非高斯有色噪声中基于四阶累积量噪声建模的谐波恢复方法

本文提出一种在非高斯ＡＲＭＡ噪声中谐波恢复的高阶累积量方法，该方法首先通过Ｈｉｂｌｅｒｔ变换构造复数观测值，然后使用它的一种特殊的四阶累积量建立噪声过程ＡＲ参数，由此对观测值滤波，最后通过ＳＶＤ－ＴＬＳ方法估计谐波信号参数，本文方法克服了以往对非高斯噪声分布的非对称性假设，成功地解决了对称分布非高斯有色噪声中的谐波恢复问题，并且适用于于谐波信号存在二次相应耦合情形，仿真实验验证了文中结论。

非高斯有色噪声中基于四阶累积量噪声建模的谐波恢复方法

This paper proposes a higher order cumulant-based method for harmonic retrieval in non-Gaussian ABMA noise.Hilbert transform is used to transform the real measruements into their complex counter-part,then a kind of elaborately defined fourth-order cumulant of this complex measurements is employed to iden-tify the All parameters of the non-Gaussian noise. After prefiltering the noisy measurements with the identifiedAR polynomial,SVD-TLS method can be applied to retrieve harmonics.This method releases the asymmetrically-distributed assumption of the non-Gaussian noise and is also effcient when there is quadratic phase coupling inharmonics.Simulation examples are presented to support the result of this paper.