The Research into a Two-directional matrix-valued Quarternary Wave Wraps with multi-scale and Applications

DOI

10.2991/icmra-15.2015.263How to use a DOI?

Keywords

Wavelet analysis; Vector scaling function; four-dimensional; vector-valued wavelet pac -kets; frame packets; vector subdivision scheme; biorthogonality formulas

Abstract

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

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  - 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  - 10.2991/icmra-15.2015.263
ID  - Wang2015/04
ER  -