NDLI: Constrained least square design of FIR filters without specified transition bands

Content Provider	IEEE Xplore Digital Library
Author	Selesnick, I.W. Lang, M. Burrus, C.S.
Copyright Year	1991
Abstract	This paper puts forth the notion that explicitly specified transition bands have been introduced in the filter design literature in part as an indirect approach for dealing with discontinuities in the desired frequency response. We suggest that the use of explicitly specified transition bands is sometimes inappropriate because to satisfy a meaningful optimality criterion, their use implicitly assumes a possibly unrealistic assumption on the class of input signals. This paper also presents an algorithm for the design of peak constrained lowpass FIR filters according to an integral square error criterion that does not require the use of specified transition bands. This rapidly converging, robust, simple multiple exchange algorithm uses Lagrange multipliers and the Kuhn-Tucker conditions on each iteration. The algorithm will design linear- and minimum-phase FIR filters and gives the best L/sub 2/ filter and a continuum of Chebyshev filters as special cases. It is distinct from many other filter design methods because it does not exclude from the integral square error a region around the cut-off frequency, and yet, it overcomes the Gibbs' phenomenon without resorting to windowing or 'smoothing out' the discontinuity of the ideal lowpass filter.
Sponsorship	IEEE Signal Processing Society
Starting Page	1879
Ending Page	1892
Page Count	14
File Size	1820265
File Format	PDF
ISSN	1053587X
Volume Number	44
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1996-08-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Least squares methods Finite impulse response filter Algorithm design and analysis Frequency response Robustness Lagrangian functions Chebyshev approximation Design methodology Cutoff frequency Smoothing methods
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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