Discrete-time modelling of musical instruments

V Välimäki, J Pakarinen, C Erkut… - Reports on progress in …, 2005 - iopscience.iop.org
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 …

Acoustic modeling using the digital waveguide mesh

D Murphy, A Kelloniemi, J Mullen… - IEEE Signal Processing …, 2007 - ieeexplore.ieee.org
The digital waveguide mesh has been an active area of music acoustics research for over
ten years. Although founded in 1-D digital waveguide modeling, the principles on which it is …

Digital waveguides versus finite difference structures: Equivalence and mixed modeling

M Karjalainen, C Erkut - EURASIP Journal on Advances in Signal …, 2004 - Springer
Digital waveguides and finite difference time domain schemes have been used in physical
modeling of spatially distributed systems. Both of them are known to provide exact modeling …

Explicit higher-order FDTD schemes for 3D room acoustic simulation

J Van Mourik, D Murphy - IEEE/ACM Transactions on Audio …, 2014 - ieeexplore.ieee.org
The Finite Difference Time Domain method is gaining popularity as a means to simulate and
solve room acoustical problems. In this paper, a new set of stencils is defined that …

The KW-boundary hybrid digital waveguide mesh for room acoustics applications

DT Murphy, M Beeson - IEEE Transactions on Audio, Speech …, 2007 - ieeexplore.ieee.org
The digital waveguide mesh is a discrete-time simulation used to model acoustic wave
propagation through a bounded medium. It can be applied to the simulation of the acoustics …

BlockCompiler: Efficient simulation of acoustic and audio systems

M Karjalainen - Audio Engineering Society Convention 114, 2003 - aes.org
An experimental software environment called the BlockCompiler is described that is
developed for flexible yet efficient simulation of different acoustic and audio systems. It is …

Multirate simulations of string vibrations including nonlinear fret-string interactions using the functional transformation method

L Trautmann, R Rabenstein - EURASIP Journal on Advances in Signal …, 2004 - Springer
The functional transformation method (FTM) is a well-established mathematical method for
accurate simulations of multidimensional physical systems from various fields of science …

Compilation of unified physical models for efficient sound synthesis

M Karjalainen, C Erkut, L Savioja - 2003 IEEE International …, 2003 - ieeexplore.ieee.org
This paper describes a systematic approach to specification and compilation of different
physical modeling schemes particularly for sound synthesis studies. First we formulate …

On the equivalence of the digital waveguide and finite difference time domain schemes

JO Smith III - arxiv preprint physics/0407032, 2004 - arxiv.org
It is known that the digital waveguide (DW) method for solving the wave equation
numerically on a grid can be manipulated into the form of the standard finite-difference time …

Mixed physical modeling: DWG+ FDTD+ WDF

M Karjalainen - 2003 IEEE Workshop on Applications of Signal …, 2003 - ieeexplore.ieee.org
Physical modeling by computer, especially for sound synthesis of musical instruments, is
based on discrete time and space numerical simulation of the targeted physical systems …