The Binary Minimum-energy Parseval Frames and Pseudo-frames and Applications in Economics and Management
- https://doi.org/10.2991/icmra-15.2015.262How to use a DOI?
- wavelet frames; binary minimum-energy frames; dual frames; frame multiresolution analysis;pyramid decomposition scheme; tight frames; time-frequency method
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.
- © 2015, the Authors. Published by Atlantis Press.
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- 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 - 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 - https://doi.org/10.2991/icmra-15.2015.262 ID - Shen2015/04 ER -