Computational Frameworks For The Fast Fourier Transform
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Computational Frameworks for the Fast Fourier Transform
The author captures the interplay between mathematics and the design of effective numerical algorithms.
Fast Fourier Transforms
This book uses an index map, a polynomial decomposition, an operator factorization, and a conversion to a filter to develop a very general and efficient description of fast algorithms to calculate the discrete Fourier transform (DFT). The work of Winograd is outlined, chapters by Selesnick, Pueschel, and Johnson are included, and computer programs are provided.
Fast Fourier Transform - Algorithms and Applications
Author: K.R. Rao
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-02-21
This book presents an introduction to the principles of the fast Fourier transform. This book covers FFTs, frequency domain filtering, and applications to video and audio signal processing. As fields like communications, speech and image processing, and related areas are rapidly developing, the FFT as one of essential parts in digital signal processing has been widely used. Thus there is a pressing need from instructors and students for a book dealing with the latest FFT topics. This book provides thorough and detailed explanation of important or up-to-date FFTs. It also has adopted modern approaches like MATLAB examples and projects for better understanding of diverse FFTs.