提出了一类适用于Alpha稳定分布随机变量的统计量—类M估计相关(MELC),通过构造阵列输出的类M估计相关矩阵,提出了适用于Alpha稳定分布噪声环境下的波达方向(DOA)估计新算法,即MELC-MUSIC算法。仿真实验表明,在Alpha稳定分布噪声环境下,MELC-MUSIC算法在抗噪声特性、多源信号分辨性以及对不同形式信号(圆对称信号或非圆对称信号)的适应性方面获得比基于分数低阶统计量(FLOS)的MUSIC方法更好的估计性能。
A novel class of bounded statistics, namely, the M-estimate like correlation (MELC) for independently identi- cal distributed symmetric alpha-stable ( SaS ) random variables was defined. Based on the MELC matrix for the array sensor outputs, a new algorithm for direction of arrival (DOA) estimation in the presence of complex SaS noise was proposed. The comprehensive Monte-Carlo simulation results show that the MELC-MUSIC algorithm not only outper- forms the fractional lower order statistics (FLOS) based MUSIC algorithms under low SNR conditions and multi-source signals environment, but also is robust with circular and noncircular signals.