Fast Fourier Transforms Second Edition
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Author | : James S. Walker |
Publisher | : CRC Press |
Total Pages | : 468 |
Release | : 2017-11-22 |
Genre | : Mathematics |
ISBN | : 1351448870 |
Download Fast Fourier Transforms Book in PDF, Epub and Kindle
This new edition of an indispensable text provides a clear treatment of Fourier Series, Fourier Transforms, and FFTs. The unique software, included with the book and newly updated for this edition, allows the reader to generate, firsthand, images of all aspects of Fourier analysis described in the text. Topics covered include :
Author | : E. Oran Brigham |
Publisher | : Pearson |
Total Pages | : 474 |
Release | : 1988 |
Genre | : Mathematics |
ISBN | : |
Download The Fast Fourier Transform and Its Applications Book in PDF, Epub and Kindle
The Fast Fourier Transform (FFT) is a mathematical method widely used in signal processing. This book focuses on the application of the FFT in a variety of areas: Biomedical engineering, mechanical analysis, analysis of stock market data, geophysical analysis, and the conventional radar communications field.
Author | : H.J. Nussbaumer |
Publisher | : Springer Science & Business Media |
Total Pages | : 260 |
Release | : 2013-03-08 |
Genre | : Mathematics |
ISBN | : 3662005514 |
Download Fast Fourier Transform and Convolution Algorithms Book in PDF, Epub and Kindle
This book presents in a unified way the various fast algorithms that are used for the implementation of digital filters and the evaluation of discrete Fourier transforms. The book consists of eight chapters. The first two chapters are devoted to background information and to introductory material on number theory and polynomial algebra. This section is limited to the basic concepts as they apply to other parts of the book. Thus, we have restricted our discussion of number theory to congruences, primitive roots, quadratic residues, and to the properties of Mersenne and Fermat numbers. The section on polynomial algebra deals primarily with the divisibility and congruence properties of polynomials and with algebraic computational complexity. The rest of the book is focused directly on fast digital filtering and discrete Fourier transform algorithms. We have attempted to present these techniques in a unified way by using polynomial algebra as extensively as possible. This objective has led us to reformulate many of the algorithms which are discussed in the book. It has been our experience that such a presentation serves to clarify the relationship between the algorithms and often provides clues to improved computation techniques. Chapter 3 reviews the fast digital filtering algorithms, with emphasis on algebraic methods and on the evaluation of one-dimensional circular convolutions. Chapters 4 and 5 present the fast Fourier transform and the Winograd Fourier transform algorithm.
Author | : Charles Van Loan |
Publisher | : SIAM |
Total Pages | : 285 |
Release | : 1992-01-01 |
Genre | : Mathematics |
ISBN | : 0898712858 |
Download Computational Frameworks for the Fast Fourier Transform Book in PDF, Epub and Kindle
The author captures the interplay between mathematics and the design of effective numerical algorithms.
Author | : K.R. Rao |
Publisher | : Springer Science & Business Media |
Total Pages | : 437 |
Release | : 2011-02-21 |
Genre | : Mathematics |
ISBN | : 1402066295 |
Download Fast Fourier Transform - Algorithms and Applications Book in PDF, Epub and Kindle
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.
Author | : Julius O. Smith |
Publisher | : Julius Smith |
Total Pages | : 323 |
Release | : 2008 |
Genre | : Fourier transformations |
ISBN | : 097456074X |
Download Mathematics of the Discrete Fourier Transform (DFT) Book in PDF, Epub and Kindle
"The DFT can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, and that is the focus of this book. The DFT is normally encountered as the Fast Fourier Transform (FFT)--a high-speed algorithm for computing the DFT. The FFT is used extensively in a wide range of digital signal processing applications, including spectrum analysis, high-speed convolution (linear filtering), filter banks, signal detection and estimation, system identification, audio compression (such as MPEG-II AAC), spectral modeling sound synthesis, and many others. In this book, certain topics in digital audio signal processing are introduced as example applications of the DFT"--Back cover
Author | : David Brandwood |
Publisher | : Artech House |
Total Pages | : 280 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 1608071979 |
Download Fourier Transforms in Radar and Signal Processing, Second Edition Book in PDF, Epub and Kindle
Fourier transforms are used widely, and are of particular value in the analysis of single functions and combinations of functions found in radar and signal processing. Still, many problems that could have been tackled by using Fourier transforms may have gone unsolved because they require integration that is difficult and tedious. This newly revised and expanded edition of a classic Artech House book provides you with an up-to-date, coordinated system for performing Fourier transforms on a wide variety of functions. Along numerous updates throughout the book, the Second Edition includes a critical new chapter on periodic waveforms a topic not covered in any other book and detailed coverage of asymmetric triangular pulse. By building upon Woodward's well known "Rules and Pairs" method and related concepts and procedures, this book establishes a unified system that makes implicit the integration required for performing Fourier transforms on a wide variety of functions. It details how complex functions can be broken down to their constituent parts for analysis. You can now concentrate on functional relationships instead of getting bogged down in the details of integration. This approach to implementing Fourier transforms is illustrated with many specific examples from digital signal processing as well as radar and antenna operation. DVD-ROM Included! Contains MATLAB programs that implement many of the results presented in the book.
Author | : Ronald Newbold Bracewell |
Publisher | : |
Total Pages | : |
Release | : 1978 |
Genre | : Fourier transformations |
ISBN | : |
Download The Fourier Transform and Its Applications Book in PDF, Epub and Kindle
Author | : C. Sidney Burrus |
Publisher | : Lulu.com |
Total Pages | : 256 |
Release | : 2012-11-30 |
Genre | : Technology & Engineering |
ISBN | : 1300461640 |
Download Fast Fourier Transforms Book in PDF, Epub and Kindle
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.
Author | : Peter R. Griffiths |
Publisher | : John Wiley & Sons |
Total Pages | : 556 |
Release | : 2007-03-16 |
Genre | : Science |
ISBN | : 0470106298 |
Download Fourier Transform Infrared Spectrometry Book in PDF, Epub and Kindle
A bestselling classic reference, now expanded and updated to cover the latest instrumentation, methods, and applications The Second Edition of Fourier Transform Infrared Spectrometry brings this core reference up to date on the uses of FT-IR spectrometers today. The book starts with an in-depth description of the theory and current instrumentation of FT-IR spectrometry, with full chapters devoted to signal-to-noise ratio and photometric accuracy. Many diverse types of sampling techniques and data processing routines, most of which can be performed on even the less expensive instruments, are then described. Extensively updated, the Second Edition: * Discusses improvements in optical components * Features a full chapter on FT Raman Spectrometry * Contains new chapters that focus on different ways of measuring spectra by FT-IR spectrometry, including fourteen chapters on such techniques as microspectroscopy, internal and external reflection, and emission and photoacoustic spectrometry * Includes a new chapter introducing the theory of vibrational spectrometry * Organizes material according to sampling techniques Designed to help practitioners using FT-IR capitalize on the plethora of techniques for modern FT-IR spectrometry and plan their experimental procedures correctly, this is a practical, hands-on reference for chemists and analysts. It's also a great resource for students who need to understand the theory, instrumentation, and applications of FT-IR.