乘性噪声中的谐波恢复

The Problem of Harmonic Retrieval in Multiplicative Noise

研究在乘性噪声均值先验知识未知情况下的谐波恢复问题。提出了基于一阶、二阶循环统计量的混合方法(FSCSH)和基于一阶、三阶统计量的混合方法(FTCSH),即先利用一阶循环统计量得到对应非零均值乘性噪声的谐波频率,再求出与谐波频率对应的乘性噪声均值,最后用二阶或三阶循环统计量来恢复谐波。仿真结果证实了该方法的有效性。

The problem of harmonic retrieval without priority of the means of multiplicative noise is studied. The methods of the firstand secondorder cyclic statisticsbased hybrid (FSCSH) and the firstand thirdorder cyclic statisticsbased hybrid (FTCSH) are proposed. Using first order cyclic statistics, the frequencies of harmonics corresponding to nonzero mean multiplicative noise are obtained first, then the means of multiplicative noise can be estimated. With that, harmonics can be retrieved by second or third order cyclic statistics. Simulation results have confirmed the algorithm.