#23 Chebyshev Model and Synchronized Swept Sine Method in Nonlinear Audio Effect Modeling
Antonin Novak, Laurent Simon, Pierrick Lotton, Joel Gilbert
A new method for the identification of nonlinear systems, based on
an input exponential swept sine signal has been proposed by Farina
ten years ago. This method has been recently modified in purpose of
nonlinear model estimation using a synchronized swept sine signal.
It allows a robust and fast one-path analysis and identification of
the unknown nonlinear system under test.
In this paper this modified method is applied with Chebyshev
polynomial decomposition. The combination of the Synchronized Swept
Sine Method and Chebyshev polynomials leads to a nonlinear model
consisting of several parallel branches, each branch containing a
nonlinear Chebyshev polynomial following by a linear filter. The
method is tested on an overdrive effect pedal to simulate an analog
nonlinear effect in digital domain.
