Performance Analysis of the MUSIC Algorithm for Noncircular Signals with Modeling Errors

LIU Jian; YU Hong-qi; HUANG Zhi-tao; ZHOU Yi-yu

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Performance Analysis of the MUSIC Algorithm for Noncircular Signals with Modeling Errors

更新时间：2025-07-16

- Performance Analysis of the MUSIC Algorithm for Noncircular Signals with Modeling Errors
- Acta Electronica Sinica Vol. 36, Issue 12, Pages: 2280-2284(2008)
- 作者机构：
  
  1. 空军工程大学电讯工程学院,陕西,西安,710077
  2. 国防科技大学电子科学与工程学院,湖南,长沙,410073
  3. 空军工程大学电讯工程学院陕西西安,710077
  4. 国防科技大学电子科学与工程学院湖南长沙,410073
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.7
- Published Online：25 December 2008，
  
  Published：2008
- 稿件说明：
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LIU Jian, YU Hong-qi, HUANG Zhi-tao, et al. Performance Analysis of the MUSIC Algorithm for Noncircular Signals with Modeling Errors[J]. Acta Electronica Sinica, 2008, 36(12): 2280-2284.
DOI：

LIU Jian, YU Hong-qi, HUANG Zhi-tao, et al. Performance Analysis of the MUSIC Algorithm for Noncircular Signals with Modeling Errors[J]. Acta Electronica Sinica, 2008, 36(12): 2280-2284. DOI：

摘要

近年来

针对非圆信号的测向算法已陆续提出

对这些算法的渐近性能及Cramer-Rao界的分析也已见报道

但仍未涉及模型误差对此类算法影响的分析.本文概括介绍了用于非圆信号测向的MUSIC(Multiple Signal Classification)算法

对其空间谱函数进行一阶泰勒展开

得到了测向误差的表达式

从而求得测向均方误差统计意义上的表达式.仿真实验验证了推导的正确性

并由理论结果分析了模型误差条件下测向误差与角度间隔和非圆相位差的关系.

Abstract

In recent years

a number of direction-finding algorithms for noncircular signals are proposed.The asymptotic performance and Cramer-Rao Bound (CRB) have been analyzed in the literatures.However

the robustness of these algorithms with modeling errors is out of range of the published papers.In this paper

the MUSIC algorithm for noncircular signals is introduced.The closed-form expression of mean square error is obtained from the first-order perturbation expansion of the spatial spectrum function.The simulation results validate our analysis.The robustness to the angular separation and the noncircularity phase with modeling errors is analyzed by virtue of the analytical results.

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