TY - JOUR
T1 - Discrete-time modelling of musical instruments
AU - Välimäki, Vesa
AU - Pakarinen, Jyri
AU - Erkut, Cumhur
AU - Karjalainen, Matti
PY - 2006/1/1
Y1 - 2006/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=28444452206&partnerID=8YFLogxK
U2 - 10.1088/0034-4885/69/1/R01
DO - 10.1088/0034-4885/69/1/R01
M3 - Journal article
AN - SCOPUS:28444452206
SN - 0034-4885
VL - 69
SP - 1
EP - 78
JO - Reports on Progress in Physics
JF - Reports on Progress in Physics
IS - 1
ER -