This paper discusses the general form of the transfer functions of linear lumped circuits. It is shown that an arbitrary transfer function defined on such circuits has a functional dependence on individual circuit parameters that is rational, with multi-linear numerator and denominator. This result is then used to introduce a suitable model for the uncertainty quantification of this class of circuits, namely a rational polynomial chaos expansion in place of the conventional single expansion.

A rational polynomial chaos formulation for the uncertainty quantification of linear circuits in the frequency domain / Manfredi, Paolo; Grivet Talocia, Stefano. - ELETTRONICO. - (2020), pp. 1-2. (Intervento presentato al convegno 13th International Conference on Scientific Computing in Electrical Engineering (SCEE 2020) tenutosi a Eindhoven, Paesi Bassi nel 16-20 February, 2020).

A rational polynomial chaos formulation for the uncertainty quantification of linear circuits in the frequency domain

Manfredi, Paolo;Grivet Talocia, Stefano
2020

Abstract

This paper discusses the general form of the transfer functions of linear lumped circuits. It is shown that an arbitrary transfer function defined on such circuits has a functional dependence on individual circuit parameters that is rational, with multi-linear numerator and denominator. This result is then used to introduce a suitable model for the uncertainty quantification of this class of circuits, namely a rational polynomial chaos expansion in place of the conventional single expansion.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2960965