东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2006, Vol. 27 ›› Issue (1): 29-32.DOI: -

• 论著 • 上一篇    下一篇

子带分解在ESPRIT算法中的应用

薛延波;汪晋宽;刘志刚;   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院;东北大学信息科学与工程学院 辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-23 修回日期:2013-06-23 出版日期:2006-01-15 发布日期:2013-06-23
  • 通讯作者: Xue, Y.-B.
  • 作者简介:-
  • 基金资助:
    河北省教育厅科学研究指导计划项目(Z2004103);;

Application of subband decomposition to ESPRIT algorithm

Xue, Yan-Bo (1); Wang, Jin-Kuan (1); Liu, Zhi-Gang (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2006-01-15 Published:2013-06-23
  • Contact: Xue, Y.-B.
  • About author:-
  • Supported by:
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摘要： ESPRIT算法是一种用于信号到来角(DOA)估计的直接求解方法,其性能在低信噪比(SNR)和信号相关时会严重削弱.基于此提出了一种多分辨率DOA估计算法基于子带分解的ESPRIT算法(SB-ESPRIT),通过对全带信号进行子带分解,并对每个叶节点分别应用ESPRIT算法,最后通过映射算法将估计所得的DOA映射到全带信号.对于子带分解后旋转不变性的证明为其应用提供了理论依据.仿真结果证明,SB-ESPRIT不仅提高了特征子空间方法的分辨率,而且在子带划分适当的情况下,具有一定的信号去相关能力,并且其均方误差(RMSE)小于ESPRIT算法.

关键词: ESPRIT, 子带分解, 频率映射, SB-ESPRIT, RMSE

Abstract: ESPRIT algorithm is a direct DOA estimation method, of which the performance degrades greatly if the signal-to-noise ratio (SNR) is low and signals correlate with each other. A multi-resolution algorithm for DOA estimation is therefore presented, namely the subband-based ESPRIT algorithm (SB-ESPRIT), which takes advantage of the subband decomposition of fullband signals then estimates the subband DOAs via ESPRIT method. A mapping-back manipulation is used to map the estimated subband spatial frequencies onto the fullband ones. The rotational invariance of the subband signals is also proven. Simulation results showed that SB-ESPRIT will not only improve the resolution of eigenstructure-based method but also decouple the coherent signals if the subbands are properly decomposed. The root mean square error (RMSE) of SB-ESPRIT is also lower than that of ESPRIT.

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