Computational Frameworks for the Fast Fourier Transform

Computational Frameworks for the Fast Fourier Transform PDF Author: Charles Van Loan
Publisher: SIAM
ISBN: 0898712858
Category : Mathematics
Languages : en
Pages : 285

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Book Description
The author captures the interplay between mathematics and the design of effective numerical algorithms.

Computational Frameworks for the Fast Fourier Transform

Computational Frameworks for the Fast Fourier Transform PDF Author: Charles Van Loan
Publisher: SIAM
ISBN: 0898712858
Category : Mathematics
Languages : en
Pages : 285

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Book Description
The author captures the interplay between mathematics and the design of effective numerical algorithms.

Fast Fourier Transforms

Fast Fourier Transforms PDF Author: C. Sidney Burrus
Publisher: Lulu.com
ISBN: 1300461640
Category : Technology & Engineering
Languages : en
Pages : 256

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Book Description
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 for Parallel Computers

Fast Fourier Transform Algorithms for Parallel Computers PDF Author: Daisuke Takahashi
Publisher: Springer Nature
ISBN: 9811399654
Category : Computers
Languages : en
Pages : 120

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Book Description
Following an introduction to the basis of the fast Fourier transform (FFT), this book focuses on the implementation details on FFT for parallel computers. FFT is an efficient implementation of the discrete Fourier transform (DFT), and is widely used for many applications in engineering, science, and mathematics. Presenting many algorithms in pseudo-code and a complexity analysis, this book offers a valuable reference guide for graduate students, engineers, and scientists in the field who wish to apply FFT to large-scale problems. Parallel computation is becoming indispensable in solving the large-scale problems increasingly arising in a wide range of applications. The performance of parallel supercomputers is steadily improving, and it is expected that a massively parallel system with hundreds of thousands of compute nodes equipped with multi-core processors and accelerators will be available in the near future. Accordingly, the book also provides up-to-date computational techniques relevant to the FFT in state-of-the-art parallel computers. Following the introductory chapter, Chapter 2 introduces readers to the DFT and the basic idea of the FFT. Chapter 3 explains mixed-radix FFT algorithms, while Chapter 4 describes split-radix FFT algorithms. Chapter 5 explains multi-dimensional FFT algorithms, Chapter 6 presents high-performance FFT algorithms, and Chapter 7 addresses parallel FFT algorithms for shared-memory parallel computers. In closing, Chapter 8 describes parallel FFT algorithms for distributed-memory parallel computers.

Parallel Scientific Computation

Parallel Scientific Computation PDF Author: Rob H. Bisseling
Publisher:
ISBN: 0198788347
Category : Computers
Languages : en
Pages : 410

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Book Description
Parallel Scientific Computation presents a methodology for designing parallel algorithms and writing parallel computer programs for modern computer architectures with multiple processors.

The DFT

The DFT PDF Author: William L. Briggs
Publisher: SIAM
ISBN: 0898713420
Category : Mathematics
Languages : en
Pages : 446

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Book Description
This book explores both the practical and theoretical aspects of the Discrete Fourier Transform, one of the most widely used tools in science, engineering, and computational mathematics. Designed to be accessible to an audience with diverse interests and mathematical backgrounds, the book is written in an informal style and is supported by many examples, figures, and problems. Conceived as an "owner's" manual, this comprehensive book covers such topics as the history of the DFT, derivations and properties of the DFT, comprehensive error analysis, issues concerning the implementation of the DFT in one and several dimensions, symmetric DFTs, a sample of DFT applications, and an overview of the FFT.

Mathematics of Multidimensional Fourier Transform Algorithms

Mathematics of Multidimensional Fourier Transform Algorithms PDF Author: Richard Tolimieri
Publisher: Springer Science & Business Media
ISBN: 1461219485
Category : Technology & Engineering
Languages : en
Pages : 193

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Book Description
Developing algorithms for multi-dimensional Fourier transforms, this book presents results that yield highly efficient code on a variety of vector and parallel computers. By emphasising the unified basis for the many approaches to both one-dimensional and multidimensional Fourier transforms, this book not only clarifies the fundamental similarities, but also shows how to exploit the differences in optimising implementations. It will thus be of great interest not only to applied mathematicians and computer scientists, but also to seismologists, high-energy physicists, crystallographers, and electrical engineers working on signal and image processing.

High Performance Computing and Communications

High Performance Computing and Communications PDF Author: Ronald Perrott
Publisher: Springer
ISBN: 354075444X
Category : Computers
Languages : en
Pages : 841

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Book Description
This book constitutes the refereed proceedings of the Third International Conference on High Performance Computing and Communications, HPCC 2007. The 75 revised full papers address all current issues of parallel and distributed systems and high performance computing and communication, including networking protocols, embedded systems, wireless, mobile and pervasive computing, Web services and internet computing, and programming interfaces for parallel systems.

Fast Fourier Transform - Algorithms and Applications

Fast Fourier Transform - Algorithms and Applications PDF Author: K.R. Rao
Publisher: Springer Science & Business Media
ISBN: 1402066295
Category : Mathematics
Languages : en
Pages : 437

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Book Description
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.

Computational Science - ICCS 2003. Part 4.

Computational Science - ICCS 2003. Part 4. PDF Author: Peter Sloot
Publisher: Springer Science & Business Media
ISBN: 3540401970
Category : Computers
Languages : en
Pages : 1188

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Book Description
The four-volume set LNCS 2657, LNCS 2658, LNCS 2659, and LNCS 2660 constitutes the refereed proceedings of the Third International Conference on Computational Science, ICCS 2003, held concurrently in Melbourne, Australia and in St. Petersburg, Russia in June 2003. The four volumes present more than 460 reviewed contributed and invited papers and span the whole range of computational science, from foundational issues in computer science and algorithmic mathematics to advanced applications in virtually all application fields making use of computational techniques. These proceedings give a unique account of recent results in the field.

The Fast Fourier Transform

The Fast Fourier Transform PDF Author: E. Oran Brigham
Publisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 272

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Book Description
The fourier transform; Fourier transform properties; Convolution and correlation; Fourier series and sampled waveforms; The discrete fourier transform; Discrete convolutiion and correlation; Applying the discrete fourier transform.