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Certain problems concerning wavelets and wavelets packets

Abstract

Wavelets is the outcome of the synthesis of ideas that have emerged in different branches of science and technology, mainly in the last decade. The concept of wavelet packets, which are superpositions of wavelets, has been introduced a couple of years ago. They form bases which retain many properties of wavelets like orthogonality, smoothness and localization. The Walsh orthornomal system is a special case of wavelet packet. The wavelet packets provide at our disposal a library of orthonormal bases, each of which can be used to analyze a given signal of finite energy. The optimal choice is decided by the entropy criterion. In the present paper we discuss results concerning convergence, coefficients, and approximation of wavelet packets series in general and wavelets series in particular. Wavelet packet techniques for solutions of differential equations are also mentioned. (author). 117 refs.
Authors:
Publication Date:
Sep 01, 1995
Product Type:
Technical Report
Report Number:
IC-95/242
Reference Number:
SCA: 661100; PA: AIX-27:052367; EDB-96:109746; NTS-96:019562; SN: 96001618404
Resource Relation:
Other Information: PBD: Sep 1995
Subject:
66 PHYSICS; WAVE PACKETS; MATHEMATICS; DIFFERENTIAL EQUATIONS; POLYNOMIALS
OSTI ID:
252899
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE96629685; TRN: XA9642085052367
Availability:
INIS; OSTI as DE96629685
Submitting Site:
INIS
Size:
33 p.
Announcement Date:

Citation Formats

Siddiqi, A H. Certain problems concerning wavelets and wavelets packets. IAEA: N. p., 1995. Web.
Siddiqi, A H. Certain problems concerning wavelets and wavelets packets. IAEA.
Siddiqi, A H. 1995. "Certain problems concerning wavelets and wavelets packets." IAEA.
@misc{etde_252899,
title = {Certain problems concerning wavelets and wavelets packets}
author = {Siddiqi, A H}
abstractNote = {Wavelets is the outcome of the synthesis of ideas that have emerged in different branches of science and technology, mainly in the last decade. The concept of wavelet packets, which are superpositions of wavelets, has been introduced a couple of years ago. They form bases which retain many properties of wavelets like orthogonality, smoothness and localization. The Walsh orthornomal system is a special case of wavelet packet. The wavelet packets provide at our disposal a library of orthonormal bases, each of which can be used to analyze a given signal of finite energy. The optimal choice is decided by the entropy criterion. In the present paper we discuss results concerning convergence, coefficients, and approximation of wavelet packets series in general and wavelets series in particular. Wavelet packet techniques for solutions of differential equations are also mentioned. (author). 117 refs.}
place = {IAEA}
year = {1995}
month = {Sep}
}