NDLI: A group theoretic approach to multidimensional filter banks: theory and applications

Content Provider	IEEE Xplore Digital Library
Author	Kalker, T.A.C.M. Shah, I.A.
Copyright Year	1991
Abstract	In this paper, we provide a new method for analyzing multidimensional filter banks. This method enables us to solve various open problems in multidimensional filter bank characterization and design. The essential element in this new approach is the redefinition of polyphase components. It will be shown that a rich set of mathematical tools, in particular algebraic group theory, will become available for use in the analysis of filter banks. We demonstrate the elegance and power of the tool set by employing it for the characterization of multidimensional filter banks and applying it to two open problems. The first problem is concerned with the development of a general method to design multichannel (/spl ges/2), multidimensional filter banks using transformations, while the second problem is concerned with the derivation of general restrictions on group delays in linear phase filter banks. The treatment of these problems is only an illustration of the power of the tool set of algebraic group theory, employed for the first time in the context of multidimensional filter banks.
Sponsorship	IEEE Signal Processing Society
Starting Page	1392
Ending Page	1405
Page Count	14
File Size	1573963
File Format	PDF
ISSN	1053587X
Volume Number	44
Issue Number	6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1996-06-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Multidimensional systems Channel bank filters Filter bank Design methodology Delay lines Equations Standards development
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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