NDLI: Multidimensional causal, stable, perfect reconstruction filter banks

Content Provider	IEEE Xplore Digital Library
Author	Basu, S.
Copyright Year	1992
Abstract	Following our earlier one-dimensional (1-D) work, we show that it is possible to have a large family of biorthogonal perfect reconstruction multidimensional (n-D) subband coding filter banks, which are causal and IIR both at the analysis and at the synthesis ends. While the need for perfect reconstruction IIR filter banks are more apparent for multidimensional signals than for 1-D signals, lack of design techniques have made it impossible to use such schemes. We argue that such filter banks, including their multichannel counterparts, should not only exist in a large variety, but we also indicate a number of tools potentially useful in their design. Specifically, a complete parameterization of such filters leading to design methods in 2-D are given. Parameterizations in frequency domain terms as well as in terms of state space descriptions of filters are provided. These latter techniques have potential for better numerical implementation. The development is valid for two-band as well as for multiband subband coding schemes. Examples of bi-orthogonal version of continuous multidimensional wavelets generated by these iterated filter banks, that have not been previously constructed, are worked out.
Starting Page	832
Ending Page	842
Page Count	11
File Size	424595
File Format	PDF
ISSN	10577122
Volume Number	49
Issue Number	6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-06-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Multidimensional systems Channel bank filters Filter bank IIR filters Image reconstruction State-space methods Sampling methods Image coding Signal synthesis Signal design
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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