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Numerical sound synthesis : finite difference schemes and simulation in musical acoustics / / Stefan Bilbao
| Numerical sound synthesis : finite difference schemes and simulation in musical acoustics / / Stefan Bilbao |
| Autore | Bilbao Stefan D |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | [Hoboken], : John Wiley & Sons, 2009 |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina | 781.2/3015118 |
| Soggetto topico |
Musical instruments - Mathematical models
Musical instruments - Computer simulation Finite differences |
| ISBN |
9786612291715
9781282291713 1282291718 9780470749012 0470749016 9780470749029 0470749024 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Numerical Sound Synthesis; Contents; 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 acoustics4.1 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 vibration7.1 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 synthesis9.3 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 difference operators: Cartesian coordinates; 10.3 Grid functions and difference operators: radial coordinates; 10.4 Problems; 10.5 Programming exercises; 11 The 2D wave equation; 11.1 Definition and properties; 11.2 A simple finite difference scheme; 11.3 Other finite difference schemes 11.4 Digital waveguide meshes11.5 Lumped mass-spring networks; 11.6 Modal synthesis; 11.7 Finite difference schemes in radial coordinates; 11.8 Comparative study II; 11.9 Problems; 11.10 Programming exercises; 12 Linear plate vibration; 12.1 The Kirchhoff thin plate model; 12.2 Loss and tension; 12.3 Plate excitation; 12.4 Plate-string connections; 12.5 Anisotropic plates; 12.6 The thin plate in radial coordinates; 12.7 Problems; 12.8 Programming exercises; 13 Nonlinear plate vibration; 13.1 The Berger plate model; 13.2 The von K ́arm ́an plate model; 13.3 Spherical shell vibration 13.4 Problems |
| Record Nr. | UNINA-9910139780003321 |
Bilbao Stefan D
|
||
| [Hoboken], : John Wiley & Sons, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Wave and scattering methods for numerical simulation [[electronic resource] /] / Stefan Bilbao
| Wave and scattering methods for numerical simulation [[electronic resource] /] / Stefan Bilbao |
| Autore | Bilbao Stefan D |
| Pubbl/distr/stampa | Chichester, West Sussex, England ; ; Hoboken, N.J., : J. Wiley, c2004 |
| Descrizione fisica | 1 online resource (382 p.) |
| Disciplina | 620/.001/1 |
| Soggetto topico |
Electric filters, Wave-guide
Electric filters, Digital Simulation methods |
| ISBN |
1-280-27254-6
9786610272549 0-470-30061-2 0-470-87018-4 0-470-87019-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
WAVE AND SCATTERING METHODS FOR NUMERICAL SIMULATION; Contents; Preface; Foreword; 1 Introduction; 1.1 An Overview of Scattering Methods; 1.1.1 Remarks on Passivity; 1.1.2 Case Study: The Kelly-Lochbaum Digital Speech Synthesis Model; 1.1.3 Digital Waveguide Networks; 1.1.4 A General Approach: Multidimensional Circuit Representations and Wave Digital Filters; 1.2 Questions; 2 Wave Digital Filters; 2.1 Classical Network Theory; 2.1.1 N-ports; 2.1.2 Power and Passivity; 2.1.3 Kirchhoff's Laws; 2.1.4 Circuit Elements; 2.2 Wave Digital Elements and Connections; 2.2.1 The Bilinear Transform
2.2.2 Wave Variables2.2.3 Pseudopower and Pseudopassivity; 2.2.4 Wave Digital Elements; 2.2.5 Adaptors; 2.2.6 Signal and Coefficient Quantization; 2.2.7 Vector Wave Variables; 2.3 Wave Digital Filters and Finite Differences; 3 Multidimensional Wave Digital Networks; 3.1 Symmetric Hyperbolic Systems; 3.2 Coordinate Changes and Grid Generation; 3.2.1 Structure of Coordinate Changes; 3.2.2 Coordinate Changes in (1 + 1)D; 3.2.3 Coordinate Changes in Higher Dimensions; 3.3 MD-passivity; 3.4 MD Circuit Elements; 3.4.1 The MD Inductor; 3.4.2 Other MD Elements 3.4.3 Discretization in the Spectral Domain3.4.4 Other Spectral Mappings; 3.5 The (1 + 1)D Advection Equation; 3.5.1 A Multidimensional Kirchhoff Circuit; 3.5.2 Stability; 3.5.3 An Upwind Form; 3.6 The (1 + 1)D Transmission Line; 3.6.1 MDKC for the (1 + 1)D Transmission Line Equations; 3.6.2 Digression: The Inductive Lattice Two-port; 3.6.3 Energetic Interpretation; 3.6.4 An MDWD Network for the (1 + 1)D Transmission Line; 3.6.5 Simplified Networks; 3.7 The (2 + 1)D Parallel-plate System; 3.7.1 MDKC and MDWD Network; 3.8 Finite Difference Interpretation 3.8.1 MDWD Networks as Multistep Schemes3.8.2 Numerical Phase Velocity and Parasitic Modes; 3.9 Initial Conditions; 3.10 Boundary Conditions; 3.10.1 MDKC Modeling of Boundaries; 3.11 Balanced Forms; 3.12 Higher-order Accuracy; 4 Digital Waveguide Networks; 4.1 FDTD and TLM; 4.2 Digital Waveguides; 4.2.1 The Bidirectional Delay Line; 4.2.2 Impedance; 4.2.3 