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Author : David Allen Eubanks
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.:/5 (248 download)
Download or read book An Analysis of DeBoor's Algorithm for Computing the Mixed Radix FFT written by David Allen Eubanks and published by . This book was released on 1986 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daisuke Takahashi
Publisher : Springer Nature
ISBN 13 : 9811399654
Total Pages : 120 pages
Book Rating : 4.8/5 (113 download)
Download or read book Fast Fourier Transform Algorithms for Parallel Computers written by Daisuke Takahashi and published by Springer Nature. This book was released on 2019-10-05 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Eleanor Chu
Publisher : CRC Press
ISBN 13 : 9781420049961
Total Pages : 346 pages
Book Rating : 4.0/5 (499 download)
Download or read book Inside the FFT Black Box written by Eleanor Chu and published by CRC Press. This book was released on 1999-11-11 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are some areas of fast Fourier transforms still unclear to you? Do the notation and vocabulary seem inconsistent? Does your knowledge of their algorithmic aspects feel incomplete? The fast Fourier transform represents one of the most important advancements in scientific and engineering computing. Until now, however, treatments have been either brief, cryptic, intimidating, or not published in the open literature. Inside the FFT Black Box brings the numerous and varied ideas together in a common notational framework, clarifying vague FFT concepts. Examples and diagrams explain algorithms completely, with consistent notation. This approach connects the algorithms explicitly to the underlying mathematics. Reviews and explanations of FFT ideas taken from engineering, mathematics, and computer science journals teach the computational techniques relevant to FFT. Two appendices familiarize readers with the design and analysis of computer algorithms, as well. This volume employs a unified and systematic approach to FFT. It closes the gap between brief textbook introductions and intimidating treatments in the FFT literature. Inside the FFT Black Box provides an up-to-date, self-contained guide for learning the FFT and the multitude of ideas and computing techniques it employs.
Author : Richard Tolimieri
Publisher : Springer Science & Business Media
ISBN 13 : 1475727674
Total Pages : 273 pages
Book Rating : 4.4/5 (757 download)
Download or read book Algorithms for Discrete Fourier Transform and Convolution written by Richard Tolimieri and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text provides a language for understanding, unifying, and implementing a wide variety of algorithms for digital signal processing - in particular, to provide rules and procedures that can simplify or even automate the task of writing code for the newest parallel and vector machines. It thus bridges the gap between digital signal processing algorithms and their implementation on a variety of computing platforms. The mathematical concept of tensor product is a recurring theme throughout the book, since these formulations highlight the data flow, which is especially important on supercomputers. Because of their importance in many applications, much of the discussion centres on algorithms related to the finite Fourier transform and to multiplicative FFT algorithms.
Author : Winthrop W. Smith
Publisher : Wiley-IEEE Press
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.3/5 (91 download)
Download or read book Handbook of Real-Time Fast Fourier Transforms written by Winthrop W. Smith and published by Wiley-IEEE Press. This book was released on 1995-05-22 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This useful, logical, unbiased, FFT compendium allows the user to quickly and accurately obtain practical information to implement a solution or simply acquire a general overview without spending months gathering this information elsewhere." —Jay Perry, Executive Vice President, Technology, Catalina Research, Inc. "This is a practical guide for understanding and using FFTs. Win’s (Winthrop Smith, author) years of experience using FFTs to solve real-world problems comes through on page after page. If you’re building an FFT processor, you’ll find this book indispensable." —Tony Agnello, President, Ariel Corp. FFTs are at the heart of ADSL, the new telecom standard (T1.413), which allows phones to transfer digital data 200 times faster and simultaneously transmit speech. Fast Fourier Transforms (FFTs) synthesize, recognize, enhance, compress, modify, or analyze signals in products such as Doppler weather radar, CT and MRI scans, AWACS radar, and satellite imaging radar. In this book, you will get the foundation and facts you need to implement FFT algorithms for many diverse applications. Key features you will put to immediate use include: Comparison matrices and performance measures for objective selection of weighting functions, algorithm building blocks, algorithms, algorithm mappings, arithmetic formats, and DSP chips Extensive algorithm examples with instructions for memory mapping and conversion to code An unbiased listing of the FFT features of 51 fixed-point DSP chips, including ASIC and multiprocessor chips, 13 floating-point DSP chips, and six dedicated FFT chips Test signals with instructions and examples on how to detect and isolate errors during: FFT algorithm/code development and debugging, and end-product operation Design examples for products that use frequency analysis, power spectrum estimation, linear filtering, and two-dimensional processing Questions and answers for selecting commercial-off-the-shelf DSP boards An all-in-one-source for implementing real-time FFT algorithms of any length, this book will be essential to engineers and other technical innovators who want to stay on the cutting edge of FFT technology.
Author : Charles Van Loan
Publisher : SIAM
ISBN 13 : 0898712858
Total Pages : 285 pages
Book Rating : 4.8/5 (987 download)
Download or read book Computational Frameworks for the Fast Fourier Transform written by Charles Van Loan and published by SIAM. This book was released on 1992-01-01 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author captures the interplay between mathematics and the design of effective numerical algorithms.
