Wave Digital Modeling and Implementation of Nonlinear Audio Circuits With Nullors

The nullor is a theoretical two-port element suitable to model several multi-port devices common in audio circuitry, such as ideal operational amplifiers, operational transconductance amplifiers, and transistors operating in linear regime. In this manuscript, we present an approach for the Wave Digi...

Full description

Saved in:
Bibliographic Details
Published in:IEEE/ACM transactions on audio, speech, and language processing speech, and language processing, 2021, Vol.29, p.3267-3279
Main Authors: Giampiccolo, Riccardo, Bari, Mauro Giuseppe de, Bernardini, Alberto, Sarti, Augusto
Format: Article
Language:English
Subjects:
Analog circuits
Circuits
Digital filters
Iterative methods
Modelling
nonlinear audio circuits
Nonlinear circuits
Nonlinearity
nonreciprocal connection networks
nullors
Operational amplifiers
Receivers & amplifiers
Scattering
Sound filters
Topology
Transconductance
Transistors
Wave Digital Filters
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The nullor is a theoretical two-port element suitable to model several multi-port devices common in audio circuitry, such as ideal operational amplifiers, operational transconductance amplifiers, and transistors operating in linear regime. In this manuscript, we present an approach for the Wave Digital (WD) modeling and implementation of circuits with multiple nullors. In particular, we propose an approach to compute scattering matrices of WD topological junctions absorbing nullors that is less computationally demanding than the techniques available in the literature on WD Filters. We show that the proposed approach turns out to be particularly useful when simulating nonlinear circuits through the Scattering Iterative Method (SIM), a WD fixed-point method recently developed for the solution of circuits with multiple nonlinearities, because it requires a frequent update of the scattering matrices. We also provide a novel convergence analysis of SIM applied to WD structures composed of multiple one-port nonlinear elements and a topological junction absorbing nullors. In order to verify the effectiveness of the proposed methodology, we discuss some WD implementations of analog audio circuits with multiple diodes and opamps, including a precision half-wave rectifier and a wave folder circuit.
ISSN:2329-9290
2329-9304
DOI:10.1109/TASLP.2021.3120627