This book is the second in my music signal processing
after . 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
All about ``small'' (mostly first and second order) digital filters used in
audio applications, and the elementary concepts of linear systems theory.
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 the Fast
Fourier Transform (FFT).
Figure 1 illustrates the dependencies. A solid line
indicates a strong dependence, while a dotted line indicates a much
weaker (optional) dependence.
interdependencies in the music signal processing book series, along
with some closely related topics.
The books were originally designed for a two-year course sequence in
signal processing applied to music and audio (semester system
The student is expected to pick up elementary physics
 and programming skills
[82,15] elsewhere. In all books, the main
chapters contain approximately what is covered in class, while the
appendices provide both elementary background material and additional