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- DescriptionThis 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 Wigrad, who, almost singlehandedly, provided most of the key theoretical results that led to this present work. His mograph, 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 Wigrad on multiplicative complexity of semilinear systems defined by polymials. 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.
- Author(s)Michael T. Heideman
- PublisherSpringer-Verlag New York Inc.
- Date of Publication01/11/2011
- SubjectMechanical Engineering
- Series TitleSignal Processing and Digital Filtering
- Place of PublicationNew York, NY
- Country of PublicationUnited States
- ImprintSpringer-Verlag New York Inc.
- Content Notebiography
- Weight266 g
- Width155 mm
- Height235 mm
- Spine9 mm
- Edition StatementSoftcover reprint of the original 1st ed. 1988
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