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Sinusoidal time-frequency wavelet family and its application in electrogastrographic signal analysis
Conference proceeding

Sinusoidal time-frequency wavelet family and its application in electrogastrographic signal analysis

Xiang Xie and H.H Sun
Proceedings of the 20th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Vol.20 Biomedical Engineering Towards the Year 2000 and Beyond (Cat. No.98CH36286), v 3, pp 1450-1453 vol.3
1998

Abstract

Application software Information analysis Signal analysis Signal processing Signal resolution Stochastic processes Sun Time frequency analysis Wavelet analysis Wavelet domain
This paper introduces a sinusoidal time-frequency wavelet family, with both real sine and complex exponential oscillating patterns, of various window functions. It provides a regular time-frequency analysis rather than a time-scale analysis for wavelet transform time-frequency localization of both stationary and non-stationary signals. It offers a convenient trade-off between time resolution at low frequency and frequency resolution at high frequency for any given time-frequency analysis application. Four different window functions are studied for the sinusoidal time-frequency wavelet family and it has been shown that both the real sine wavelets and the complex exponential wavelets using these four windows satisfy the wavelet admissibility condition. The time-frequency resolution of the corresponding wavelet time-frequency localization analysis has also been investigated. It has been show that the rising-cosine window sinusoidal wavelet provides close to optimal time-frequency resolution. It has also been shown that the modulated Gaussian wavelet becomes a special case of the Gaussian window complex exponential wavelet. We briefly describe our sinusoidal wavelet family and apply it to the time-frequency analysis of electrogastrographic (EGG) signals to simultaneously localize high frequency spike activities and track low frequency slow waves.

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