Paper Title:
The Characterization of a Pair of Canonical Frames Generated by Several Compactly Supported Functions
  Abstract

Wavelet analysis has become a popular subject in scientific research during the past twenty years. We show that there exist wavelet frame generated by two functions which have good dual wavelet frames, but for which the canonical dual wavelet frame does not consist of wavelets, according to scaling functions. That is to say, the canonical dual wavelet frame cannot be generated by the translations and dilations of a single function.

  Info
Periodical
Key Engineering Materials (Volumes 439-440)
Edited by
Yanwen Wu
Pages
1135-1140
DOI
10.4028/www.scientific.net/KEM.439-440.1135
Citation
J. Q. Wang, J. G. Wang, "The Characterization of a Pair of Canonical Frames Generated by Several Compactly Supported Functions", Key Engineering Materials, Vols. 439-440, pp. 1135-1140, 2010
Online since
June 2010
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