Paper Title:
A Study of Binary Minimum-Energy Shortly Supported Wavelet Frames Associated with a Scaling Function
  Abstract

Frames have become the focus of active research field, both in theory and in applications. In the article, the binary minimum-energy wavelet frames and frame multiresolution resolution are introduced. A precise existence criterion for minimum-energy frames in terms of an ineqity conditi- -on on the Laurent poly-nomial symbols of the filter functions is provided. An explicit formula for designing minimum-energy frames is also established. The sufficient condition for the existence of affine pseudoframes is obtained by virtue of a generalized multiresolution analysis. The pyramid de -composition scheme is established based on such a generalized multiresolution structure.

  Info
Periodical
Advanced Materials Research (Volumes 219-220)
Edited by
Helen Zhang, Gang Shen and David Jin
Pages
500-503
DOI
10.4028/www.scientific.net/AMR.219-220.500
Citation
Q. J. Chen, G. Hu, "A Study of Binary Minimum-Energy Shortly Supported Wavelet Frames Associated with a Scaling Function", Advanced Materials Research, Vols. 219-220, pp. 500-503, 2011
Online since
March 2011
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Price
$32.00
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