A new subclass of complex-valued S-transform windows

Authors:
C. R. Pinnegar
Affiliations:
Calgary Scientific, Inc., Calgary, Alberta, Canada
Venue:
Signal Processing - Special section: Advances in signal processing-assisted cross-layer designs
Year:
2006

Citing 5
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Abstract

The S-transform is a time-frequency representation whose analyzing function is the product of a fixed Fourier sinusoid with a scalable, translatable window. Thus the S-transform combines elements of wavelet transforms and windowed Fourier transforms. The S-transform can also be generalized to include windows that have frequency-dependent functional form, and frequency-dependent complex phase modulation, essentially giving phase-shifted wavelets which have no semblance at different scales. However, their frequency-dependent shapes can become so complicated that the resulting time-frequency S-spectra are impossible to interpret. In this paper, I define a subclass of complex-valued S-transform windows whose amplitude and phase modulations are connected to each other, making the resulting S-spectra easier to interpret.