The Binary Minimum-energy Parseval Frames and Pseudo-frames and Applications in Economics and Management
Available Online April 2015.
- 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.
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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 -