Nonlinear System Identification of Distortion in Guitar Effects Pedals

Publication Type  Report
Year of Publication  2004
Authors  Edgar Berdahl
Prepared for  EE199
Pages  12
Date  12/2004
Institution  UC Berkeley
City  Berkeley
Key Words  Distortion; Guitar Effects
Abstract  The Volterra Series provides a way to analyze a general nonlinear system [1]. The results of the analysis are an infinite set of parameters, which completely describe the nonlinear system under certain smoothness and stability restrictions. In fact, similarly to the Fourier series, a finite number of coefficients may be used as an approximate analysis. Unfortunately, the guitar effects systems we want to analyze often contain nonlinear functions that are hard to approximate because their derivative may not even be continuous. For example, a hard clipping function, such as an operational amplifier driven past the power supply rails, would require very many Volterra Series coefficients to be represented properly. This suggests that the Volterra Series is not well suited for this application.
Affiliation  CNMAT
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