NDLI: The analysis and design of multidimensional FIR perfect reconstruction filter banks for arbitrary sampling lattices

Content Provider	IEEE Xplore Digital Library
Author	Viscito, E. Allebach, J.P.
Copyright Year	1974
Abstract	A general analysis of multidimensional multirate filter banks is presented. The approach is applicable to discrete signal spaces of any dimension, to multirate systems based on arbitrary downsampling and upsampling lattices, and for filter banks with any number of channels. A new numerical design procedure is also presented for multidimensional multirate perfect reconstruction filter banks, which is based on methods of nonlinearly constrained numerical optimization. An error function that depends only on the analysis filter impulse response coefficients is minimized, subject to a set of quadratic equality constraints that involve both the analysis and synthesis filter coefficients. With this design framework, it is possible to design a wide variety of filter banks that have a number of desirable properties. The analysis and synthesis filters that result are finite impulse response (FIR) and of equal size. In addition, both paraunitary and nonparaunitary filter banks can be designed with this method. Unlike paraunitary filter banks, nonparaunitary filter banks are capable of performing analysis bank functions more general than band-splitting with flat passband filters.<>
Starting Page	29
Ending Page	41
Page Count	13
File Size	1098239
File Format	PDF
ISSN	00984094
Volume Number	38
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1991-01-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Multidimensional systems Finite impulse response filter Filter bank Band pass filters Lattices Constraint optimization Design optimization Channel bank filters Design methodology Performance analysis
Content Type	Text
Resource Type	Article
Subject	Engineering

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