关键词: alpha稳定分布噪声, 分数低阶共变, 共变谱, Myriad滤波器, 分数低阶music算法

Abstract: A new method of prefiltering in frequency domain is adopted in this paper.The main idea of this method is the observation that harmonics in ?α stable noise show themselves as outliers in frequency domain.The signal is transferred to frequency domain through fractional lower order convariation.In frequency domain，using adaptive weighted Myriad filter to remove outliers impulse from data，the convariation spectrum of stable noise can be gotten，stable color noise can be converted to stable white noise in farther.Last，the convariation spectrum of signal is estimated with music method based on fractional lower order convariation.The simulation results show that this method gets relatively perfect effect in 1<α<2 nonlinear metric space，without knowing any of statistical characteristics of α stable noise.

Key words: Alpha stable distribution noise, fractional lower order convariation, convariation spectrum, Myriad filter, fractional lower order music algorithm