Simulation of Fractal Immittance by Analog Circuits: An Approach to the Optimized Circuits

Michio SUGI  Yoshiaki HIRANO  Yasuhiro F. MIURA  Kazuhiro SAITO  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E82-A   No.8   pp.1627-1635
Publication Date: 1999/08/25
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Circuit Theory
analog circuits and signal processing,  fractal,  fractal immittance,  fractance,  

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Fractal immittance, expressed by an admittance sa (0<|a|<1), is simulated by the analog circuits composed of finite numbers of conventional elements, resistance R, capacitance C and inductance L, based on the distributed-relaxation-time models. The correlation between the number of R-C or R-L pairs and the optimum pole interval to give the widest bandwidth is estimated for each a-value by the numerical calculation for each circuit against a given criterion with respect to the phase angle. It is found that the bandwidth of 5 decades with a phase-angle error of 1 can be composed for |a|=0.1-0.9 using eighteen pairs or less of the elements.