2022•Unpublished venueRequires access
The S Transform
Yanghua Wang
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Abstract
The S transform is an intermediate scheme between the Gabor transform and the continuous wavelet transform. The S transform defines the window as a function of frequency. Such a frequency-dependent window definition enables the S transform to have a fixed number of cycles within a window, and to have a constant resolution along the frequency axis. The S transform can be viewed as a special case of the continuous wavelet transform. The “wavelet” in this special case is defined as a complex harmonic function which is enveloped by a Gaussian window, and the size of the Gaussian window is varying continuously, according to the frequency.