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- Title
Construction of orthonormal two-direction wavelet with dilation factor m.
- Authors
LI Wan-she; FANG Xiao-meng; ZHANG Hong-tao
- Abstract
The research about two-direction refinable functions and two-direction wavelets with dilation factor 2 and their properties are extended to dilation factor m. The condition that the two-direction refinable functions and its corresponding two-direction wavelet are symmetric and antisymmetric is given. Finally, an algorithm for constructing the orthonormal two-direction wavelets with orthonormal scaling functions and the corresponding orthonrmal wavelets is presented and an example is given.
- Subjects
WAVELETS (Mathematics); HARMONIC analysis (Mathematics); WAVELET transforms; DILATION theory (Operator theory); ALGORITHMS
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2014, Vol 27, Issue 1, p96
- ISSN
1006-8341
- Publication type
Article