The Characterization for Symmetric Tight Frames and Periodic Gabor Frames and Applications in Computer Engineering

DOI

10.2991/meita-15.2015.46How to use a DOI?

Keywords

symmetric frames, symmetric filterbanks, multiresolution analysis, wavelet frame sub- space, time-frequency analysis, dual Gabor frames, Sobolev space

Abstract

Materials science is an interdisciplinary field applying the properties of matter to various areas of science and engineering. In this paper, we discuss a new set of symmetric tight frame wave -lets with the associated filterbanks outputs downsampled by several generators. The frames consist of several generators obtained from the lowpass filter using spectral factorization, with lowpass fil -ter via a simple approach using Legendre polynomials. The filters are feasible to be designed and offer smooth scaling functions and frame wavelets. We shall give an example to demonstrste that so-me examples of symmetric tight wavelet frames with three compactly supported real-valued sym-metric generators will be presented to illustrate the results.

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  - Deyou Yuan
PY  - 2015/08
DA  - 2015/08
TI  - The Characterization for Symmetric Tight Frames and Periodic Gabor Frames and Applications in Computer Engineering
BT  - Proceedings of the 2015 International Conference on Materials Engineering and Information Technology Applications
PB  - Atlantis Press
SP  - 245
EP  - 248
SN  - 2352-5401
UR  - https://doi.org/10.2991/meita-15.2015.46
DO  - 10.2991/meita-15.2015.46
ID  - Yuan2015/08
ER  -