The Characterization of Multiple Harmanic Riesz Bases of Affine Subspaces and Applications

Shu De Du; Bao Xian Lv

doi:10.4028/www.scientific.net/AMM.321-324.2371

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 321-324The Characterization of Multiple Harmanic Riesz...

The Characterization of Multiple Harmanic Riesz Bases of Affine Subspaces and Applications

Abstract:

An information system is any combination of information technology and people's act- ivities that support operations, management and decision making. 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 harmonic frames for subs -paces with integer translation is proposed. The notion of a generalized multiresolution structure 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 321-324)

Pages:

2371-2374

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.321-324.2371

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Online since:

June 2013

Authors:

Shu De Du, Bao Xian Lv

Keywords:

Affinefames, Filter Functions, Harmanic Riesz Bases, Harmonic Frames, Multiple Subspace Pseudofames, Time-Frequency Analysis Method

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References

[1] D. Gabor, Theory of communication: J. Inst. Elec. Engrg., Vol. 93, pp.429-457, (1946).

Google Scholar

[2] R. J. Duffin, A. C. Schaeffer: A class of nonharmonic Fourier series , Trans. Amer. Math. Soc., Vol. 72, pp.341-366.(1952).

DOI: 10.1090/s0002-9947-1952-0047179-6

Google Scholar

[3] I. Daubechies, A. Grossmann, A. Meyer: Painless nonorthogonal expansions. J. Math. Phys.Vol 27, pp.1271-1283. ( 1986).

DOI: 10.1063/1.527388

Google Scholar

[4] A.Ron, Z. Shen: Affine systems in . (II) Dual systems. J. Fourier Anal. Appl. Vol 4, pp.617-637.( 1997)

Google Scholar

[5] I. Daubechies: Ten Lectures on Wavelets. SIAM: Philadelphia.(1992).

Google Scholar

[6] S. Li, M. Ogawa: Pseudoframes for Subspaces with Applications. J. Fourier Anal. Appl. Vol 10, pp.409-431.(2004)

Google Scholar

[7] S. Li: A Theory of Geeneralized Multiresolution Structure and Pseudoframes of Translates. J. Fourier Anal. Appl. Vol 6(1), pp.23-40. (2001) .

Google Scholar

[8] J. J. Benedetto, S. Li: The theory of multiresolution analysis frames and applications to filter banks.Appl. comput. Harmon.Anal.vol5, pp.389-427.( 1998).

Google Scholar