Time-Time Distributions for Discrete Wavelet Transforms
Part of the
Operator Theory: Advances and Applications
book series (OT, volume 205)
The short-time Fourier transform has an easily defined time-domain counterpart: a set of windowed time series, each one corresponding to a specific window position. Considered collectively, these constitute a time-time distribution, since the window position gives a second time variable. Multiresolution time-time distributions can also be defined. The only such distribution that has been investigated thus far, the TT-transform, is the time-domain counterpart of a continuous wavelet transform. In this short paper, we describe a new method of calculating time-time distributions for discrete wavelet transforms, and present two examples.
KeywordsShort-time Fourier transform time-time distribution TT-transform wavelet transform
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