Mathematics of the Discrete Fourier Transform (DFT): with Audio Applications
by Julius O. Smith III
Publisher: W3K Publishing 2007
ISBN/ASIN: 097456074X
ISBN-13: 9780974560748
Number of pages: 322
Description:
Detailed derivation of the Discrete Fourier Transform (DFT) and its associated mathematics, including elementary audio signal processing applications and matlab programming examples. This book started out as a series of readers for my introductory course in digital audio signal processing that I have given at the Center for Computer Research in Music and Acoustics (CCRMA) since 1984. The course was created primarily for entering Music Ph.D. students in the Computer Based Music Theory program at CCRMA. As a result, the only prerequisite is a good high-school math background, including some calculus exposure.
Download or read it online for free here:
Read online
(online html)
Similar books
Physical Audio Signal Processingby Julius O. Smith III - DSPRelated.com
This book was developed for a course entitled 'Signal Processing Methods in Musical Acoustics'. The text was created primarily as a research preparation and dissemination vehicle intended for graduate students in computer music and engineering.
(19395 views)
Bayesian Spectrum Analysis and Parameter Estimationby G. Larry Bretthorst - Springer
This work is a research document on the application of probability theory to the parameter estimation problem. The people who will be interested in this material are physicists, economists, and engineers who have to deal with data on a daily basis.
(19584 views)
Modern Signal Processingby Daniel N. Rockmore, Jr, Dennis M. Healy - Cambridge University Press
The book about the mathematical basis of signal processing and its many areas of application for graduate students. The text emphasizes current challenges, new techniques adapted to new technologies, and recent advances in algorithms and theory.
(18730 views)
Fast Fourier Transformsby C. Sidney Burrus, at al. - Connexions
This book uses an index map, a polynomial decomposition, an operator factorization, and a conversion to a filter to develop a very general description of fast algorithms to calculate the discrete Fourier transform. Computer programs are provided.
(15442 views)