Construction of compactly supported orthonormal symmetric and antisymmetric two-direction refinable functions and its corresponding wavelet with scale M
Authors
Wan-she LI, Quan-gang Yao
Corresponding Author
Wan-she LI
Available Online April 2013.
- DOI
- 10.2991/icsem.2013.159How to use a DOI?
- Keywords
- symmetric and antisymmetric, two-direction refinable functions, two-direction wavelet, compactly, orthonormal
- Abstract
In this paper, the concepts and related conclusions of two-direction multiresolution analysis and two-direction refinable functions are introduced; two-direction wavelet with scale 2 is researched and is extended to orthonormal symmetric and antisymmetric two-direction wavelet with scale M and relevant properties are obtained. A condition that stable solution of two-direction refinable functions can create for MRA is given; finally construction of two-direction wavelet by two-direction compactly orthonormal refinable functions is discussed.
- Copyright
- © 2013, 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 - Wan-she LI AU - Quan-gang Yao PY - 2013/04 DA - 2013/04 TI - Construction of compactly supported orthonormal symmetric and antisymmetric two-direction refinable functions and its corresponding wavelet with scale M BT - Proceedings of the 2nd International Conference On Systems Engineering and Modeling (ICSEM 2013) PB - Atlantis Press SP - 773 EP - 776 SN - 1951-6851 UR - https://doi.org/10.2991/icsem.2013.159 DO - 10.2991/icsem.2013.159 ID - LI2013/04 ER -