The Characters of Dual Harmonic Frames of Subspaces and Applications in Signal Processing Theory

Yong Yi Huang; Jian Feng Zhou

doi:10.4028/www.scientific.net/AMM.457-458.731

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 457-458The Characters of Dual Harmonic Frames of...

The Characters of Dual Harmonic Frames of Subspaces and Applications in Signal Processing Theory

Abstract:

Digital signal processing is the processing of digitized discrete-time samp-led signals. Processing is done by general-purpose computers or by digital circuits such as ASICs, field-programmable gate arrays or specialized digital signal processors. Information science focuses on understanding problems from the perspective of the stakeholders involved and then applying information and other technologies as needed. The definition of multiple pseudofames for subspaces with integer translation is proposed. The notion of a generalized multiresolution structure (GMS) of is also introduced. The construction of a generalized multiresolution structure of Paley-Wiener subspaces of is investigated. The pyramid decomposition scheme is derived based on a generalized multiresolution structure.

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Periodical:

Applied Mechanics and Materials (Volumes 457-458)

Pages:

731-735

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.457-458.731

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Online since:

October 2013

Authors:

Yong Yi Huang, Jian Feng Zhou

Keywords:

Affine Fames, Biorthogonal Basis, Harmonic Frames, Multiple Subspace Pseudofames, Signal Processing, Time-Frequency Analysis Method

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References

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