Book Series Overview
This book is the fourth in my music signal processing series, after [264], [263], and [266]. The books can be loosely summarized by the following ``design goals'':
- MATHEMATICS OF THE DISCRETE FOURIER TRANSFORM
All about the DFT formula and its constituents, with frequent references to audio applications. - INTRODUCTION TO DIGITAL
FILTERS
A gentle introduction to the analysis and implementation of digital filters, with particular emphasis on audio applications. - PHYSICAL AUDIO SIGNAL PROCESSING
Efficient computational physical models for delay effects and virtual acoustic musical instruments. - SPECTRAL AUDIO SIGNAL PROCESSING
Analysis, processing, and synthesis of audio signals in terms of spectral representations computed using a Fast Fourier Transform (FFT).
Figure 1 illustrates the dependencies. A solid line indicates a strong dependence, while a dotted line indicates a weaker (optional) dependence. The student is expected to pick up elementary physics [100] and programming skills [260,45] elsewhere. In all books, the main chapters contain approximately what is covered in class, while the appendices provide both elementary background material and additional advanced topics.
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