Author : John David Blanken
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (227 download)
Download or read book Efficient Computer Implementations of Fast Fourier Transforms written by John David Blanken and published by . This book was released on 1980 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive comparison of the most efficient Discrete Fourier Transform (DFT) techniques is presented. The DFT algorithms selected are the fixed radix Fast Fourier Transform (FFT), mixed radix FET, the Winograd Fourier Transform Algorithm (WFTA), and the Prime Factor Algorithm (PFA). Comparison of the algorithms is based on the number of real multiplications, additions, and memory arrays required as a function of sequence length N. This paper reviews the literature, selects the most efficient DFT FORTRAN programs available, develops the number of real multiplications and additions as a function of N, and compares the algorithms using tables and plots of real multiplications, additions, and memory arrays. Comparison shows that the WFTA and PFA require the least real multiplications and additions, but the fixed radix and mixed radix FFTs require the least memory. The mixed radix FFT is much more flexible than WFTA or PFA since N can be any length sequence. The WFTA and PFA are closely studied and tradeoffs between the two are discussed. Based on the results of the paper, an algorithm is presented to select the most efficient DFT for an N length sequence given the multiply speed, add speed, and memory size of the computer.
Author : Volodymyr Kindratenko
Publisher : Springer
ISBN 13 : 3319065483
Total Pages : 404 pages
Book Rating : 4.3/5 (19 download)
Download or read book Numerical Computations with GPUs written by Volodymyr Kindratenko and published by Springer. This book was released on 2014-07-03 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together research on numerical methods adapted for Graphics Processing Units (GPUs). It explains recent efforts to adapt classic numerical methods, including solution of linear equations and FFT, for massively parallel GPU architectures. This volume consolidates recent research and adaptations, covering widely used methods that are at the core of many scientific and engineering computations. Each chapter is written by authors working on a specific group of methods; these leading experts provide mathematical background, parallel algorithms and implementation details leading to reusable, adaptable and scalable code fragments. This book also serves as a GPU implementation manual for many numerical algorithms, sharing tips on GPUs that can increase application efficiency. The valuable insights into parallelization strategies for GPUs are supplemented by ready-to-use code fragments. Numerical Computations with GPUs targets professionals and researchers working in high performance computing and GPU programming. Advanced-level students focused on computer science and mathematics will also find this book useful as secondary text book or reference.
Author : G. P. Route
Publisher :
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.:/5 (227 download)
Download or read book Efficient Computer Architectures for Computing Discrete Fourier Transforms written by G. P. Route and published by . This book was released on 1981 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effects of the IBM 370-155, CDC Cyber 750, Cray-1, and PDP 11/60 architectures on executing selected Discrete Fourier Transform (DFT) algorithms are investigated. The selected DFT algorithms are the radic-2 FFT, mixed-radix FFT, Winograd Fourier Transform Algorithm (WFTA), and Prime Factor Algorithm (PFA). The overall execution times on each computer system is determined. For the IBM 370/155 and CDC Cyber 750, the number and type of instructions and the execution time required for each portion of the FFT programs is determined. This study shows that the number of floating-point additions and multiplications required by the FFT programs determine these programs' execution times on the IBM 370/155. This study also investigated the relationship between the number of a processor's general-purpose registers and the number of data transfers required by an FFT program. Results from the IBM 370/155 and Cyber 750 systems showed that the computer system with fewer registers required more data transfers.
Author :
Publisher :
ISBN 13 :
Total Pages : 984 pages
Book Rating : 4.0/5 ( download)
Download or read book Engineering and Scientific Subroutine Library written by and published by . This book was released on 1988 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Engineering and Scientific Subroutine Library (ESSL) is a set of high performance mathematical subroutines that can be used with FORTRAN, assembler language, and APL2 programs operating under an MVS or VM operating system.
Author : N. Burch
Publisher : Springer Science & Business Media
ISBN 13 : 1461344344
Total Pages : 569 pages
Book Rating : 4.4/5 (613 download)
Download or read book Behavior and Brain Electrical Activity written by N. Burch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the faith that the future will offer hard quantitative measures of the human thought process and affect-emotional system. The symposium from which this volume issues was an opportunity for us to invite a number of our friends to help in collecting some of the current contributions to this belief. The participants and topics weave a mosaic of the future. The selection was made in an attempt to project into the future what is most important in the present and in the relatively recent past in terms of generating hard data of the elusive cognitive-affect systems. We regret, because of editorial constraints, that we have not been able to include some of the outstanding contributions offered by our various chairmen. In particular, we are sorry that this volume does not reflect the thoughts of Robert Williams, R.J. Ellingson, William Fields, and especially those of our esteemed grand marshal, W. Grey Walter. This volume deals initially with the electroencephalographic measure ment of sleep profiles as such profiles may be used to measure the stresses of special environments and special patient populations. Of particular interest is the correlation of sleep profiles with basic endocrine functions. We expect the measurement of sleep profiles to become more of a routine clinical examination in the next few years, as our understanding of this fascinating state of consciousness increases in terms of how it is influenced by real life stresses and disease processes.
