IIR filters with reduced multipliers using cyclotomic polynomial numerators

Authors

Richard J. Harnett, United States Coast Guard Academy
Leland B. Jackson, University of Rhode IslandFollow
G. F. Boudreaux-Bartels, University of Rhode IslandFollow

Document Type

Conference Proceeding

Date of Original Version

1-1-1992

Abstract

A method to design rotational polynomial efficient infinite impulse response (IIR) digital filters with unit circle zeros is presented. The authors employ a prefilter-equalizer method, using cyclotomic polynomial building blocks to form a finite impulser response (FIR) multiplierless prefilter (numerator) to provide stopband attenuation. The linear methods of Jackson and Lemay (1990) are then used to design the all-pole equalizer (denominator) portion of the prefilter-equalizer cascade, such that the passband is equiripple. Examples show that substantial savings in the number of multipliers are achieved when compared to the complexities of minimum-order elliptic filters meeting the same specifications.

Publication Title, e.g., Journal

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volume

4

Citation/Publisher Attribution

Harnett, Richard J., Leland B. Jackson, and G. F. Boudreaux-Bartels. "IIR filters with reduced multipliers using cyclotomic polynomial numerators." ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings 4, (1992): 321-324. doi: 10.1109/ICASSP.1992.226371.