The Study of Tight Periodic Wavelet Frames and Wavelet Frame Packets and Applications

Qing Jiang Chen; Yu Zhou Chai; Chuan Li Cai

doi:10.4028/www.scientific.net/AMR.977.532

Paper Titles

Design and Implementation of Security Network Optimization
p.507

Data Analysis and its Application of Network Security
p.511

Data Processing in Moving Boundary Problems of One-Dimensional Non-Darcy Flow in Semi-Infinite Porous Media
p.515

Data Processing with Transportation Cost Allocation Method of Formwork and Scaffold Leasing Companies Based on Supply Chain
p.520

The Design of Software Protection Mechanism Based on Virtual Machine
p.525

The Study of Tight Periodic Wavelet Frames and Wavelet Frame Packets and Applications
p.532

Engineering Research with Application of System Dynamics Model of Risk Identification in Railway Construction Project
p.536

Research on Technology Industry Value Chain and its Properties
p.541

Research on Management Engineering with Data Processing for Relationship between Equity Structures and Operating Performance — Take the Utilities Listed Companies as Example
p.547

HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 977The Study of Tight Periodic Wavelet Frames and...

The Study of Tight Periodic Wavelet Frames and Wavelet Frame Packets and Applications

Abstract:

Information science focuses on understanding problems from the perspective of the stake holders involved and then applying information and other technologies as needed. A necessary and sufficient condition is identified in term of refinement masks for applying the unitary extension principle for periodic functions to construct tight wavelet frames. Then a theory on the approxi-mation order of truncated tight frame series is established, which facilitates construction of tight periodic wavelet frames with desirable approximation order. The pyramid decomposition scheme is derived based on the generalized multiresolution structure.

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Periodical:

Advanced Materials Research (Volume 977)

Pages:

532-535

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.977.532

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Online since:

June 2014

Authors:

Qing Jiang Chen*, Yu Zhou Chai, Chuan Li Cai

Keywords:

Affine Fames, Approximation Order, Harmonic Frames, Periodic Refinement Equation, Tight Frame Series, Tight Periodic Wavelet Frames

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