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

DOI

10.2991/meita-15.2015.45How to use a DOI?

Keywords

Tight periodic wavelet frames, approximation order, periodic refinement equation, tight frame series, symmetric fames, Harmonic frames

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.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Shiheng Wang
PY  - 2015/08
DA  - 2015/08
TI  - The Study of Periodic Tight Framelets and Wavelet Frame Packets and Applications
BT  - Proceedings of the 2015 International Conference on Materials Engineering and Information Technology Applications
PB  - Atlantis Press
SP  - 240
EP  - 244
SN  - 2352-5401
UR  - https://doi.org/10.2991/meita-15.2015.45
DO  - 10.2991/meita-15.2015.45
ID  - Wang2015/08
ER  -