The Characterization for Symmetric Tight Frames and Periodic Gabor Frames and Applications in Computer Engineering
Available Online August 2015.
- 10.2991/meita-15.2015.46How to use a DOI?
- symmetric frames, symmetric filterbanks, multiresolution analysis, wavelet frame sub- space, time-frequency analysis, dual Gabor frames, Sobolev space
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.
- © 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/).
Cite this article
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 -