乘性和加性噪声中复谐波恢复的乘积型循环统计量方法

Product Cyclic Statistics based Approach to Harmonic Retrieval in Multiplicative and Additive Stationary Noise

本文提出了乘积型循环统计量的概念,利用这一概念讨论了乘性和加性平稳噪声条件下的谐波恢复问题。首先从理论上证明了循环均值的样本估计误差服从零均值渐近正态分布,提出采用乘积型循环均值来抑制噪声,并给出了基于乘积型循环统计量的谐波估计的具体方法,仿真实验验证了该算法的有效性。

The harmonic retrieval in multiplicative and additive noise is discussed in this paper after a concept of product cyclic statistics being introduced. Firstly, the asymptotic normality of estimated error of cyclic mean is proved theoretically, Then an approach based on product cyclic statistics and clean algorithm is proposed. Finally, simulation results validate the new method.