Multiplicative Complexity, Convolution, and the DFT (Signal Processing and Digital Filtering)

Michael T. Heideman

ISBN 10: 0387968105 / ISBN 13: 9780387968100

Published by Springer, 1988

About this Item

Ancien livre de bibliothèque. Edition 1988. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Very good. Former library book. Edition 1988. Ammareal gives back up to 15% of this item's net price to charity organizations.

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Bibliographic Details

• Title: Multiplicative Complexity, Convolution, and the DFT (Signal Processing and Digital Filtering)
• Publisher: Springer
• Publication Date: 1988
• Language: English
• ISBN 10: 0387968105
• ISBN 13: 9780387968100
• Binding: Hardcover
• Condition: Très bon

About this title

Synopsis

This book is intended to be a comprehensive reference to multiplicative com­ plexity theory as applied to digital signal processing computations. Although a few algorithms are included to illustrate the theory, I concentrated more on the develop­ ment of the theory itself. Howie Johnson's infectious enthusiasm for designing efficient DfT algorithms got me interested in this subject. I am grateful to Prof. Sid Burrus for encouraging and supporting me in this effort. I would also like to thank Henrik Sorensen and Doug Jones for many stimulating discussions. lowe a great debt to Shmuel Winograd, who, almost singlehandedly, provided most of the key theoretical results that led to this present work. His monograph, Arithmetic Complexity o/Computations, introduced me to the mechanism behind the proofs of theorems in multiplicative complexity. enabling me to return to his earlier papers and appreciate the elegance of his methods for deriving the theory. The second key work that influenced me was the paper by Louis Auslander and Winograd on multiplicative complexity of semilinear systems defined by polynomials. After reading this paper, it was clear to me that this theory could be applied to many impor­ tant computational problems. These influences can be easily discerned in the present work.