Fast Fourier Transform and Convolution Algorithms PDF
By:H.J. Nussbaumer
Published on 2013-03-08 by Springer Science & Business Media
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.
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Book ID of Fast Fourier Transform and Convolution Algorithms's Books is tnjpCAAAQBAJ, Book which was written byH.J. Nussbaumerhave ETAG "w7X7ibwi2bs"
Book which was published by Springer Science & Business Media since 2013-03-08 have ISBNs, ISBN 13 Code is 9783662005514 and ISBN 10 Code is 3662005514
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Book which have "248 Pages" is Printed at BOOK under CategoryMathematics
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