This book provides numerical methods for the modelling of musical instrumentsand the simulation of sound through synthesisation, potentially enabling morerealistic and complex sound production. Bilbao focuses on physical modelling synthesis techniques rather than the more established DSP techniques, setting out useful programming exercises, worked through problems and MATLAB code examples so that readers can easily implement the methods discussed in the book. It starts with a historical overview of digital sound synthesis techniques, highlighting the link between the various physical modelling methodologies. Bilbao then goes on to introduce time series and difference operators, and the simple harmonic oscillator, analyzing the various difference schemes, especially with respect to numerical stability and accuracy. Different numerical methods are examined next, starting with the finite difference method, then followed bya look at the 1D wave equation, bars and linear strings, nonlinear strings, acoustic tubes, and linear membranes and plates. The final chapters cover more complex methods including nonlinear plates, finite element methods and spectral methods. Bilbaos concluding remarks look to the future direction of the technology, musical applications, and the potential strengths and weaknesses of the methods.
- ISBN: 978-0-470-51046-9
- Editorial: John Wiley & Sons
- Encuadernacion: Cartoné
- Páginas: 456
- Fecha Publicación: 23/10/2009
- Nº Volúmenes: 1
- Idioma: Inglés