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Optical Engineering

Hyperbolic wavelet power spectra of nonstationary signals
Author(s): Khoa Nguyen Le; Kishor P. Dabke; Gregory K. Egan
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Paper Abstract

The hyperbolic kernel and hyperbolic wavelet were shown to be useful and effective in time-frequency signal processing (Le et al., 2001 and 2003). We introduce the time-frequency wavelet power spectrum as a useful technique to study signal characteristics in which the hyperbolic and sym3 wavelets are employed. The hyperbolic wavelet power spectrum technique is employed for signals including electrocardiogram (ECG), sinusoidal, transient exponential, music, and speech. Comparisons between the Fourier power spectrum technique and hyperbolic wavelet power spectrum technique are also made.

Paper Details

Date Published: 1 October 2003
PDF: 21 pages
Opt. Eng. 42(10) doi: 10.1117/1.1608002
Published in: Optical Engineering Volume 42, Issue 10
Show Author Affiliations
Khoa Nguyen Le, Griffith Univ., Gold Coast Campus (Australia)
Kishor P. Dabke, Monash Univ. (Australia)
Gregory K. Egan, Monash Univ. (Australia)


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