Wave Equation Interpretation; 4.2.4 Note on the Different Definitions of Wave Quantities; 4.2.5 Scattering Junctions; 4.2.6 Vector Waveguides and Scattering Junctions; 4.2.7 Transitional Note; 4.3 The (1 + 1)D Transmission Line 4.3.1 First-order System and the Wave Equation4.3.2 Centered Difference Schemes and Grid Decimation; 4.3.3 A (1 + 1)D Waveguide Network; 4.3.4 Waveguide Network and the Wave Equation; 4.3.5 An Interleaved Waveguide Network; 4.3.6 Varying Coefficients; 4.3.7 Incorporating Losses and Sources; 4.3.8 Numerical Phase Velocity and Dispersion; 4.3.9 Boundary Conditions; 4.4 The (2 + 1)D Parallel-plate System; 4.4.1 Defining Equations and Centered Differences; 4.4.2 The Waveguide Mesh; 4.4.3 Reduced Computational Complexity and Memory Requirements in the Standard Form of the Waveguide Mesh 4.4.4 Boundary Conditions |
| Record Nr. | UNINA-9910145904203321 |
|
Bilbao Stefan D
|
||
| Chichester, West Sussex, England ; ; Hoboken, N.J., : J. Wiley, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Wave and scattering methods for numerical simulation / / Stefan Bilbao
| Wave and scattering methods for numerical simulation / / Stefan Bilbao |
| Autore | Bilbao Stefan D |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Chichester, West Sussex, England ; ; Hoboken, N.J., : J. Wiley, c2004 |
| Descrizione fisica | 1 online resource (382 p.) |
| Disciplina | 620/.001/1 |
| Soggetto topico |
Electric filters, Wave-guide
Electric filters, Digital Simulation methods |
| ISBN |
9786610272549
9781280272547 1280272546 9780470300619 0470300612 9780470870181 0470870184 9780470870198 0470870192 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
WAVE AND SCATTERING METHODS FOR NUMERICAL SIMULATION; Contents; Preface; Foreword; 1 Introduction; 1.1 An Overview of Scattering Methods; 1.1.1 Remarks on Passivity; 1.1.2 Case Study: The Kelly-Lochbaum Digital Speech Synthesis Model; 1.1.3 Digital Waveguide Networks; 1.1.4 A General Approach: Multidimensional Circuit Representations and Wave Digital Filters; 1.2 Questions; 2 Wave Digital Filters; 2.1 Classical Network Theory; 2.1.1 N-ports; 2.1.2 Power and Passivity; 2.1.3 Kirchhoff's Laws; 2.1.4 Circuit Elements; 2.2 Wave Digital Elements and Connections; 2.2.1 The Bilinear Transform
2.2.2 Wave Variables2.2.3 Pseudopower and Pseudopassivity; 2.2.4 Wave Digital Elements; 2.2.5 Adaptors; 2.2.6 Signal and Coefficient Quantization; 2.2.7 Vector Wave Variables; 2.3 Wave Digital Filters and Finite Differences; 3 Multidimensional Wave Digital Networks; 3.1 Symmetric Hyperbolic Systems; 3.2 Coordinate Changes and Grid Generation; 3.2.1 Structure of Coordinate Changes; 3.2.2 Coordinate Changes in (1 + 1)D; 3.2.3 Coordinate Changes in Higher Dimensions; 3.3 MD-passivity; 3.4 MD Circuit Elements; 3.4.1 The MD Inductor; 3.4.2 Other MD Elements 3.4.3 Discretization in the Spectral Domain3.4.4 Other Spectral Mappings; 3.5 The (1 + 1)D Advection Equation; 3.5.1 A Multidimensional Kirchhoff Circuit; 3.5.2 Stability; 3.5.3 An Upwind Form; 3.6 The (1 + 1)D Transmission Line; 3.6.1 MDKC for the (1 + 1)D Transmission Line Equations; 3.6.2 Digression: The Inductive Lattice Two-port; 3.6.3 Energetic Interpretation; 3.6.4 An MDWD Network for the (1 + 1)D Transmission Line; 3.6.5 Simplified Networks; 3.7 The (2 + 1)D Parallel-plate System; 3.7.1 MDKC and MDWD Network; 3.8 Finite Difference Interpretation 3.8.1 MDWD Networks as Multistep Schemes3.8.2 Numerical Phase Velocity and Parasitic Modes; 3.9 Initial Conditions; 3.10 Boundary Conditions; 3.10.1 MDKC Modeling of Boundaries; 3.11 Balanced Forms; 3.12 Higher-order Accuracy; 4 Digital Waveguide Networks; 4.1 FDTD and TLM; 4.2 Digital Waveguides; 4.2.1 The Bidirectional Delay Line; 4.2.2 Impedance; 4.2.3 Wave Equation Interpretation; 4.2.4 Note on the Different Definitions of Wave Quantities; 4.2.5 Scattering Junctions; 4.2.6 Vector Waveguides and Scattering Junctions; 4.2.7 Transitional Note; 4.3 The (1 + 1)D Transmission Line 4.3.1 First-order System and the Wave Equation4.3.2 Centered Difference Schemes and Grid Decimation; 4.3.3 A (1 + 1)D Waveguide Network; 4.3.4 Waveguide Network and the Wave Equation; 4.3.5 An Interleaved Waveguide Network; 4.3.6 Varying Coefficients; 4.3.7 Incorporating Losses and Sources; 4.3.8 Numerical Phase Velocity and Dispersion; 4.3.9 Boundary Conditions; 4.4 The (2 + 1)D Parallel-plate System; 4.4.1 Defining Equations and Centered Differences; 4.4.2 The Waveguide Mesh; 4.4.3 Reduced Computational Complexity and Memory Requirements in the Standard Form of the Waveguide Mesh 4.4.4 Boundary Conditions |
| Record Nr. | UNINA-9910827984303321 |
|
Bilbao Stefan D
|
||
| Chichester, West Sussex, England ; ; Hoboken, N.J., : J. Wiley, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||