Abstract
A class of rational systems is introduced that exhibit a /spl gamma/-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 /spl gamma/-homogeneous. Additionally, if the prototype is minimum phase, then the phase response is also /spl gamma/-homogeneous. This class of systems is useful for modeling 1/f spectral behavior and constant phase phenomena. >
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