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Journal Article

Gray-Box Modeling of Guitar Amplifiers

Authors: Eichas, Felix; Zölzer, Udo

Journal of the Audio Engineering Society · Volume 66 · Issue 12 · pp. 1006–1015 · December 2018

Abstract

Musical distortion circuits, especially guitar amplifiers, have been the subject of virtual analog modeling for years. There exists two main modeling approaches: white-box modeling, where the internal properties are fully known, and gray-box modeling, where only the input and output are available. This work proposes a gray-box modeling approach for analog guitar amplifiers using iterative optimization to adjust the parameters of a block-based model. The only assumption made about the reference system is its basic structure. The digital model is an extended Wiener–Hammerstein model consisting of a linear time-invariant (LTI) block, a nonlinear block with a nonlinear mapping function, and another LTI block connected in series. The model is adapted in two steps: first the filters are measured, and then the parameters for the nonlinear part of the digital model are optimized with the Levenberg–Marquardt method to minimize a cost-function describing the error between the digital model and the analog reference system. A small number of guitar amplifiers were modeled, the adapted model was evaluated with objective scores, and a listening test was performed to rate its quality.

Details

Publication
Journal of the Audio Engineering Society
Volume
66
Issue
12
Pages
1006–1015
Publication date
December 6, 2018
Affiliation
Helmut Schmidt University, Hamburg, Germany (See document for exact affiliation information.)
Type
Journal Article