Author :
Publisher :
ISBN 13 :
Total Pages : 1874 pages
Book Rating : 4.:/5 (31 download)
Download or read book Standard Handbook for Mechanical Engineers written by and published by . This book was released on 1923 with total page 1874 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Timothy Sauer
Publisher :
ISBN 13 : 9781292023588
Total Pages : 608 pages
Book Rating : 4.0/5 (235 download)
Download or read book Numerical Analysis written by Timothy Sauer and published by . This book was released on 2013-07-26 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Analysis, Second Edition, is a modern and readable text for the undergraduate audience. This book covers not only the standard topics but also some more advanced numerical methods being used by computational scientists and engineers-topics such as compression, forward and backward error analysis, and iterative methods of solving equations-all while maintaining a level of discussion appropriate for undergraduates. Each chapter contains a Reality Check, which is an extended exploration of relevant application areas that can launch individual or team projects. MATLAB(r) is used throughout to demonstrate and implement numerical methods. The Second Edition features many noteworthy improvements based on feedback from users, such as new coverage of Cholesky factorization, GMRES methods, and nonlinear PDEs.
Author : Heinz Pitsch
Publisher : Springer Nature
ISBN 13 : 3030447189
Total Pages : 294 pages
Book Rating : 4.0/5 (34 download)
Download or read book Data Analysis for Direct Numerical Simulations of Turbulent Combustion written by Heinz Pitsch and published by Springer Nature. This book was released on 2020-05-28 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents methodologies for analysing large data sets produced by the direct numerical simulation (DNS) of turbulence and combustion. It describes the development of models that can be used to analyse large eddy simulations, and highlights both the most common techniques and newly emerging ones. The chapters, written by internationally respected experts, invite readers to consider DNS of turbulence and combustion from a formal, data-driven standpoint, rather than one led by experience and intuition. This perspective allows readers to recognise the shortcomings of existing models, with the ultimate goal of quantifying and reducing model-based uncertainty. In addition, recent advances in machine learning and statistical inferences offer new insights on the interpretation of DNS data. The book will especially benefit graduate-level students and researchers in mechanical and aerospace engineering, e.g. those with an interest in general fluid mechanics, applied mathematics, and the environmental and atmospheric sciences.
Author : J. Paulo Davim
Publisher : Springer Science & Business Media
ISBN 13 : 1848002130
Total Pages : 368 pages
Book Rating : 4.8/5 (48 download)
Download or read book Machining written by J. Paulo Davim and published by Springer Science & Business Media. This book was released on 2008-07-11 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Machining is one of the most important manufacturing processes. Parts manufactured by other processes often require further operations before the product is ready for application. “Machining: Fundamentals and Recent Advances” is divided into two parts. Part I explains the fundamentals of machining, with special emphasis on three important aspects: mechanics of machining, tools, and work-piece integrity. Part II is dedicated to recent advances in machining, including: machining of hard materials, machining of metal matrix composites, drilling polymeric matrix composites, ecological machining (minimal quantity of lubrication), high-speed machining (sculptured surfaces), grinding technology and new grinding wheels, micro- and nano-machining, non-traditional machining processes, and intelligent machining (computational methods and optimization). Advanced students, researchers and professionals interested or involved in modern manufacturing engineering will find the book a useful reference.
Author : Hiroaki Kitano
Publisher : Springer Science & Business Media
ISBN 13 : 9783540644736
Total Pages : 548 pages
Book Rating : 4.6/5 (447 download)
Download or read book RoboCup-97: Robot Soccer World Cup I written by Hiroaki Kitano and published by Springer Science & Business Media. This book was released on 1998-04-20 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: RoboCup is an international initiative devoted to advancing the state of the art in artificial intelligence and robotics. The ultimate, long range goal is to build a team of robot soccer players that can beat a human World Cup champion team.This is the first book devoted to RoboCup. It opens with an overview section presenting the history of this young initiative, motivation, the overall perspectives and challenges, and a survey of the state of the art in the area. The technical paper section presents the state of the art of the interdisciplinary research and development efforts in details, essentially building on the progress achieved during the RoboCup-97 Workshop. The team description contributions discuss technical and strategic aspects of the work of the participating teams.
Author : Roman Wyrzykowski
Publisher : Springer
ISBN 13 : 3642143903
Total Pages : 652 pages
Book Rating : 4.6/5 (421 download)
Download or read book Parallel Processing and Applied Mathematics, Part I written by Roman Wyrzykowski and published by Springer. This book was released on 2010-07-07 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This book constitutes the proceedings of the 8th International Conference on Parallel Processing and Applied Mathematics, PPAM 2009, held in Wroclaw, Poland, in September 2009.
