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

The Binary Minimum-energy Parseval Frames and Pseudo-frames and Applications in Economics and Management

Authors
Jian-Guo Shen
Corresponding Author
Jian-Guo Shen
Available Online April 2015.
DOI
https://doi.org/10.2991/icmra-15.2015.262How to use a DOI?
Keywords
wavelet frames; binary minimum-energy frames; dual frames; frame multiresolution analysis;pyramid decomposition scheme; tight frames; time-frequency method
Abstract
Material science is an interdisciplinary field applying the properties of matter to various areas of science and engineering. Frames have become the focus of active research field, both in the -ory and in applications. In the article, the binary minimum-energy wavelet frames and frame multi -resolution resolution are introduced. A precise existence criterion for minimum-energy frames in terms of an ineqity condition on the Laurent poly-nomial symbols of the filter functions is provided. An explicit formula for designing minimum-energy frames is also established. The sufficient condi tion for the existence of tight wavelet frames is obtained by virtue of a generalized multiresolution analysis.
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Proceedings
3rd International Conference on Mechatronics, Robotics and Automation
Part of 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-15.2015.262How 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  - Jian-Guo Shen
PY  - 2015/04
DA  - 2015/04
TI  - The Binary Minimum-energy Parseval Frames and Pseudo-frames and Applications in Economics and Management
BT  - 3rd International Conference on Mechatronics, Robotics and Automation
PB  - Atlantis Press
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmra-15.2015.262
DO  - https://doi.org/10.2991/icmra-15.2015.262
ID  - Shen2015/04
ER  -