Framelet scaling set with matrix dilation in L2(R2)

Yadav, G. C. S.; Kumar, Arun

doi:10.28919/jmcs/7492

J. Math. Comput. Sci. 12 (2022), Article ID 182

Framelet scaling set with matrix dilation in L2(R2)

G. C. S. Yadav, Arun Kumar

PDF (138.6 KB) https://doi.org/10.28919/jmcs/7492

Abstract

In this paper, we have constructed the non-overlapping frame scaling set with 2×2 expansive matrix dilation for the time frequency analysis in R². The FMRA (Frame Multiresolution Analysis) always contains a frame scaling set. We have investigated that frequency domain of any frame scaling function contains a nonoverlapping scaling set.

Published: 4 July 2022
Volume: 12 (2022)
License: CC BY 3.0

Copyright © 2022 G. C. S. Yadav, Arun Kumar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

G. C. S. Yadav, A. Kumar, Framelet scaling set with matrix dilation in L2(R2), J. Math. Comput. Sci. 12 (2022), 182. https://doi.org/10.28919/jmcs/7492

BibTeX

@article{Yadav2022,
  author  = {Yadav, G. C. S. and Kumar, Arun},
  title   = {Framelet scaling set with matrix dilation in L2(R2)},
  journal = {J. Math. Comput. Sci.},
  volume  = {12},
  year    = {2022},
  pages   = {182},
  doi     = {10.28919/jmcs/7492}
}