@Article{ATA-32-164,
author = {F. A. Shah and S. Goyal},
title = {A Characterization of MRA Based Wavelet Frames Generated by the Walsh Polynomials},
journal = {Analysis in Theory and Applications},
year = {2016},
volume = {32},
number = {2},
pages = {164--173},
abstract = {<p style="text-align: justify;">Extension Principles play a significant role in the construction of MRA based wavelet frames and have attracted much attention for their potential applications in various scientific fields. A novel and simple procedure for the construction of tight wavelet frames generated by the Walsh polynomials using Extension Principles was recently considered by Shah in [Tight wavelet frames generated by the Walsh polynomials, Int. J. Wavelets, Multiresolut. Inf. Process., 11(6) (2013), 1350042]. In this paper, we establish a complete characterization of tight wavelet frames generated by the Walsh polynomials in terms of the polyphase matrices formed by the polyphase components of the Walsh polynomials.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2016.v32.n2.5},
url = {http://global-sci.org/intro/article_detail/ata/4662.html}
}