【摘要】 借鉴ChristopherTorrence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,MonteCarlo仿真结果表明,该功率谱服从χ22分布,这是在小波域辨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。更多还原

【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.更多还原