Wavelet representations and coding of self-affine signals

Abstract
A novel model for one-dimensional signal analysis, called a weighted multiresolution process (WiMP), is introduced. The model combines the scale and time-frequency localization properties of the wavelet representation with the self-affine characteristics of signals to be modeled. A WiMP can be viewed as a Markov chain of weighted translations between levels of the wavelet decomposition. Both aperiodic and periodic signals are investigated, and the corresponding decomposition/reconstruction algorithms are presented.

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