The Wavelet Aanalysis Method of Stationary Random Processes

Luo Shaoming; Zhang Xiangwei

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Luo Shaoming, Zhang Xiangwei. The Wavelet Aanalysis Method of Stationary Random Processes[J]. Applied Mathematics and Mechanics, 1998, 19(10): 859-864.

Citation:

Luo Shaoming, Zhang Xiangwei. The Wavelet Aanalysis Method of Stationary Random Processes[J]. Applied Mathematics and Mechanics, 1998, 19(10): 859-864.

Citation:

Luo Shaoming, Zhang Xiangwei. The Wavelet Aanalysis Method of Stationary Random Processes[J]. Applied Mathematics and Mechanics, 1998, 19(10): 859-864.

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The Wavelet Aanalysis Method of Stationary Random Processes

Shantou University, Shantou, Guangdong 515063, P.R.China

Received Date: 1997-04-04
Rev Recd Date: 1998-05-08
Publish Date: 1998-10-15

Abstract

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.
- wavelet transform,
- spectral analysis,
- correlation function

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References(5)

References

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[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.