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'':

1. MATHEMATICS OF THE DISCRETE FOURIER TRANSFORM
   All about the DFT formula and its constituents, with frequent references to audio applications.

2. INTRODUCTION TO DIGITAL FILTERS
   A gentle introduction to the analysis and implementation of digital filters, with particular emphasis on audio applications.

3. PHYSICAL AUDIO SIGNAL PROCESSING
   Efficient computational physical models for delay effects and virtual acoustic musical instruments.

4. 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: Schematic of interdependencies in the music signal processing book series, along with some closely related topics.

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.