Skip to main content
Log in

The wavelet analysis method of stationary random processes

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Richard E. Mortensen,Random Signals and Systems, John Wiley & Sons, New York (1987), 1–80.

    Google Scholar 

  2. Charles K. Chui,An Introduction to Wavelet, Academic Press Inc., New York (1991), 60–64.

    Google Scholar 

  3. Qing Qianging, et al.,Applied Wavelet Analysis, Xi'an Electronic Science and Technoloty University Press, Xi'an (1994), 4–17. (in Chinese)

    Google Scholar 

  4. Zhang Shiqing, et al., Wavelet analysis method to the signals with infinite energy,Journal of Chongqing University,19, 4 (1996), 53–59. (in Chinese)

    Google Scholar 

  5. Liu Guizhong, et al.,Wavelet Analysis and Its Application, Xi'an Electron Science and Technology University Press, Xi'an (1992). 17–30. (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Project supported by the Ph.D Program Foundation of Education Committee of China (9461108)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shaoming, L., Xiangwei, Z. The wavelet analysis method of stationary random processes. Appl Math Mech 19, 929–935 (1998). https://doi.org/10.1007/BF02457952

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02457952

Key words

Navigation