Download Modelling of nonlinear state-space systems using a deep neural network In this paper we present a new method for the pseudo black-box modelling of general continuous-time state-space systems using a discrete-time state-space system with an embedded deep neural network. Examples are given of how this method can be applied to a number of common nonlinear electronic circuits used in music technology, namely two kinds of diode-based guitar distortion circuits and the lowpass filter of the Korg MS-20 synthesizer.
Download Differentiable IIR Filters for Machine Learning Applications 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.
Download Differentiable White-Box Virtual Analog Modeling Component-wise circuit modeling, also known as “white-box”
modeling, is a well established and much discussed technique in
virtual analog modeling. This approach is generally limited in accuracy by lack of access to the exact component values present in
a real example of the circuit. In this paper we show how this problem can be addressed by implementing the white-box model in a
differentiable form, and allowing approximate component values
to be learned from raw input–output audio measured from a real
device.
Download Antialiased Black-Box Modeling of Audio Distortion Circuits Using Real Linear Recurrent Units In this paper, we propose the use of real-valued Linear Recurrent
Units (LRUs) for black-box modeling of audio circuits. A network architecture composed of real LRU blocks interleaved with
nonlinear processing stages is proposed.
Two case studies are
presented, a second-order diode clipper and an overdrive distortion pedal. Furthermore, we show how to integrate the antiderivative antialiaisng technique into the proposed method, effectively
lowering oversampling requirements. Our experiments show that
the proposed method generates models that accurately capture the
nonlinear dynamics of the examined devices and are highly efficient, which makes them suitable for real-time operation inside
Digital Audio Workstations.
Download A Virtual Analog Model of the Edp Wasp VCF In this paper we present a virtual analog model of the voltagecontrolled filter used in the EDP Wasp synthesizer. This circuit is an interesting case study for virtual analog modeling due to its characteristic nonlinear and highly dynamic behavior which can be attributed to its unusual design. The Wasp filter consists of a state variable filter topology implemented using operational transconductance amplifiers (OTAs) as the cutoff-control elements and CMOS inverters in lieu of operational amplifiers, all powered by a unipolar power supply. In order to accurately model the behavior of the circuit we propose extended models for its nonlinear components, focusing particularly on the OTAs. The proposed component models are used inside a white-box circuit modeling framework to create a digital simulation of the filter which retains the interesting characteristics of the original device.