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Numerical Sound Synthesis

Finite Difference Schemes and Simulation in Musical Acoustics

Stefan Bilbao

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Naturwissenschaften, Medizin, Informatik, Technik / Elektronik, Elektrotechnik, Nachrichtentechnik


Digital sound synthesis has long been approached using standarddigital filtering techniques. Newer synthesis strategies, however,make use of physical descriptions of musical instruments, and allowfor much more realistic and complex sound production and therebysynthesis becomes a problem of simulation. This book has a special focus on time domain finite differencemethods presented within an audio framework. It covers time seriesand difference operators, and basic tools for the construction andanalysis of finite difference schemes, including frequency-domainand energy-based methods, with special attention paid to problemsinherent to sound synthesis. Various basic lumped systems andexcitation mechanisms are covered, followed by a look at the 1Dwave equation, linear bar and string vibration, acoustic tubemodelling, and linear membrane and plate vibration. Variousadvanced topics, such as the nonlinear vibration of strings andplates, are given an elaborate treatment. Key features: * Includes a historical overview of digital sound synthesistechniques, highlighting the links between the various physicalmodelling methodologies. * A pedagogical presentation containing over 150 problems andprogramming exercises, and numerous figures and diagrams, and codefragments in the MATLAB® programming language helps the readerwith limited experience of numerical methods reach an understandingof this subject. * Offers a complete treatment of all of the major families ofmusical instruments, including certain audio effects. Numerical Sound Synthesis is suitable for audio andsoftware engineers, and researchers in digital audio, soundsynthesis and more general musical acoustics. Graduate students inelectrical engineering, mechanical engineering or computer science,working on the more technical side of digital audio and soundsynthesis, will also find this book of interest.


(Zentralblatt Math, 2010)
"It was a pleasure to read this book, which can be approached from many perspectives. In fact, the author uses a style of writing which can be easily understood from undergraduates and graduates, but, at the same time, there are chapters which contain several technical notions, ideal for PhD students and experts of acoustics."
(Current Engineering Practice, 1 November 2010)
"In a nutshell, a very worthy contribution to the field, Bilbao's Numerical Sound Synthesis does a remarkably good job of synthesizing key ideas in a in a lively manner, exploring complex issues in a consistent manner, without simplification, thereby offering an invaluable companion to those who have just entered the field and to experts in coming to grips with the issues involved in numerical sound synthesis."
(Computing Reviews, October 2010)
"I highly recommend this book as an introduction to the field of physical modeling for sound synthesis, which is becoming more and more popular with the tremendous increase in affordable computer power, through multicore desktops and laptops and supercomputer-like graphics processing unit (GPU) engines."
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Elektrotechnik u. Elektronik, Electrical & Electronics Engineering, Signalverarbeitung, Signal Processing, Numerische Methoden u. Algorithmen, Numerical Methods & Algorithms, Elektronische Tonerzeugung