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Synthesis of nonlinear multiport resistors: a PWL approach



This paper presents a method for the approximate synthesis of nonlinear multiport resistors. According to some fundamental circuit theory results, the general problem of synthesizing a multiport resistor with given constitutive equations corresponds to that of the synthesis of nonlinear controlled sources. Following this idea, in this paper, we focus on the design of nonlinear controlled sources using a piecewise-linear (PWL) approach. The constitutive equations are first approximated by resorting to canonical expressions for continuous PWL functions, and then implemented using a set of elementary building blocks. The proposed method is applied to the synthesis of the nonlinear resistive part of an equivalent circuit of the Hodgkin–Huxley nerve membrane model

Topics: Hodgkin Huxley nerve membrane model, multiport resistor synthesis, nonlinear circuit theory, piecewise linear approximation
Publisher: 'Institute of Electrical and Electronics Engineers (IEEE)'
Year: 2002
DOI identifier: 10.1109/TCSI.2002.801253
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