FOC-MUSIC与MUSIC算法的稳健性对比分析

Robustness Comparison of the Forth-Order Cumulant-Based MUSIC Algorithm and Covariance-Based MUSIC Algorithm in Presence of Sensor Errors

分析比较了阵元存在误差时基于四阶累积量的MUSIC方法(FOC-MUSIC)和基于协方差的MUSIC方法对波达方向的估计性能,给出了大样本情况下估计误差方差的统一公式,基于这个公式从理论上分析了前一种方法的稳健性优于后一种的原因。仿真结果表明:文中提出的理论比较结果与实际仿真结果吻合,在存在幅相误差的情况下,FOC-MUSIC算法的稳健性确实优于基于协方差的MUSIC算法。

In this paper, we analyse and compare the performances of estimation of direction-of-arrival （DOA） obtained using fourth-order-cumulant and covariance MUSIC methods in the presence of sensor errors. Under the condition of great samples, we provide a variance of the estimation errors, which has the same form for the two different methods. Based on this variance, we analyse why the FOC MUSIC method are robuster than covarlance-based MUSIC method. The computer simulations demonstrate that the conclusion is correct.