有限采样影响下秩减估计器的波达方向估计性能分析

摘要

The DOA estimation performance of the rank reduction estimator(RARE) in the case of finite samples was studied. Based on the perturbation theorem associated with the orthogonal projection matrix of the signal (or noise) sub-space, the first-order and second-order formulas for the DOA estimation errors of the RARE were derived. Then, the closed-form expressions for mean square error (MSE), bias and direction finding (DF) success probability of the RARE were presented. A variety of numerical experiments concerning some important RARE are conducted to verify the theo-retical analysis.%　　首先从理论上分析有限采样影响下秩减估计器的波达方向估计性能，然后基于信号(或噪声)子空间的正交投影矩阵扰动定理，分别推导秩减估计器方位估计偏差的一阶和二阶闭式表达式，在此基础上给出其方位估计均方误差、偏置以及测向成功概率的理论计算公式，最后针对若干重要的秩减估计器给出数值实验，实验结果验证了所提理论推导的有效性。