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Inside the FFT black box : serial and parallel fast Fourier transform algorithms

Author: Eleanor Chin-hwa Chu; Alan George
Publisher: Boca Raton, Fla. : CRC Press, ©2000.
Series: Computational mathematics series.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

The fast Fourier transform represents one of the important advancements in scientific and engineering computing. This title brings the numerous and varied ideas together in a common notational  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Chu, Eleanor Chin-hwa, 1950-
Inside the FFT black box.
Boca Raton, Fla. : CRC Press, ©2000
(OCoLC)42435050
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Eleanor Chin-hwa Chu; Alan George
ISBN: 0849302706 9780849302701 9781420049961 1420049968
OCLC Number: 51949140
Notes: Title from the resource itself.
Description: 1 online resource (312 pages) : illustrations.
Contents: PRELIMINARIESAn Elementary Introduction to the Discrete Fourier TransformSome Mathematical and Computational PreliminariesSEQUENTIAL FFT ALGORITHMSThe Divide-and-Conquer Paradigm and Two Basic FFT AlgorithmsDeciphering the Scrambled Output from In-Place FFT ComputationBit-Reversed Input to the Radix-2 DIF FFTPerforming Bit-Reversal by Repeated Permutation of Intermediate ResultsAn In-Place Radix-2 DIT FFT for Input in Natural OrderAn In-Place Radix-2 DIT FFT for Input in Bit-Reversed OrderAn Ordered Radix-2 DIT FFTOrdering Algorithms and Computer Implementation of Radix-2 FFTsThe Radix-4 and the Class of Radix-2s FFTsThe Mixed-Radix and Split-Radix FFTsFFTs for Arbitrary NFFTs for Real InputFFTs for Composite NSelected FFT ApplicationsPARALLEL FFT ALGORITHMSParallelizing the FFTs: Preliminaries on Data MappingComputing and Communications on Distributed-Memory MultiprocessorsParallel FFTs without Inter-Processor PermutationsParallel FFTs with Inter-Processor PermutationsA Potpourri of Variations on Parallel FFTsFurther Improvement and a Generalization of Parallel FFTsParallelizing Two-Dimensional FFTsComputing and Distributing Twiddle Factors in the Parallel FFTsAPPENDICESFundamental Concepts of Efficient Scientific ComputationSolving Recurrence Equations by SubstitutionBibliography
Series Title: Computational mathematics series.
Responsibility: Eleanor Chu, Alan George.

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"this book will serve as a self-teaching guide for learning not only FFT, but also many widely applicable techniques in algorithm design and analysis, efficient numerical computation, and scientific Read more...

 
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