Biblioteca de la Guitarra y Cuerda Pulsada

Biblioteca de la Guitarra y Cuerda Pulsada

Autor: Mike Collicutt

Extending the analysis and synthesis approach to classes of nonlinear systems

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This thesis investigates the properties of an analysis and re-synthesis method of a class of nonlinear systems, with an application to audio effects for guitar. The goal of this work is to develop a straight forward method to characterize certain types of nonlinear systems (the analysis), and subsequently use this characterization to create a generic structure for the model of the system. The model imitates the nonlinear system's behaviour such that the output of the model to a given input signal is the same as the output of the actual nonlinear system under study(the synthesis). A method for system identification of linear systems is first presented,and then the method is extended to analyze nonlinear systems as well.An in-depth presentation of how the method works is presented. The information extracted by the analysis is then used as parameters in a synthesis modelto emulate a particular nonlinear system under study.

The analysis/synthesis method is then tested on some simple memory less nonlinear systems with simple inputs. Finally, three ‘real-world' nonlinear systems are then used to validate the analysis/synthesis method developed in this work. The nonlinear systems areall distortion effects intended for electric guitar. Outputs of the model agreed well with the actual system output when the input was a simple sinusoid. Themodel's performance did however suffer when a wide-bandwidth musical signal was used as input. Outputs were lacking in higher harmonic content and overall gain.This is thought to be due to the limited bandwidth of the chirp used as well as alimitation on the number of harmonics that can be modeled.

Extending the analysis and synthesis approach to classes of nonlinear systems

 

 


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