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

摘要

Fractal immittance, expressed by an admit- tance s~a (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 +-1deg can be composed for ｜a｜= 0.1-0.9 using eighteen pairs or less of the elements.