Proceedings of the 3rd International Conference on Mechatronics, Robotics and Automation

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

Authors
Shiheng Wang, Chunyi Jiao
Corresponding Author
Shiheng Wang
Available Online April 2015.
DOI
https://doi.org/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
Open Access
This is an open access article distributed under the CC BY-NC license.

Download article (PDF)

Volume Title
Proceedings of the 3rd International Conference on Mechatronics, Robotics and Automation
Series
Advances in Computer Science Research
Publication Date
April 2015
ISBN
978-94-62520-76-9
ISSN
2352-538X
DOI
https://doi.org/10.2991/icmra-15.2015.263How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

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  -