Overview
- Authors:
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Richard Tolimieri
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Department of Electrical Engineering, City College of CUNY, New York, USA
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Myoung An
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A.J. Devaney Associates, Allston, USA
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Chao Lu
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Department of Computer and Information Sciences, Towson State University, Towson, USA
- Editors:
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C. S. Burrus
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Department of Electrical and Computer Engineering, Rice University, Houston, USA
- Appeals not only to applied mathematicians and computer scientists, but also to seismologists, high-energy physicists, crystallographers, and electrical engineers - Uses a unifying approach to explore both one-dimensional and multidimensional Fourier transforms
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Table of contents (11 chapters)
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- Richard Tolimieri, Myoung An, Chao Lu
Pages 1-23
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- Richard Tolimieri, Myoung An, Chao Lu
Pages 25-36
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- Richard Tolimieri, Myoung An, Chao Lu
Pages 37-50
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- Richard Tolimieri, Myoung An, Chao Lu
Pages 51-61
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- Richard Tolimieri, Myoung An, Chao Lu
Pages 63-69
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- Richard Tolimieri, Myoung An, Chao Lu
Pages 71-89
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- Richard Tolimieri, Myoung An, Chao Lu
Pages 91-104
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- Richard Tolimieri, Myoung An, Chao Lu
Pages 105-124
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- Richard Tolimieri, Myoung An, Chao Lu
Pages 125-140
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- Richard Tolimieri, Myoung An, Chao Lu
Pages 141-160
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- Richard Tolimieri, Myoung An, Chao Lu
Pages 161-183
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Back Matter
Pages 185-187
About this book
Fourier transforms of large multidimensional data sets arise in many fields --ranging from seismology to medical imaging. The rapidly increasing power of computer chips, the increased availability of vector and array processors, and the increasing size of the data sets to be analyzed make it both possible and necessary to analyze the data more than one dimension at a time. The increased freedom provided by multidimensional processing, however, also places intesive demands on the communication aspects of the computation, making it difficult to write code that takes all the algorithmic possiblities into account and matches these to the target architecture. This book develops algorithms for multi-dimensional Fourier transforms that yield highly efficient code on a variety of vector and parallel computers. By emphasizing the unified basis for the many approaches to one-dimensional and multidimensional Fourier transforms, this book not only clarifies the fundamental similarities, but also shows how to exploit the differences in optimizing implementations. This book will be of 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. Topics covered include: tensor products and the fast Fourier transform; finite Abelian groups and their Fourier transforms; Cooley- Tukey and Good-Thomas algorithms; lines and planes; reduced transform algorithms; field algorithms; implementation on Risc and parallel
Authors, Editors and Affiliations
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Department of Electrical and Computer Engineering, Rice University, Houston, USA
C. S. Burrus
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Department of Electrical Engineering, City College of CUNY, New York, USA
Richard Tolimieri
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A.J. Devaney Associates, Allston, USA
Myoung An
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Department of Computer and Information Sciences, Towson State University, Towson, USA
Chao Lu