Extraction of Instantaneous Characteristics of Nonstationary
Signal Using Harmonic Wavelet Transforms

ZHU Hongjun

(College of Manufacturing Science and Engineering, Southwest University of Science and Technology, Mianyang 621010)

Abstract: The instantaneous characteristics of non-stationary signal are analyzed. Then non-stationary signal are transformed by using harmonic wavelet, and the relation between the wavelet coefficient and the instantaneous characteristics of non-stationary signal are introduced. The principle and method of the accurate extraction for the instantaneous characteristics of non-stationary signal by using harmonic wavelet transforms are presented. Examples of application demonstrate that this method presented can effectively extract the instantaneous characteristics of special components in the non-stationary signal and has high precision and good noise resisting ability. This method can realize simple and quick algorithm through Fourier transform, and real-time analysis of instant taneous characteristics of non-stationary signal.

Key words: Instantaneous characteristic Non-stationary signal Characteristic extraction Harmonic wavelet transforms

CLC No: TN911.7 TM303.2

四川省教育厅重点基金(200305011)和西南科技大学“十一•五”重点科研基金 (06zx2124) 资助项目. Received 20070519, received in revised form 20071225

References

[1] TANER M, KOEHLER F, SHERIFF R E. Complex seismic trace analysis[J]. Geophysics, 1979, 44: 1 041-1 063.
[2] GAO Jinhuai, DONG Xiaolong,WANG Wenbing, et al. Instantaneous parameters extraction via wavelet transform [J]. IEEE Trans on Geoscience and Remote Sensing, 1999, 37(2): 867-870.
[3] DELPRAT N, ESCUDIE B, GUILLEMAIN P, et al. Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies[J]. IEEE Trans on Inform Theory, 1992, 38(2): 644-664.
[4] NEWLAND D E. Harmonic wavelet analysis[C]// Proceedings of the Royal Society of London. A, 1993, 443(10): 203-225.
[5] LEON C. Time-frequency analysis: theory and applications [M]. New York: Prentice Hall, 1995.
[6] XU Peixia, SUN Gongxian. Wavelet analysis and applications[M]. Hefei: University of Science and Technology of China Press, 2001.