A Simple Non-linear Transfer Function for a Wiener-Hammerstein Model to Simulate Guitar Distortion and Overdrive Effects

Adalberto Schuck, Luiz F. Ferreira, Ronaldo Husemann () and Bardo E. J. Bodmann ()
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Adalberto Schuck: Federal University of Rio Grande do Sul (UFRGS), Electrical Engineering Department (DELET)
Luiz F. Ferreira: Federal University of Rio Grande do Sul (UFRGS), Electrical Engineering Department (DELET)
Ronaldo Husemann: Federal University of Rio Grande do Sul (UFRGS), Electrical Engineering Department (DELET)
Bardo E. J. Bodmann: Federal University of Rio Grande do Sul (UFRGS), Mechanical Engineering Department (DEMEC)

Chapter Chapter 33 in Integral Methods in Science and Engineering, 2019, pp 425-436 from Springer

Abstract: Abstract Valve amplifiers have been modulated recently by digital signal processing techniques, using the Wiener-Hammerstein cell. The key of this approach is to identify the non-linear static transfer function. In the present contribution we model audio distortion pedal effects and propose a transfer function model derived from a modification of the Shockley equation. Six limiter circuits with different types of diodes (silicon, germanium and LED) were evaluated using a voltage sine wave of 10 Hz and amplitude such as to provide a 10 mA input current. Ten seconds of input and output signals were sampled (100 kSamples/s) and the model was fitted to the data using the Levenberg-Marquardt non-linear least square method. The model worked well, providing a root mean square standard error between the data and best fit less than 10−4, except for the LED limiter circuit. The present approach resulted in an analytical representation of the non-linear transfer function, which can generate directly from a discretised input signal the corresponding output signal according to a desired response of a chosen limiter model.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-16077-7_33

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DOI: 10.1007/978-3-030-16077-7_33

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