Designment Algorithm on Orthogonal Two-Directional Vector-Valued Wavelets with Three-Scale Dilation Factor

Abstract:

In this work, the notion of orthogonal two-directional shortly supported wavelets with poly-scale is developed. A new method for designing two-directional orthogonal wavelet wraps is proposed and their properties is investigated by means of time-frequency analysis methodand, operator theory. The existence of shortly supported orthogonal two-directional vector-valued wavelets associated with a pair of orthogonal compactly supported vector-valued scaling functions is investigated. A new method for designing a sort of orthogonal shortly supported two-directional vector-valued wavelet functions is presented by using multiresolution analysis and matrix theory.

• Periodical: Advanced Materials Research (Volumes 430-432)
• Pages: 1203-1206
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.430-432.1203
• Online since: January 2012
• Authors: Jian Tang Zhao
• Keywords: Fourier Transfer, Multiresolution Analysis, Operator Theory, Orthogonal, Sampling Theory, Time-Frequency Analysis Method, Two-Directional Wavelets, Wiener Space

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