This textbook is a thorough, accessible introduction to digital
Fourier analysis for undergraduate students in the sciences.
Beginning with the principles of sine/cosine decomposition, the
reader walks through the principles of discrete Fourier analysis
before reaching the cornerstone of signal processing: the Fast
Fourier Transform.
Saturated with clear, coherent illustrations, "Digital Fourier
Analysis" includes practice problems and thorough Appendices for
the advanced reader. As a special feature, the book includes
interactive applets (available online) that mirror the
illustrations. These user-friendly applets animate concepts
interactively, allowing the user to experiment with the underlying
mathematics.
For example, a real sine signal can be treated as a sum of
clockwise and counter-clockwise rotating vectors. The applet
illustration included with the book animates the rotating vectors
and the resulting sine signal. By changing parameters such as
amplitude and frequency, the reader can test various cases and view
the results until they fully understand the principle.
Additionally, the applet source code in Visual Basic is provided
online, allowing this book to be used for teaching simple
programming techniques.
A complete, intuitive guide to the basics, "Digital Fourier
Analysis - Fundamentals" is an essential reference for
undergraduate students in science and engineering.
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