NDLI: Optimal Design of Constrained FIR Filters Without Phase Response Specifications

Content Provider	IEEE Xplore Digital Library
Author	Xiaoping Lai Zhiping Lin
Copyright Year	1991
Abstract	Finite impulse response (FIR) filters without phase response specifications have found many applications in signal processing and communications. It is shown in this paper that the constrained Lp magnitude error design of such an FIR filter is equivalent to a constrained Lp approximation of a given response with a phase equal to that of the optimal filter of the original problem. An iterative method is then proposed to compute that phase by converting the nonconvex constrained Lp magnitude error problem into a series of convex constrained Lp elliptic frequency response error subproblems. It is also shown that the solutions of these convex subproblems converge to a Karush-Kuhn-Tucker point of the original problem. The convergence and its model parameter and initial condition dependence are shown through the designs of FIR filters without time-domain constraints. The iterative method is then applied to the minimax design of evidence filters, Nyquist filters, and step response constrained filters, and to the Lp design of pulse shaping filters for ultra-wideband systems. Design examples demonstrate that the proposed method obtains better filters in terms of magnitude error, group delay, and spectrum utilization efficiency than existing methods.
Sponsorship	IEEE Signal Processing Society
Starting Page	4532
Ending Page	4546
Page Count	15
File Size	4858921
File Format	PDF
ISSN	1053587X
Volume Number	62
Issue Number	17
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Finite impulse response filters Frequency response Time-domain analysis Filtering algorithms Pulse shaping methods Correlation Convergence pulse shaping filter FIR filter frequency response error magnitude response error phase response ${L}_{{p}}$ minimization time-domain constraint
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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