Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm

WANG Ding; WANG Chao; WU Ying

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Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm

更新时间：2024-10-14

- Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm
- Vol. 31, Issue 4, Pages: 55-63(2010)
- 作者机构：
  
  解放军信息工程大学信息工程学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.7
- Published：2010
- 稿件说明：
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WANG Ding, WANG Chao, WU Ying. Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm[J]. 2010, 31(4): 55-63.
DOI：

WANG Ding, WANG Chao, WU Ying. Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm[J]. 2010, 31(4): 55-63. DOI：

摘要

基于正交投影矩阵扰动定理

推导了幅相误差条件下MUSIC算法空域谱的一阶统计表达式

并且给出了一种求解平均信噪比分辨门限的一元二次方程

从而能够计算出相应的信噪比分辨门限。相比目前已有的方法

空域谱的一阶统计表达式不需要计算理想协方差矩阵的特征值和特征向量

仅需要已知阵列流型向量和信源协方差矩阵

并且给出的平均信噪比分辨门限适用于信源功率不一致的情况。数值实验验证了理论分析的正确性。

Abstract

Based on the perturbation theorem of orthogonal projection matrix

the first-order statistical expression of spatial spectrum of the MUSIC algorithm was deduced and a quadratic equation for solving the mean signal-to-noise ra-tio（SNR） resolving threshold was derived

through which the corresponding SNR resolution threshold could be obtained. Compared to currently existing method

the first-order statistical expression of spatial spectrum only involves array manifold vector and source covariance matrix instead of the eigenvalue and eigenvector of the ideal array covariance matrix

besides

the mean SNR resolving threshold is suitable in the presence of power difference of two signal sources. Numerical experiments validate the correctness of theoretical analysis.

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