On the use of Volterra series for real-time simulations of weakly nonlinear analog audio devices: application to the Moog ladder filter - Archive ouverte HAL
Communication Dans Un Congrès Année : 2006

On the use of Volterra series for real-time simulations of weakly nonlinear analog audio devices: application to the Moog ladder filter

Thomas Hélie

Résumé

In this paper, we show how the formalism of the Volterra series can be used to represent the nonlinear Moog ladder filter. The analog circuit is analyzed to produce a set of governing differential equations. The Volterra kernels of this system are solved from simple algebraic equations. They define an exact decomposition of the system. An identification procedure leads to structures composed of linear filters, sums and instantaneous products of signals. Finally, a discrete-time realization of the truncated series, which guarantees no aliasing, is performed.

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Dates et versions

hal-01106329 , version 1 (20-01-2015)

Identifiants

  • HAL Id : hal-01106329 , version 1

Citer

Thomas Hélie. On the use of Volterra series for real-time simulations of weakly nonlinear analog audio devices: application to the Moog ladder filter. DAFx - International Conference On Digital Audio Effects, Sep 2006, Montréal, Canada. pp.7-12. ⟨hal-01106329⟩
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