English

Construction of some types wavelets with coefficient of scaling N

Functional Analysis 2007-05-23 v2

Abstract

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

Keywords

Cite

@article{arxiv.math/0612573,
  title  = {Construction of some types wavelets with coefficient of scaling N},
  author = {N. K. Smolentsev and P. N. Podkur},
  journal= {arXiv preprint arXiv:math/0612573},
  year   = {2007}
}

Comments

LaTeX2e, 19 pages

R2 v1 2026-07-22T17:48:06.945Z