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Mathematics of the Discrete Fourier Transform (DFT): with Audio Applications ---- Second Edition

Julius O. Smith III 2007

Detailed derivation of the Discrete Fourier Transform (DFT) and its associated mathematics, including elementary audio signal processing applications and matlab programming examples.


Transforms and Fast Algorithms for Signal Analysis and Representations

Guoan Bi 2003

This book is a comprehensive presentation of recent results and developments on several widely used transforms and their fast algorithms. In many cases, new options are provided for improved or new fast algorithms, some of which are not well known in the digital signal processing community. The book is suitable as a textbook for senior undergraduate and graduate courses in digital signal processing. It may also serve as an excellent self-study reference for electrical engineers and applied...


Understanding FFT Applications, Second Edition

Anders E. Zonst 2003

This companion volume to Andy Zonst's Understanding the FFT is written in five parts, covering a range of topics from transient circuit analysis to two dimensional transforms. It's an introducton to some of the many applicatons of the FFT, and it's intended for anyone who wants to understand and explore this technology.

The presentation is unique in that it avoids the calculus almost (but not quite) completely. It's a practical "how-to" book, but it also provides down to earth...


The Discrete Fourier Transform: Theory, Algorithms and Applications

Duraisamy Sundararajan 2001

This book provides comprehensive coverage of practical Fourier analysis. It develops the concepts right from the basics and gradually guides the reader to the advanced topics. It presents the latest and practically efficient DFT algorithms, as well as the computation of discrete cosine and Walsh-Hadamard transforms. The large numbers of visual aids such as figures, flow graphs and flow charts makes the mathematical topic easy to understand. In addition, the numerous examples and the set of...


Understanding the FFT, Second Edition, Revised

Anders E. Zonst 2000

Citrus Press is proud to announce the second edition (revised) of Andy Zonst's Understanding the FFT (publication date April 2000). This edition is much more than just a "cleanup" of the original text - two completely new chapters have been added. The first of these deals with the conventional FFT (i.e., scrambled data and bit reversal) and the second is an introduction to the mathematical procedure known as convolution. The conventional FFT offers certain advantages (primarily more...