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Abstract: In this paper we outline several points of view on the interplay betweendiscrete and continuous wavelet transforms; stressing both pure and appliedaspects of both. We outline some new links between the two transformtechnologies based on the theory of representations of generators andrelations. By this we mean a finite system of generators which are representedby operators in Hilbert space. We further outline how these representationsyield sub-band filter banks for signal and image processing algorithms.



Author: Palle E. T. Jorgensen, Myung-Sin Song

Source: https://arxiv.org/







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