The Traits of Nontensor Five-Variant Wavelet Packs and Applications in Management Science and Materials Science

Qing Ge Zhang

doi:10.4028/www.scientific.net/AMR.461.868

Paper Titles

Evaluation of the City Integrated Emergency Response System Based on the Analytic Hierarchy Process
p.830

An Optimization Algorithm for Orthogonal Trivariate Wavelets with Short Support
p.835

Investigation of Low Energy Nitrogen Ion Implantation into Gold
p.840

Construction and Optimization of Plant Communities for Reducing Traffic Noise on Main Roads in Nanjing China
p.844

A Method of Restoring the Fog Degraded Image Based on the Monochromatic Atmospheric Scattering Model
p.849

State Modeling and Verification of Resistance Loss along the Long-Range Solid-Liquid Two-Phase Pipeline
p.854

Construction and Characteristics of Orthogonal Trivariate Multiwavelets with Finite Support
p.860

The Characteristics of a Pair of Dual Binary Canonical Frames Generated by Refinable Functions
p.864

The Traits of Nontensor Five-Variant Wavelet Packs and Applications in Management Science and Materials Science
p.868

HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 461The Traits of Nontensor Five-Variant Wavelet Packs...

The Traits of Nontensor Five-Variant Wavelet Packs and Applications in Management Science and Materials Science

Abstract:

Materials science is an interdisciplinary field applying the properties of matter to various areas of science and engineering. In this article, the notion of orthogonal nonseparable five-variant wavelet packages is presented. A novel approach for constructing them is presented by iteration method and functional analysis method. A feasible approach for constructing two-directional orthogonal wavelet packs is developed. The orthogonality property of five-variant wavelet packs is discussed. Three orthogonality formulas concerning these wavelet packs are estabished. A constructive method for affine frames of is proposed. The sufficient condition for the existence of a class of affine pseudoframes with filter banks is obtained by virtue of a generalized multiresolution analysis.

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Periodical:

Advanced Materials Research (Volume 461)

Pages:

868-871

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.461.868

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Online since:

February 2012

Authors:

Qing Ge Zhang

Keywords:

Finance Management, Five-Variant Spline Wavelets, Integration Transform, Iteration Method, Management Science, Materials Science, Nontensor, Wavelet Packs

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