Title :
An algorithm to evaluate the L∞norm for some common filters
Author :
Gaffney, B.P. ; Gowdy, J.N.
Author_Institution :
Goverment and Communication Systems Divison, RCA Corporation, Moorestown, NJ
fDate :
4/1/1977 12:00:00 AM
Abstract :
The L∞norm is used in some algorithms to determine the ordering of the pole-zero sections of cascade digital filters. This note develops simple expressions that easily evaluate the L∞norm entirely in the Z-domain for filters having zeros on the unit circle (i.e., Butterworth, Chebyshev, and elliptic digital filters designed using the bilinear Z-transformation).
Keywords :
Acoustics; Band pass filters; Chebyshev approximation; Computer aided software engineering; Digital filters; Filtering theory; Government; Poles and zeros; Speech processing; Transfer functions;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
DOI :
10.1109/TASSP.1977.1162920
