There is a growing interest in Virtual Analog modeling algorithms for musical audio
processing designed in the Wave Digital (WD) domain. Such algorithms typically employ a …

Background Analog guitar effects, whether based upon vacuum tubes or solid-state devices,
consist of circuits that are accurately described in the audio frequency band by nonlinear …

Abstract The Wave Digital Filter (WDF) approach to discretizing electronic circuits has
generated substantial interest in the Virtual Analog research community, which is attracted to …

This paper presents a novel approach to the accurate time-domain simulation of nonlinear
circuits that employs a class of high-order implicit Runge-Kutta (RK) formulas. The RK …

Methods based on the wave digital concept are suited for the modelling of passive physical
systems. The generated wave digital models inhere both a high physical transparency as …

The recently proposed antiderivative antialiasing (ADAA) technique for stateful systems
involves two key features: 1) replacing a nonlinearity in a physical model or virtual analog …

Physical modeling of real-world systems involves building computer models from continuous-
time differential equations. These equations are derived from the physical principles …

ABSTRACT Wave Digital Filters were developed to discretize linear time invariant lumped
systems, particularly electronic circuits. The timeinvariant assumption is baked into the …

Recently, network-theoretical considerations of numerical integration methods have led to
so-called passive Runge-Kutta methods. In this paper, it is shown that these numerical …

Wave digital filter principles can be applied to the numerical solution of many kinds of
differential equations. It has been shown that, by merging the wave digital concept with …