Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, Vol.371, 155-158, 2001
Simulation of fractal immittance by ladder circuits
Fractal immittance FD, expressed by an admittance omega (a) with an optional value of a within the range 0 < a < 1, is simulated by ladder circuits with finite numbers of resistors and capacitors starting from the optimized circuit based on the distributed-relaxation-time (DRT) model. Thus designed DRT-equivalent ladder with a = 1/2, e.g., is found to be far more effective than the conventional ladder composed of identical rungs: for the bandwidth of 5 decades with a phase-angle error of +/-2 degrees, e.g., the conventional ladder involves 6.426 x 10(3) identical rungs, while 11 rungs are sufficient for the DRT-equivalent circuit.