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

张严; 王树勋

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

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- Harmonic Retrieval in Colored Non-GaussianNoise Based on Fourth-Order Cumulant Noise Modeling
- Acta Electronica Sinica Issue 4, (1998)
- 作者机构：
  
  吉林工业大学电子工程系
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911
- Published：1998
- 稿件说明：
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[1]张严,王树勋.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[J].电子学报,1998(04):1-6.

张严, 王树勋. Harmonic Retrieval in Colored Non-GaussianNoise Based on Fourth-Order Cumulant Noise Modeling[J]. Acta Electronica Sinica, 1998, (4).
[1]张严,王树勋.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[J].电子学报,1998(04):1-6. DOI：

张严, 王树勋. Harmonic Retrieval in Colored Non-GaussianNoise Based on Fourth-Order Cumulant Noise Modeling[J]. Acta Electronica Sinica, 1998, (4). DOI：

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．

Abstract

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.

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