The Bivariate Minimum-Energy Tight Wavelet Frames and Applications in Economics and Management

Jian Guo Shen

doi:10.4028/www.scientific.net/AMR.915-916.1412

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 915-916The Bivariate Minimum-Energy Tight Wavelet Frames...

The Bivariate Minimum-Energy Tight Wavelet Frames and Applications in Economics and Management

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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Periodical:

Advanced Materials Research (Volumes 915-916)

Pages:

1412-1417

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.915-916.1412

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Online since:

April 2014

Authors:

Jian Guo Shen*

Keywords:

Binary Minimum-Energy Frames, Dual Frames, Frame Multiresolution Analysis, Pyramid Decomposition Scheme, Tight Frames, Time-Frequency Method, Wavelet Frames

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* - Corresponding Author

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