The Research into a Two-directional matrix-valued Quarternary Wave Wraps with multi-scale and Applications
- https://doi.org/10.2991/icmra-15.2015.263How to use a DOI?
- Wavelet analysis; Vector scaling function; four-dimensional; vector-valued wavelet pac -kets; frame packets; vector subdivision scheme; biorthogonality formulas
In this paper, we introduce a class of vector-valued four-dimensional wavelet packets according to a dilation matrix, which are generalizations of univariate wavelet packets. The defini -tion of biorthogonal vector four-dimensional wavelet packets is provided and their biorthogonality quality is researched by means of time-frequency analysis method, vector subdivision scheme and functional analysis method. Three biorthogonality formulas regarding the wavelet packets are es -tablished. Finally, it is shown how to draw new Riesz bases of space
- © 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 - Shiheng Wang AU - Chunyi Jiao PY - 2015/04 DA - 2015/04 TI - The Research into a Two-directional matrix-valued Quarternary Wave Wraps with multi-scale and Applications BT - Proceedings of the 3rd International Conference on Mechatronics, Robotics and Automation PB - Atlantis Press SP - 1366 EP - 1369 SN - 2352-538X UR - https://doi.org/10.2991/icmra-15.2015.263 DO - https://doi.org/10.2991/icmra-15.2015.263 ID - Wang2015/04 ER -