Title

Signal decomposition and coding using a multiresolution transform

Authors

Authors

Q. Memon;T. Kasparis

Comments

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Abbreviated Journal Title

Int. J. Syst. Sci.

Keywords

Automation & Control Systems; Computer Science, Theory & Methods; Operations Research & Management Science

Abstract

Signal representation and data coding for one and multidimensional signals have recently received considerable attention due to their importance to several modern technologies. Many useful contributions have been reported that employ wavelets and transform methods. Block transforms, particularly the discrete cosine transform, have been used in image-video coding. Signal decomposition has widely been used in conjunction with the discrete cosine transform for signal compression. In this paper, we explore the approximate trigonometric expansions for the purpose of signal decomposition and coding. Specifically, we give system interpretation to the approximate Fourier expansion using harmonic analysis. Furthermore, we apply the approximate trigonometric expansions to multispectral imagery, and investigate the potential of adaptive coding using blocks of images. The variable length basis functions computed by varying the user-defined parameter of the approximate trigonometric expansions are used for adaptive transform coding of images. Based on signal statistics, the proposed algorithm switches between a transform coder and a subband coder. It is shown that these expansions can be implemented by fast Fourier transform algorithm. Sample results far representing multidimensional signals ave given to illustrate the efficiency of the proposed method. For comparison purposes, the results will be compared with techniques using block discrete cosine transform.

Journal Title

International Journal of Systems Science

Volume

29

Issue/Number

2

Publication Date

1-1-1998

Document Type

Article

Language

English

First Page

111

Last Page

120

WOS Identifier

WOS:000072109500003

ISSN

0020-7721

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