. However, when large numbers of sensors are exploited, this algorithm is still time-consuming. To further reduce the complexity, a novel Reduced-Dimension Root-MUSIC (RD-Root-MUSIC) algorithm based on spectral factorization is proposed, in which the dimension of polynomial involved in the rooting step is efficiently reduced to half. A companion matrix whose eigenvalues correspond to the roots of the reduced-dimension polynomial is further constructed, and the Arnoldi iteration is finally used to calculate only the L largest eigenvalues containing DOA information, where L is the number of signals. Simulation results show that RD-Root-MUSIC has a similar performance with much lower complexity as compared to Root-MUSIC.

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参考文献(23)

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