Some prominent aspects of the inverse Chebyshev functions

Author

Kim, H.K. ; Song, S.S. ; Kim, D.Y.

Author_Institution

Dept. of Electr. & Comput. Eng., Manitoba Univ., Winnipeg, Man., Canada

Volume

38

Issue

3

fYear

1991

fDate

3/1/1991 12:00:00 AM

Firstpage

320

Lastpage

322

Abstract

It is shown that, given the magnitude specifications in the passband and stopband, the inverse Chebyshev functions require the identical order n as the Chebyshev counterparts. The phase and time-delay characteristics of the inverse Chebyshev functions as compared to Chebyshev functions are investigated. Unlike the Chebyshev or elliptic filters, the inverse Chebyshev functions possess the maximally flat magnitude at DC, and it decreases monotonically throughout the passband. This fact implies that the phase and time-delay characteristics of the inverse Chebyshev functions must be preferable to those of the Chebyshev functions

Keywords

Chebyshev approximation; delays; filtering and prediction theory; filters; inverse Chebyshev functions; magnitude specifications; passband; phase characteristics; stopband; time-delay characteristics; Chebyshev approximation; Circuits and systems; Curve fitting; Distributed computing; Distribution functions; Equations; Integrated circuit interconnections; LAN interconnection; Logic; Semiconductor device measurement;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.101326

Filename

101326