Mathematics of the Discrete Fourier Transform (DFT): with Audio Applications
by Julius O. Smith III
Publisher: W3K Publishing 2007
Number of pages: 322
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.
Home page url
Download or read it online for free here:
by 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.
by B.D.O. Anderson, J.B. Moore - Prentice-Hall
This graduate-level text augments and extends studies of signal processing, particularly in regard to communication systems and digital filtering theory. Topics include filtering, linear systems, and estimation; the discrete-time Kalman filter; etc.
by 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.
by H. V. Poor, G. W. Wornell - Prentice-Hall, Inc.
A valuable reference both for signal processing specialists seeking to apply their expertise in the rapidly growing wireless communications field, and for communications specialists eager to exploit signal processing techniques.