Title :
On the relation between the maximum errors of the least pth approximation and the minimax approximation by a rational function
Author :
Nishi, Tetsuo ; Lu, Feng
Author_Institution :
Dept. of Comput. Sci. & Commun. Eng., Kyushu Univ., Fukuoka, Japan
Abstract :
This paper deals with the least pth approximation (p even) by a rational function and gives a theoretical lower bound for the ratio of the maximum error of the minimax approximation to that of the least pth approximation. Through numerical examples on various kinds of functions we verified that the above lower bound is a good estimation for the corresponding actual ratios. These results show that the least pth approximation for p=8 or 16 is usually enough to achieve a good approximation to the minimax approximation
Keywords :
Chebyshev approximation; filters; minimax techniques; network synthesis; Chebyshev approximation; filter design; least pth approximation; lower bound; maximum errors; minimax approximation; rational function; Minimax techniques;
Conference_Titel :
Circuits and Systems, 1998. Proceedings. 1998 Midwest Symposium on
Conference_Location :
Notre Dame, IN
Print_ISBN :
0-8186-8914-5
DOI :
10.1109/MWSCAS.1998.759558
