A class of rational systems with scale-invariant frequency response

Author

Maskarinec, Gregory J. ; Onaral, Banu

Author_Institution

Martin Marietta, Philadelphia, PA, USA

Volume

41

Issue

1

fYear

1994

fDate

1/1/1994 12:00:00 AM

Firstpage

75

Lastpage

79

Abstract

A class of rational systems is introduced that exhibit a γ-homogeneous magnitude response or, equivalently, are scale-invariant for a prescribed scale change. The systems are characterized by the cascade of frequency-scaled replicas of a prototype rational function that satisfies certain conditions so that the magnitude response is γ-homogeneous. Additionally, if the prototype is minimum phase, then the phase response is also γ-homogeneous. This class of systems is useful for modeling 1/f spectral behavior and constant phase phenomena

Keywords

frequency response; linear systems; poles and zeros; spectral analysis; γ-homogeneous magnitude response; 1/f spectral behavior; constant phase phenomena; frequency-scaled replica cascade; linear time invariant stable rational system; phase response; poles; rational systems; scale-invariant frequency response; zeros; Circuits; Context modeling; Frequency response; Poles and zeros; Power system modeling; Prototypes;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.260228

Filename

260228