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Optimal FIR Filters: Arbitrary Magnitude and Phase Specificiations

cremez (Matlab Signal Processing Toolbox) performs complex $ L-infinity$ FIR filter design:

  • Documented online at The Mathworks
    (search for cremez)

  • Convergence theoretically guaranteed for arbitrary magnitude and phase specifications versus frequency.

  • Reduces to Parks-McClellan algorithm (Remez second algorithm) as a special case.

  • Written by Karam and McClellan. See ``Design of Optimal Digital FIR Filters with Arbitrary Magnitude and Phase Responses,'' by Lina J. Karam and James H. McClellan, ISCAS-96. The paper may be downloaded at

gremez (Matlab Filter Design Toolbox) performs ``generalized'' $ L-infinity$ FIR filter design, adding support for minimum-phase FIR filter design, among other features [236].


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About the Author: Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.


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