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应用科学学报 ›› 2010, Vol. 28 ›› Issue (3): 289-296.

• 信号与信息处理 • 上一篇    下一篇

模型误差条件下MUSIC算法的测向成功概率

王鼎， 吴瑛   

  1. 解放军信息工程大学信息工程学院，郑州450002
  • 收稿日期:2009-10-12 修回日期:2010-03-04 出版日期:2010-05-21 发布日期:2010-05-21
  • 作者简介:王鼎，博士生，研究方向：阵列信号处理和无源定位，E-mail: wang_ding814@yahoo.com.cn；吴瑛，教授，博导，研究方向：数字信号处理、阵列信号处理及其DSP实现，E-mail: hnwuying22@163.com
  • 基金资助:

    解放军信息工程大学博士研究生学位论文创新基金(No.BSLWCX200801)资助

Success Probability of Direction-Finding of MUSIC Algorithm with Modeling Errors

WANG Ding, WU Ying   

  1. Institute of Information Engineering, PLA Information Engineering University, Zhengzhou 450002, China
  • Received:2009-10-12 Revised:2010-03-04 Online:2010-05-21 Published:2010-05-21

PDF

1519

被引次数

4

摘要：

测向成功概率是特征空间类算法的一项重要性能指标. 该文推导了模型误差条件下MUSIC算法的测向成功概率．通过对空域谱函数进行一阶Taylor展开得到MUSIC算法的测向误差及其统计特性，给出针对单个信源的测向成功和两类整体测向成功的定义，并结合模型误差的统计特性推导了针对单个信源和两类整体测向成功概率的计算公式．针对均匀圆阵和均匀线阵给出了仿真实验，结果表明理论值和仿真实验值能够较好地吻合，验证了理论推导的正确性．

关键词: 测向, 模型误差, MUSIC算法, 测向成功概率, Taylor级数展开, 高斯向量二次型

Abstract:

The direction-finding (DF) success probability is an important specification of the eigen-structure algorithm. We derive the DF success probability of the MUSIC algorithm in the presence of modeling errors. A closed-form expression of DF error and its statistical properties are obtained from the first-order Taylor expansion of the spatial spectrum function. Two classes of DF success definitions are given for single-source DF and holistic DF based on these definitions and statistical characteristics of the modeling errors. The calculation formulas of the DF success probability are derived. The theoretical analysis is validated through simulation using a uniform circular array (UCA) and a uniform linear array (ULA).

Key words: direction-finding, modeling errors, MUSIC algorithm, direction-finding success probability, Taylor expansion, quadratic form of Gaussian vector

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