The Wavelet Aanalysis Method of Stationary Random Processes
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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。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 pewer spectral density of random processes and time-frequency cross-spectral density of jointly stationary random processes are presented. The characters of the timefrequency power spectral density and its relationship with traditional power spectral density are also studied in details.
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Key words:
- wavelet transform /
- spectral analysis /
- correlation function
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[1] Richard E.Mortensen,Random Signals and Systems,John Wiley&Sons,New York(1987),1-80. [2] Charles K.Chui,An Introduction to Wavelet,Academic Press Inc.,New York(1991),60-64. [3] 秦前清等,《实用小波分析》,西安电子科技大学出版社,西安(1994),4-17. [4] 张世清等,能量无限信号的小波分析方法,重庆大学学报,19(4)(1996),53-59. [5] 刘贵忠等,《小波分析及应用》,西安电子科技大学出版社,西安(1992),17-30.
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