Numerical Sound Synthesis (Hardcover)

Digital sound synthesis has long been approached using standard digital filtering techniques. Newer synthesis strategies, however, make use of physical descriptions of musical instruments, and allow for much more realistic and complex sound production and thereby synthesis becomes a problem of simulation.

This book has a special focus on time domain finite difference methods presented within an audio framework. It covers time series and difference operators, and basic tools for the construction and analysis of finite difference schemes, including frequency-domain and energy-based methods, with special attention paid to problems inherent to sound synthesis. Various basic lumped systems and excitation mechanisms are covered, followed by a look at the 1D wave equation, linear bar and string vibration, acoustic tube modelling, and linear membrane and plate vibration. Various advanced topics, such as the nonlinear vibration of strings and plates, are given an elaborate treatment.

Key features:

• Includes a historical overview of digital sound synthesis techniques, highlighting the links between the various physical modelling methodologies.
• A pedagogical presentation containing over 150 problems and programming exercises, and numerous figures and diagrams, and code fragments in the MATLAB® programming language helps the reader with limited experience of numerical methods reach an understanding of this subject.
• Offers a complete treatment of all of the major families of musical instruments, including certain audio effects.

Numerical Sound Synthesis is suitable for audio and software engineers, and researchers in digital audio, sound synthesis and more general musical acoustics. Graduate students in electrical engineering, mechanical engineering or computer science, working on the more technical side of digital audio and sound synthesis, will also find this book of interest.

數位音效合成長期以來一直使用標準的數位濾波技術進行研究。然而，較新的合成策略利用樂器的物理描述，使得音效的產生更加逼真和複雜，因此合成變成了一個模擬問題。

本書特別關注於在音頻框架中介紹時間域有限差分方法。它涵蓋了時間序列和差分運算符，以及構建和分析有限差分方案的基本工具，包括頻域和基於能量的方法，並特別關注於音效合成中固有的問題。書中涵蓋了各種基本的集中系統和激發機制，接著介紹了一維波動方程、線性條和弦振動、聲管建模，以及線性膜和板振動。書中還詳細介紹了一些高級主題，如弦和板的非線性振動。

主要特點：
- 包括數位音效合成技術的歷史概述，突出了各種物理建模方法之間的聯繫。
- 提供了超過150個問題和編程練習，以及眾多圖片、圖表和MATLAB®編程語言的程式碼片段，幫助讀者理解數值方法這一主題，即使他們對此領域的經驗有限。
- 完整介紹了所有主要類型的樂器，包括某些音頻效果。

《數值音效合成》適合音頻和軟體工程師，以及數位音頻、音效合成和更一般的音樂聲學領域的研究人員。從事數位音頻和音效合成技術的更技術性方面的電機工程、機械工程或計算機科學的研究生也會對本書感興趣。