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Cited by 153Music Technology and Sound StudiesMusic and Audio ProcessingDigital Filter Design and Implementation

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Discrete-time modelling of musical instruments

Välimäki, Vesa, Pakarinen, Jyri, Erkut, Cumhur, Karjalainen, Matti·2006·Reports on Progress in Physics
DOI 10.1088/0034-4885/69/1/r01
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Abstract

This article describes physical modelling techniques that can be used for simulating musical instruments. The methods are closely related to digital signal processing. They discretize the system with respect to time, because the aim is to run the simulation using a computer. The physics-based modelling methods can be classified as mass-spring, modal, wave digital, finite difference, digital waveguide and source-filter models. We present the basic theory and a discussion on possible extensions for each modelling technique. For some methods, a simple model example is chosen from the existing literature demonstrating a typical use of the method. For instance, in the case of the digital waveguide modelling technique a vibrating string model is discussed, and in the case of the wave digital filter technique we present a classical piano hammer model. We tackle some nonlinear and time-varying models and include new results on the digital waveguide modelling of a nonlinear string. Current trends and future directions in physical modelling of musical instruments are discussed.

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Metadata

Authors
Välimäki, V., Pakarinen, J., Erkut, C., & Karjalainen, M.
ORCID
Venue
Reports on Progress in Physics
Publisher
IOP Publishing
Published
2005-10-17
Volume
69
Issue
1
Pages
1-78
ISSN
  • 0034-4885 (ISSN-L)
  • 1361-6633
DOI
10.1088/0034-4885/69/1/r01
OpenAlex
W2123688315
Cited by
153
References
3
Citations by year
2026: 2 · 2024: 2 · 2023: 2 · 2022: 9 · 2021: 3 · 2020: 6 · 2019: 8 · 2018: 5 · 2017: 5 · 2016: 8 · 2015: 9 · 2014: 8 · 2013: 9 · 2012: 9
FWCI
13.50
Type
journal article
Language
en
Open access
closed
Locations
  • Reports on Progress in Physics (publishedVersion)
  • VBN Forskningsportal (Aalborg Universitet) (submittedVersion)
Topics
  • Social Sciences › Arts and Humanities › Music › Music Technology and Sound Studies
  • Physical Sciences › Computer Science › Signal Processing › Music and Audio Processing
  • Physical Sciences › Computer Science › Signal Processing › Digital Filter Design and Implementation
Keywords
physical modeling, musical instrument simulation, discrete-time systems, mass-spring system, modal model, wave digital filters, finite difference model, source-filter model

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