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平稳随机过程的小波分析方法
引用本文:骆少明,张湘伟.平稳随机过程的小波分析方法[J].应用数学和力学,1998,19(10):859-864.
作者姓名:骆少明  张湘伟
作者单位:汕头大学
摘    要:利用小波变换对平稳随机过程进行了谱分析,在小波变换的基础上给出了平稳随机过程的时—频功率谱及联合平稳随机过程的时—频互功率谱的概念,并详尽地研究了它们所具有的性质及与传统功率谱的关系·

关 键 词:小波变换  谱分析  相关函数

The Wavelet Aanalysis Method of Stationary Random Processes
Luo Shaoming,Zhang Xiangwei.The Wavelet Aanalysis Method of Stationary Random Processes[J].Applied Mathematics and Mechanics,1998,19(10):859-864.
Authors:Luo Shaoming  Zhang Xiangwei
Abstract:The spectral analysis of stationary random processes is studied by using wavelet transform method. On the basis of wavelet transform, the conception of time_frequency power spectral density of random processes and time_frequency cross_spectral density of jointly stationary random processes are presented. The characters of the time_frequency power spectral density and its relationship with traditional power spectral density are also studied in details.
Keywords:wavelet transform  spectral analysis  correlation function
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