22 March 1999 Wavelet transforms with discrete-time continuous-dilation wavelets
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Abstract
Wavelet constructions and transforms have been confined principally to the continuous-time domain. Even the discrete wavelet transform implemented through multirate filter banks is based on continuous-time wavelet functions that provide orthogonal or biorthogonal decompositions. This paper provides a novel wavelet transform construction based on the definition of discrete-time wavelets that can undergo continuous parameter dilations. The result is a transformation that has the advantage of discrete-time or digital implementation while circumventing the problem of inadequate scaling resolution seen with conventional dyadic or M-channel constructions. Examples of constructing such wavelets are presented.
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Wei Zhao, Wei Zhao, Raghuveer M. Rao, Raghuveer M. Rao, } "Wavelet transforms with discrete-time continuous-dilation wavelets", Proc. SPIE 3723, Wavelet Applications VI, (22 March 1999); doi: 10.1117/12.342950; https://doi.org/10.1117/12.342950
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