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  

Harmonic Retrieval in Colored Non-GaussianNoise Based on Fourth-Order Cumulant Noise Modeling

作　　者：张严[1] 王树勋[1] 

机构地区：[1]吉林工业大学电子工程系

出　　处：《电子学报》1998年第4期1-6,共6页Acta Electronica Sinica

基　　金：国家自然科学基金

摘　　要：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Ｈｉｌｂｅｒｔ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，并且适用于谐波信号存在二次相位耦合情形。仿真实验验证了文中结论．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.

关 键 词：谐波恢复 非高斯有色噪声 四阶累积量 信号处理 

分 类 号：TN911.4[电子电信—通信与信息系统] TN911.7[电子电信—信息与通信工程]