A wave digital Newton-Raphson method for virtual analog modeling of audio circuits with multiple one-port nonlinearities

A Bernardini, E Bozzo, F Fontana… - IEEE/ACM Transactions …, 2021 - ieeexplore.ieee.org
The digital implementation of a nonlinear audio circuit often employs the Newton-Raphson
(NR) method for solving the corresponding system of implicit ordinary differential equations …

[PDF][PDF] Resolving wave digital filters with multiple/multiport nonlinearities

KJ Werner, V Nangia, JO Smith III, JS Abel - Proc. 18th Conf. Digital Audio …, 2015 - ntnu.edu
We present a novel framework for develo** Wave Digital Filter (WDF) models from
reference circuits with multiple/multiport nonlinearities. Collecting all nonlinearities into a …

Linear multistep discretization methods with variable step-size in nonlinear wave digital structures for virtual analog modeling

A Bernardini, P Maffezzoni… - IEEE/ACM Transactions on …, 2019 - ieeexplore.ieee.org
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 …

[PDF][PDF] An improved and generalized diode clipper model for wave digital filters

KJ Werner, V Nangia, A Bernardini… - Audio Engineering …, 2015 - researchgate.net
We derive a novel explicit wave-domain model for “diode clipper” circuits with an arbitrary
number of diodes in each orientation, applicable, eg, to wave digital filter emulation of guitar …

Modeling nonlinear wave digital elements using the Lambert function

A Bernardini, KJ Werner, A Sarti… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
A large class of transcendental equations involving exponentials can be made explicit using
the Lambert W function. In the last fifteen years, this powerful mathematical tool has been …

Wave-based analysis of large nonlinear photovoltaic arrays

A Bernardini, P Maffezzoni, L Daniel… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In this paper, a novel analysis method based on wave digital (WD) principles is presented.
The method is employed for modeling and efficiently simulating large photovoltaic (PV) …

Vector wave digital filters and their application to circuits with two-port elements

A Bernardini, P Maffezzoni… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Wave Digital Filters (WDFs) turn circuits into networks of input-output relationships that can
be computed in an explicit fashion. This is done through a linear port-wise map** of …

Generalized wave digital filter realizations of arbitrary reciprocal connection networks

A Bernardini, KJ Werner, JO Smith… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
In this paper, an existing approach for modeling and efficiently implementing arbitrary
reciprocal connection networks using wave digital (WD) scattering junctions based on …

Resolving grouped nonlinearities in wave digital filters using iterative techniques

MJ Olsen, KJ Werner, JO Smith - 19th International Conference on …, 2016 - pure.qub.ac.uk
In this paper, iterative zero-finding techniques are proposed to resolve groups of
nonlinearities occurring in Wave Digital Filters. Two variants of Newton's method are …

Wave digital modeling of nonlinear 3-terminal devices for virtual analog applications

A Bernardini, AE Vergani, A Sarti - Circuits, Systems, and Signal …, 2020 - Springer
We propose a novel modeling method for circuits containing arbitrary nonlinear 3-terminal
devices, which operates in the wave digital (WD) domain. This approach leads to the …