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The Implementation Of The Singleton Mixed Radix Fast Fourier Transform Algorithm In The C Computer Language
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Book Synopsis The Implementation of the Singleton Mixed-radix Fast Fourier Transform Algorithm in the C Computer Language by : Theodore William Pope
Download or read book The Implementation of the Singleton Mixed-radix Fast Fourier Transform Algorithm in the C Computer Language written by Theodore William Pope and published by . This book was released on 1994 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Masters Theses in the Pure and Applied Sciences by : Wade H. Shafer
Download or read book Masters Theses in the Pure and Applied Sciences written by Wade H. Shafer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Masters Theses in the Pure and Applied Sciences was first conceived, published, and disseminated by the Center for Information and Numerical Data Analysis and Synthesis (CINDAS)* at Purdue University in 1957, starting its coverage of theses with the academic year 1955. Beginning with Volume 13, the printing and dis semination phases of the activity were transferred to University Microfilms/Xerox of Ann Arbor, Michigan, with the thought that such an arrangement would be more beneficial to the academic and general scientific and technical community. After five years of this joint undertaking we had concluded that it was in the interest of all concerned if the printing and distribution of the volumes were handled by an international publishing house to assure improved service and broader dissemination. Hence, starting with Volume 18, Masters Theses in the Pure and Applied Sciences has been disseminated on a worldwide basis by Plenum Publishing Corporation of New York, and in the same year the coverage was broadened to include Canadian universities. All back issues can also be ordered from Plenum. We have reported in Volume 39 (thesis year 1994) a total of 13,953 thesis titles from 21 Canadian and 159 United States universities. We are sure that this broader base for these titles reported will greatly enhance the value of this impor tant annual reference work. While Volume 39 reports theses submitted in 1994, on occasion, certain uni versities do report theses submitted in previous years but not reported at the time.
Book Synopsis High Performance Computing and Communications by : Ronald Perrott
Download or read book High Performance Computing and Communications written by Ronald Perrott and published by Springer. This book was released on 2007-09-08 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computational Frameworks for the Fast Fourier Transform by : Charles Van Loan
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.
Book Synopsis Fast Fourier Transforms by : C. Sidney Burrus
Download or read book Fast Fourier Transforms written by C. Sidney Burrus and published by Lulu.com. This book was released on 2012-11-30 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Fast Fourier Transform Algorithm as Implemented on the CDC 1700 Computer by : Albert Lewis Hendricks
Download or read book A Fast Fourier Transform Algorithm as Implemented on the CDC 1700 Computer written by Albert Lewis Hendricks and published by . This book was released on 1972 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several useful fast Fourier transform programs are available to the interested user. The report began as a serarch for one such FFT routine which would be suitable for use on the hybrid computer at the University of Illinois at Urbana. The only constraint imposed upon the method was that it be a radix-2 algorithm. (Author).
Book Synopsis Algorithms for Discrete Fourier Transform and Convolution by : Richard Tolimieri
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.
Book Synopsis The Regularized Fast Hartley Transform by : Keith Jones
Download or read book The Regularized Fast Hartley Transform written by Keith Jones and published by Springer Science & Business Media. This book was released on 2010-03-10 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most real-world spectrum analysis problems involve the computation of the real-data discrete Fourier transform (DFT), a unitary transform that maps elements N of the linear space of real-valued N-tuples, R , to elements of its complex-valued N counterpart, C , and when carried out in hardware it is conventionally achieved via a real-from-complex strategy using a complex-data version of the fast Fourier transform (FFT), the generic name given to the class of fast algorithms used for the ef?cient computation of the DFT. Such algorithms are typically derived by explo- ing the property of symmetry, whether it exists just in the transform kernel or, in certain circumstances, in the input data and/or output data as well. In order to make effective use of a complex-data FFT, however, via the chosen real-from-complex N strategy, the input data to the DFT must ?rst be converted from elements of R to N elements of C . The reason for choosing the computational domain of real-data problems such N N as this to be C , rather than R , is due in part to the fact that computing equ- ment manufacturers have invested so heavily in producing digital signal processing (DSP) devices built around the design of the complex-data fast multiplier and accumulator (MAC), an arithmetic unit ideally suited to the implementation of the complex-data radix-2 butter?y, the computational unit used by the familiar class of recursive radix-2 FFT algorithms.
Book Synopsis Fast Fourier Transform Algorithms for Parallel Computers by : Daisuke Takahashi
Download or read book Fast Fourier Transform Algorithms for Parallel Computers written by Daisuke Takahashi and published by . This book was released on 2019 with total page 114 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.
Book Synopsis Efficient Computer Implementations of Fast Fourier Transforms by : John David Blanken
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.
Download or read book Proceedings written by ICASSP. and published by . This book was released on 1998 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fast Fourier Transform and Convolution Algorithms by : H.J. Nussbaumer
Download or read book Fast Fourier Transform and Convolution Algorithms written by H.J. Nussbaumer and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Handbook of Real-Time Fast Fourier Transforms by : Winthrop W. Smith
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.
Book Synopsis Mathematics of Multidimensional Fourier Transform Algorithms by : Richard Tolimieri
Download or read book Mathematics of Multidimensional Fourier Transform Algorithms written by Richard Tolimieri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book UKSC 81 written by and published by . This book was released on 1981 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Implementation of the Fast Fourier Transform Algorithm on a Small Digital Computer by : L. Katherine Jones
Download or read book Implementation of the Fast Fourier Transform Algorithm on a Small Digital Computer written by L. Katherine Jones and published by . This book was released on with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Analysis of DeBoor's Algorithm for Computing the Mixed Radix FFT by : David Allen Eubanks
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:
