Design of discrete-coefficient-value linear phase FIR filters with optimum normalized peak ripple magnitude

1 December 1990

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems

Vol. 37 (12) , 1480-1486
https://doi.org/10.1109/31.101268

Abstract

Four methods are presented for optimizing filters in the normalized peak ripple magnitude (NPRM) sense. Two of the methods being to the passband gain sectioning technique. The other two methods make use of the objective function f= delta - alpha b. Several heuristic methods for determining alpha are also presented. The NPRM is an important performance measure; the absolute peak ripple magnitude and passband gain are less important. In these applications, the passband gain need not be fixed at unity but should be a continuous variable to the optimized. Nevertheless, an upper and a lower bound on the passband gain should be imposed to satisfy overflow and roundoff noise performance requirements.<>

Keywords

This publication has 7 references indexed in Scilit:

Finite precision design of optimal linear phase 2-D FIR digital filters
IEEE Transactions on Circuits and Systems, 1989
A simple design of FIR filters with powers-of-two coefficients
IEEE Transactions on Circuits and Systems, 1988
Finite precision design of FIR digital filters using a convexity property
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1988
A discrete optimization method for high-order FIR filters with finite wordlength coefficients
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
A new design method of optimal finite wordlength linear phase FIR digital filters
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1983
FIR filter design over a discrete powers-of-two coefficient space
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1983
Filter-length word-length tradeoffs in FIR digital filter design
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1980