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

DOI

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.

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  - 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  - Proceedings of the 3rd International Conference on Mechatronics, Robotics and Automation
PB  - Atlantis Press
SP  - 1361
EP  - 1365
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmra-15.2015.262
DO  - 10.2991/icmra-15.2015.262
ID  - Shen2015/04
ER  -