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有色噪声在物理小波变换下功率谱分布研究
引用本文:郑庆庆,高静怀.有色噪声在物理小波变换下功率谱分布研究[J].武汉科技大学学报(自然科学版),2006,29(1):98-101.
作者姓名:郑庆庆  高静怀
作者单位:1. 武汉科技大学,湖北,武汉,430081
2. 西安交通大学,陕西,西安,710049
摘    要:借鉴Christopher Torrence等利用噪声小波功率谱的统计特性检测有效信号的方法,研究有色噪声在匹配地震子波的物理小波(以下简称物理小波)下的功率谱分布规律,Monte Carlo仿真结果表明,该功率谱服从x2^2分布,这是在小波域辩识有效信号和噪声的基础。利用假设检验的统计学方法,可以确定有效信号能量分布空间。

关 键 词:有色噪声  物理小波  小波功率谱
文章编号:1672-3090(2006)01-0098-04
收稿时间:2005-02-28
修稿时间:2005-02-28

The Mean Power Spectrum Distribution of Colored Noise via Physical Wavelet Transform
ZHENG Qing-qing,GAO Jing-huai.The Mean Power Spectrum Distribution of Colored Noise via Physical Wavelet Transform[J].Journal of Wuhan University of Science and Technology(Natural Science Edition),2006,29(1):98-101.
Authors:ZHENG Qing-qing  GAO Jing-huai
Abstract:This paper studies the mean power spectrum distribution of colored noise via physical wavelet transform. It is found that the spectrum complies with chi-square distribution, which has been proved by Monte Carlo simulating experiment. This result provides a foundation for distinguishing significant signal from noise in wavelet domain. By using hypothesis and probability testing, the method of determining the space of energy distribution of significant signal is proposed.
Keywords:colored noise  physical wavelet  wavelet power spectrum
本文献已被 CNKI 维普 万方数据 等数据库收录!
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