Numerical Sound Synthesis (PDF)

Preface. 1 Sound synthesis and physical modeling. 1.1 Abstract digital sound synthesis. 1.2 Physical modeling. 1.3 Physical modeling: a larger view. 2 Time series and difference operators. 2.1 Time series. 2.2 Shift, difference, and averaging operators. 2.3 Frequency domain analysis. 2.4 Energetic manipulations and identities. 2.5 Problems. 3 The oscillator. 3.1 The simple harmonic oscillator. 3.2 A finite difference scheme. 3.3 Other schemes. 3.4 Lumped mass-spring networks. 3.5 Loss. 3.6 Sources. 3.7 Problems. 3.8 Programming exercises. 4 The oscillator in musical acoustics. 4.1 Nonlinear oscillators. 4.2 Lossless oscillators. 4.3 Lossy oscillators. 4.4 Problems. 4.5 Programming exercises. 5 Grid functions and finite difference operators in 1D. 5.1 Partial differential operators and PDEs. 5.2 Grid functions and difference operators. 5.3 Coordinate changes. 5.4 Problems. 5.5 Programming exercises. 6 The 1D wave equation. 6.1 Definition and properties. 6.2 A simple finite difference scheme. 6.3 Other schemes. 6.4 Modal synthesis. 6.5 Loss. 6.6 Comparative study I. 6.7 Problems. 6.8 Programming exercises. 7 Linear bar and string vibration. 7.1 The ideal uniform bar. 7.2 Stiff strings. 7.3 Frequency-dependent loss. 7.4 Coupling with bow models. 7.5 Coupling with hammer and mallet models. 7.6 Multiple strings. 7.7 Prepared strings. 7.8 Coupled bars. 7.9 Helical springs. 7.10 Spatial variation and stretched coordinates. 7.11 Problems. 7.12 Programming exercises. 8 Nonlinear string vibration. 8.1 The Kirchhoff-Carrier string model. 8.2 General planar nonlinear string motion. 8.3 Non-planar string motion. 8.4 Problems. 8.5 Programming exercises. 9 Acoustic tubes. 9.1 Webster's equation. 9.2 The vocal tract and speech synthesis. 9.3 Reed wind instruments. 9.4 Other wind instruments. 9.5 Problems. 9.6 Programming exercises. 10 Grid functions and finite difference operators in 2D. 10.1 Partial differential operators and PDEs in two space variables. 10.2 Grid functions and

Stefan Bilbao, School of Arts, Culture and Environment, University of Edinburgh, UK
Dr Stefan Bilbao is currently a Lecturer of Music at the University of Edinburgh, specializing in sound synthesis based on physical models of musical instruments, with a particular focus on the intersection between digital filtering techniques and numerical simulation methods. He has been involved in computer music research since 1992, working firstly at the Institut de Recherche et Coordination Acoustique Musicale (IRCAM) under a joint fellowship with Harvard University, then at the Space, Telecommunications and Radioscience Laboratory (STAR Lab). Dr Bilbao then moved UK to take a post as a Lecturer at the Sonic Arts Research Centre (SARC) at the Queens University, Belfast, and in 2005, at the School of Arts, Culture and Environment at the University of Edinburgh. He is now undertaking a project supported by the Engineering and Physical Sciences Research Council UK for the development of new numerical techniques for sound synthesis. He teaches both undergraduate and postgraduate courses on musical acoustics, DSP, and musical applications of Fourier theory and has written over 10 published journal articles, 30 conference papers and the book Wave and Scattering Methods for Numerical Simulation for Wiley, published in 2004.

Dieses eBook können Sie uneingeschränkt auf allen Geräten der tolino Familie lesen. Zum Lesen auf sonstigen eReadern und am PC benötigen Sie eine Adobe ID.