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Table of Contents

1. Introduction.- 2. Sound-Based Synthesis Methods.- 1 Wavetable synthesis.- 2 Granular synthesis.- 3 Additive synthesis.- 4 Subtractive synthesis.- 5 FM synthesis.- 6 Combinations of sound-based synthesis methods.- 3. Physical Description of Musical instruments.- 1 General notation.- 2 Subdivision of a musical instrument into vibration generators and a resonant body.- 3 Physical description of string vibrations.- 4 Physical description of membrane vibrations.- 5 Physical description of resonant bodies.- 6 Chapter summary.- 4. Classical Synthesis Methods Based on Physical Models.- 1 Finite difference method.- 2 Digital waveguide method.- 3 Modal synthesis.- 4 Chapter summary.- 5. Functional Transformation Method.- 1 Fundamental principles of the FTM.- 2 Application of the FTM to vibrating strings.- 3 Application of the FTM to vibrating membranes.- 4 Application of the FTM to resonant bodies.- 5 Chapter summary.- 6. Comparison of the Ftm with the Classical Physical Modeling Methods.- 1 Comparison of the FTM with the FDM.- 2 Comparison and combination of the FTM with the DWG.- 3 Comparison of the FTM with the MS.- 4 Chapter conclusions.- 7. Summary, Conclusions, and Outlook.

Reviews

From the reviews: "This is a book devoted to digital sound synthesis (DSS). The exposition makes full use of modern mathematical tools. ! The book represents an interesting contribution to music synthesis and the reviewer thinks it will soon become a reference volume in the electric and mechanical domains." (D. Stanomir, Mathematical Reviews, 2005 b) "This book ! gives not only a thorough introduction to the Functional Transformation Method itself, but provides an excellent overview of existing alternatives. ! The book is exemplary in clarity as well as for references and lists of symbols, variables, abbreviations, etc. More than fifty figures are included. ! an innovative and far-reaching text that should find its way to all institutes where sound synthesis is taught or researched." (K. Guettler, Acta Acustica united with Acustica, Vol. 91 (4), 2005)