The Characterization of a Pair of Canonical Frames Generated by Several Compactly Supported Functions

Jun Qiu Wang; Jian Guo Wang

doi:10.4028/www.scientific.net/KEM.439-440.1135

Paper Titles

The Character of Multiple Affine Pseudoframes with Filter Banks Based on a Pyramid Decomposition Scheme
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The Research of Bivariate Pseudoframes of Subspace Based on a Pyramid Decomposition Scheme
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A Novel Approach for Constructing a Class of Orthogon Vector-Valued Wavelets with Finite Support
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The Research of Multiple Subspace Pseudoframes with Integer Translation
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The Characterization of a Pair of Canonical Frames Generated by Several Compactly Supported Functions
p.1135

Specific Properties of a King of Trivariable Wavelet Packets with Respect to an Integer-Valued Dilation Matrix
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The Orthogonality Character of Matrix Univariate Wavelet Packets Concerning an Integer Factor
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Statistical Properties of the Unsymmetrical P-Norm Distribution
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A Study on Characteristics of Biorthogonal Two-Dimensional Wavelet Packets
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HomeKey Engineering MaterialsKey Engineering Materials Vols. 439-440The Characterization of a Pair of Canonical Frames...

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.

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Periodical:

Key Engineering Materials (Volumes 439-440)

Pages:

1135-1140

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.439-440.1135

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Online since:

June 2010

Authors:

Jun Qiu Wang, Jian Guo Wang

Keywords:

Canonical Wavelet Frame, Composite Matrix, Dual Wavelet Frame, Frame Operator, Scaling Function, Time-Frequency Analysis Method, Wavelet Frame

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