Ripple-pass function

Author

Valand, Janez

Volume

21

Issue

6

fYear

1974

fDate

11/1/1974 12:00:00 AM

Firstpage

763

Lastpage

773

Abstract

The well-known relation for an all-pass function is generalized by the introduction of two parameters $k_{a}$ and $k_{b}$ making $F(s)=frac{EvP(s)-k_{a}OdP(s)}{EvP(s)+k_{b}OdP(s)}$ where $P(s)$ is a Hurwitz polynomial, while $EvP(s)$ and $OdP(s)$ are its even and odd parts, respectively. It is shown that the amplitude, phase, and group delay of such a generalized all-pass function ripple, and that the ripples are dependent on the two introduced parameters and their ratio $K = k_{a}/k_{b}$ . Thus the name "ripple-pass function." Some interesting and important features of the discussed function have been considered here. The ripple-pass function is suitable for practical applications such as amplitude, phase, and/or delay equalization, or for design of narrow-bandpass or bandstop (notch) filters. The ripple-pass function can be easily realized by using simple passive and active networks.

Keywords

All-pass networks; Bandpass filters; Delay equalizers; Equalizers; Equiripple delay filters; Equiripple filters; Notch filters; Passive networks and filters; Circuit theory; Control systems; Delay; Frequency; Impedance; Linear systems; Polynomials; Servomechanisms; Time factors; Transfer functions;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/TCS.1974.1083950

Filename

1083950