2007/05/01 by Palle E. T. Jørgensen, Palle E. T. Jorgensen, Jorgensen, Palle E. T. +2
Computer Science · Mathematics · #Computational Engineering #Digital Filter Design and Implementation #FOS: Computer and information sciences #Finance #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #and Science (cs.CE) #cs.CE
paper · pdf · doi:10.48550/arxiv.0705.0150
22 pages, Springer Encyclopedia of Complexity and Systems Science, the full version with figures is available at http://www.siue.edu/~msong/Research/ency.pdf
openalex publication_date 2007/05/01 · arxiv created 2007/08/24 · arxiv updated 2011/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we outline several points of view on the interplay between discrete and continuous wavelet transforms; stressing both pure and applied aspects of both. We outline some new links between the two transform technologies based on the theory of representations of generators and relations. By this we mean a finite system of generators which are represented by operators in Hilbert space. We further outline how these representations yield sub-band filter banks for signal and image processing algorithms.