The Research of Bivariate Minimum-Energy Frames and Frames of Subspace and Application in Particle Physics

Yan Hui Lv

doi:10.4028/www.scientific.net/AMR.459.280

Paper Titles

Study of Trivariate Pseudoframes and Subspace Frames and their Applications in Solid-State Physics
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Parallel Machine Tardiness Scheduling Based on Improved Discrete Differential Evolution
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The Characters of Multiple Tight Multivariate Wavelet Frames and Application in Quantum Physics
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Design of CAN-Bus Based Yarn Feeding Control System for Carpet Tufting Machine
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The Research of Bivariate Minimum-Energy Frames and Frames of Subspace and Application in Particle Physics
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Yarn Feeding Change Analysis for Needle Bar Transverse Shifting of Carpet Tufting Machine
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The Nice Feature of a Sort of Orthogonal Finitely Supported Five-Variant Wavelet Packages
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Wrist Wearable Physiological Signal Detection Equipment with Biochemical Materials
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Fault Diagnosis of Gear Wear Based on Local Mean Decomposition
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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 459The Research of Bivariate Minimum-Energy Frames...

The Research of Bivariate Minimum-Energy Frames and Frames of Subspace and Application in Particle Physics

Abstract:

Materials science is an applied science concerned with the relationship between the struc- ture and properties of materials. 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 are introduced. A precise exist-ence 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 con-dition for the existence of affine pseudoframes is obtained by virtue of a generalized multiresolution analysis. The pyramid decomposition scheme is established based on such a generalized multiresolution structure.

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Periodical:

Advanced Materials Research (Volume 459)

Pages:

280-283

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.459.280

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Online since:

January 2012

Authors:

Yan Hui Lv

Keywords:

Atom-Molecule Physics, Binary Minimum-Energy Frames, Dual Frames, Filter Banks, Frame Multiresolution Analysis, Particle Physics, Short Support

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