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On the construction of self-similar rational models for power-law processes
Conference proceeding

On the construction of self-similar rational models for power-law processes

G Sisli, B Onaral, G Maskarinec and W.A Berger
Proceedings of IEEE-SP International Symposium on Time- Frequency and Time-Scale Analysis, pp 440-443
1994
DOI: https://doi.org/10.1109/TFSA.1994.467319

Abstract

Frequency response Helium Poles and zeros Power engineering and energy Power engineering computing Power system modeling Prototypes Signal processing
The rational modelling of power-law processes is equivalent to finding a linear time-invariant system described by a rational function H(s) with a power-law magnitude response. The construction of such systems is based on the notion of scale-invariance for a specific scale change formalized by the /spl gamma/-homogeneity principle. The scale-invariant nature of these systems is reflected not only in their magnitude response, but also in their pole-zero patterns. Based on these properties, rational models for power-law processes can be constructed by cascading frequency scaled replicas of rational prototype functions. A construction theorem is provided and the implications of conditions imposed on the prototypes are discussed. The simulations illustrating dynamics exhibited by self-similar rational systems are shown.< >

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