The Research of Bivariate Minimum-Energy Wavelet Frames and Pseudoframes

Ping An Wang

doi:10.4028/www.scientific.net/AMR.159.1

Paper Titles

Preface and Committees

The Research of Bivariate Minimum-Energy Wavelet Frames and Pseudoframes
p.1

The Fine Characters of a Sort of Biorthogonal Four-Dimensional Nonseparable Wavelet Packs
p.7

Fuzzy Knowledge Representation for Fuzzy Systems Based on Fuzzy Ontology on the Semantic Web
p.13

Energy-Efficient Secure Routing Protocol for Wireless Sensor Networks
p.17

A Study on Physical Technology of Induced-Resistance for Chinese Cabbages
p.23

An Evaluation Model of Intrusion-Tolerant Topology Availability for Wireless Sensor Networks
p.29

Study on the Dynamic Wheel Load of Multi-Axle Vehicle Based on Distribute Loading Weight
p.35

A Kind of Optimal Routing Selection Algorithm of HF Ad Hoc Network
p.41

HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 159The Research of Bivariate Minimum-Energy Wavelet...

The Research of Bivariate Minimum-Energy Wavelet Frames and Pseudoframes

Abstract:

Frames have become the focus of active research, both in theory and in applications. In the article, the notion of bivariate minimum-energy wavelet frames is introduced. A precise existence criterion for minimum-energy frames in terms of an inequality condition on the Laurent polynomial symbols of the filter functions is provided. An explicit formula for designing minimum-energy frames is also establish- ed. The sufficient condition for the existence of a class of affine pseudoframes with filter banks is obtained by virtue of a generalized multiresolution analysis. The pyramid decomposition scheme is established based on such a generalized multiresol- -ution structure.

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Periodical:

Advanced Materials Research (Volume 159)

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1-6

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.159.1

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Online since:

December 2010

Authors:

Ping An Wang

Keywords:

Affine Pseudoframe, Filter Function, Generalized Multiresolution Analysis, Minimum-Energy Frames, Pyramid Decomposition Scheme, Wavelet Frame

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