2006/12/20 by N. K. Smolentsev, Smolentsev, N. K., Paulina Podkur +2
Computer Science · Mathematics · #41A15 #42A65 #42C15 #FOS: Mathematics #Functional Analysis (math.FA) #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #advanced mathematical theories #math.FA #msc:41A15 #msc:42A65 #msc:42C15
paper · pdf · doi:10.48550/arxiv.math/0612573
LaTeX2e, 19 pages
openalex publication_date 2006/12/20 · arxiv created 2007/01/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper it is shown, that B-splines are scaling functions for any natural N. For any natural N construction of Haar wavelets, Kotelnikov-Shannon wavelets, nonorthogonal wavelets based on B-splines is given. Examples of construction of filters of N-channel decomposition of signal and filters of reconstruction based on B-splines are given