Wavelet transforms with discrete-time continuous-dilation wavelets

Wei Zhao; Raghuveer M. Rao

doi:10.1117/12.342950

22 March 1999 Wavelet transforms with discrete-time continuous-dilation wavelets

Wei Zhao, Raghuveer M. Rao

Proceedings Volume 3723, Wavelet Applications VI; (1999) https://doi.org/10.1117/12.342950
Event: AeroSense '99, 1999, Orlando, FL, United States

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.

Citation Download Citation

Wei Zhao and Raghuveer M. Rao "Wavelet transforms with discrete-time continuous-dilation wavelets", Proc. SPIE 3723, Wavelet Applications VI, (22 March 1999); https://doi.org/10.1117/12.342950

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