Publication IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer SciencesVol.E76-ANo.2pp.204-209 Publication Date: 1993/02/25 Online ISSN: DOI: Print ISSN: 0916-8508 Type of Manuscript: PAPER Category: Analog Circuits and Signal Processing Keyword: analog circuits and signal processing, power-law relaxations, fractal,
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Summary: Power-law decay of current for the application of step-function voltage observed for amorphous materials can be expressed by an admittance sa(0a1) of a linear diode using complex angular frequency s. It is shown that power-law decay can be interpreted as a superposition of exponential decays having fractally distributed relaxation times and simulated using RC networks. By use of a similar manner, admittance s-b (0b1) showing the relation of duality can be simulated using RL networks. According to these methods, we can synthesize the admittance involving non-integer exponents systematically.