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

Hong Lin Guo; Yu Min Yu

doi:10.4028/www.scientific.net/AMR.159.7

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 Fine Characters of a Sort of Biorthogonal...

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

Abstract:

In this article, the notion of orthogonal nonseparable four-dimensional wavelet packs, which is the generalization of orthogonal univariate wavelet packs, is introduced. A new approach for constructing them is presented by iteration method and wavelets as well wavelet frames. The biorthogonality properties of four-dimensi- -onal wavelet packets are discussed. Three biorthogonality formulas concerning these wavelet packs are estabished. A necessary and sufficient condition for the existence of the pyramid decomposition scheme of space is presented.

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Periodical:

Advanced Materials Research (Volume 159)

Pages:

7-12

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.159.7

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Online since:

December 2010

Authors:

Hong Lin Guo, Yu Min Yu

Keywords:

Algebra Theory, Biorthogonal, Filter Function, Four-Dimensional, Iteration Method, Pyramid Decomposition Scheme, Wavelet Pack Base

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