NDLI: Role of anticausal inverses in multirate filter-banks .I. System-theoretic fundamentals

Content Provider	IEEE Xplore Digital Library
Author	Vaidyanathan, P.P. Tsuhan Chen
Copyright Year	1991
Abstract	In a maximally decimated filter bank with identical decimation ratios for all channels, the perfect reconstructibility property and the nature of reconstruction filters (causality, stability, FIR property, and so on) depend on the properties of the polyphase matrix. Various properties and capabilities of the filter bank depend on the properties of the polyphase matrix as well as the nature of its inverse. In this paper we undertake a study of the types of inverses and characterize them according to their system theoretic properties (i.e., properties of state-space descriptions, McMillan degree, degree of determinant, and so forth). We find in particular that causal polyphase matrices with anticausal inverses have an important role in filter bank theory. We study their properties both for the FIR and IIR cases. Techniques for implementing anticausal IIR inverses based on state space descriptions are outlined. It is found that causal FIR matrices with anticausal FIR inverses (cafacafi) have a key role in the characterization of FIR filter banks.<>
Sponsorship	IEEE Signal Processing Society
Starting Page	1090
Ending Page	1102
Page Count	13
File Size	1420571
File Format	PDF
ISSN	1053587X
Volume Number	43
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1995-05-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Channel bank filters Finite impulse response filter Filter bank Delay IIR filters State-space methods Fasteners
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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