Characterization extraction and reconstruction of signals by the ridges of continuous wavelet transform

Zhang Xiaodong; Wang Qiao; Wu Lenan

Volume 25 Issue 7

Jul. 2003

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Zhang Xiaodong, Wang Qiao, Wu Lenan . Characterization extraction and reconstruction of signals by the ridges of continuous wavelet transform[J]. Journal of Electronics & Information Technology, 2003, 25(7): 878-883.

Citation:

Zhang Xiaodong, Wang Qiao, Wu Lenan . Characterization extraction and reconstruction of signals by the ridges of continuous wavelet transform[J]. Journal of Electronics & Information Technology, 2003, 25(7): 878-883.

Citation:

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Characterization extraction and reconstruction of signals by the ridges of continuous wavelet transform

Received Date: 2002-01-17
Rev Recd Date: 2002-06-28
Publish Date: 2003-07-19

Abstract

Abstract

The theory of detecting ridges in the modulus of the continuous wavelet transform is presented as well as reconstructing signal by using information on ridges. Application of the theory on speech signal is discussed in detail. Experimental result shows that as for signals with highest frequency at 4kHz, 3~5 ridges is enough to describe all of the information contained in the signal. The reconstructed signal reserves most of the necessary information of the original signal.

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References

S. Mallat, S. Zhang, Matching pursuit with time-frequency dictionaries, IEEE Trans. on Signal Processing, 1993, SP-41(12), 3397-3415.[2]N. Delprat, et al., Asymptotic wavelet and Gabor analysis: Extraction of instantaneous frequencies, IEEE Trans. on Info. Theory, 1992, IT-38(2), 644-664.[3]R. Carmona, W. L. Hwang, B. Torresani, Characterization of signals by the ridges of their wavelet transforms, IEEE Trans. on Signal Processing, 1997, SP-45(10), 2586-2590.[4]R. Carmona, W. L. Hwang, B. Torresani, Multiridge detection and time-frequency reconstruction,IEEE Trans. on Signal Processing, 1999, SP-47(2), 480-492.[5]R. Carmona, W. L. Hwang, B. Torresani, Practical Time-Frequency Analysis, San Diego, Academic Press, 1998, Chapter 8.

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