Analytical solution of spectrum changes in simple nonlinear systems without memory, used in digital audio signal processing

Authors:
Jiri Schimmel;Jiri Misurec
Affiliations:
Department of Telecommunications FEEC, Brno University of Technology, Brno, Czech Republic;Department of Telecommunications FEEC, Brno University of Technology, Brno, Czech Republic
Venue:
CSECS'08 Proceedings of the 7th conference on Circuits, systems, electronics, control and signal processing
Year:
2008

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Abstract

This paper deals with an analytic solution of spectrum changes that appear in nonlinear discrete systems without memory whose transfer characteristics can be approximated via a piecewise-linear function. Such systems appear frequently in digital audio signal processing, for example in the case of signal saturation, overflow, elimination of denormal numbers, etc. The paper also deals with relations between the mutual ratio of amplitudes of the higher harmonics produced and the approximation parameters.