Title :
A class of rational systems with scale-invariant frequency response
Author :
Maskarinec, Gregory J. ; Onaral, Banu
Author_Institution :
Martin Marietta, Philadelphia, PA, USA
fDate :
1/1/1994 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
