Publication

Nonlinear Circuit Analysis using Multivariate Volterra Operators

2011
Journal Articles

Abstract

The work introduces a mathematical framework and a corresponding implementable algorithm to automatically perform Volterra analysis of weakly nonlinear circuits. The analysis is based on the general composition rule for multivariate Volterra operators. The approach is amenable to the design of efficient computer algorithms as it just involves multiplication and inversion of sparse matrices and Kronecker products. An algorithms to construct the higher-order device matrices from elemental information about the circuit's topology and nonlinear device characteristics is given. The example of a single MOSFET-transistor amplifier is used to illustrate the method.

Official source

https://infoscience.epfl.ch/entities/publication/1cb39a58-5cb1-4fb2-bdb8-86baf8f1b916

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2011
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/1cb39a58-5cb1-4fb2-bdb8-86baf8f1b916

About this result

Related concepts (32)

Linear circuit

A linear circuit is an electronic circuit which obeys the superposition principle. This means that the output of the circuit F(x) when a linear combination of signals ax1(t) + bx2(t) is applied to it is equal to the linear combination of the outputs due to the signals x1(t) and x2(t) applied separately: It is called a linear circuit because the output voltage and current of such a circuit are linear functions of its input voltage and current. This kind of linearity is not the same as that of straight-line graphs.

Algorithm

In mathematics and computer science, an algorithm (ˈælɡərɪðəm) is a finite sequence of rigorous instructions, typically used to solve a class of specific problems or to perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can use conditionals to divert the code execution through various routes (referred to as automated decision-making) and deduce valid inferences (referred to as automated reasoning), achieving automation eventually.

Equivalent circuit

In electrical engineering, an equivalent circuit refers to a theoretical circuit that retains all of the electrical characteristics of a given circuit. Often, an equivalent circuit is sought that simplifies calculation, and more broadly, that is a simplest form of a more complex circuit in order to aid analysis. In its most common form, an equivalent circuit is made up of linear, passive elements. However, more complex equivalent circuits are used that approximate the nonlinear behavior of the original circuit as well.

Related publications (32)

Nonlinear Circuit Analysis using Multivariate Volterra Operators

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