Differentiable IIR Filters for Machine Learning Applications

Boris Kuznetsov; Julian Parker; Fabian Esqueda
DAFx-2020 - Vienna (virtual)
In this paper we present an approach to using traditional digital IIR filter structures inside deep-learning networks trained using backpropagation. We establish the link between such structures and recurrent neural networks. Three different differentiable IIR filter topologies are presented and compared against each other and an established baseline. Additionally, a simple Wiener-Hammerstein model using differentiable IIRs as its filtering component is presented and trained on a guitar signal played through a Boss DS-1 guitar pedal.