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Residue number systems : theory and implementation /

Residue number systems (RNSs) and arithmetic are useful for several reasons. First, a great deal of computing now takes place in embedded processors, such as those found in mobile devices, for which high speed and low-power consumption are critical; the absence of carry propagation facilitates the r...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Omondi, Amos R.
Otros Autores: Premkumar, Benjamin
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Singapore ; Hackensack, NJ : Imperial College Press ; Distributed by World Scientific Pub., ©2007.
Colección:Advances in computer science and engineering. Texts ; v. 2.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Residue number systems :  |b theory and implementation /  |c Amos Omondi, Benjamin Premkumar. 
260 |a London :  |b Imperial College Press ;  |a Singapore ;  |a Hackensack, NJ :  |b Distributed by World Scientific Pub.,  |c ©2007. 
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490 1 |a Advances in computer science and engineering: Texts ;  |v v. 2 
504 |a Includes bibliographical references and index. 
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520 |a Residue number systems (RNSs) and arithmetic are useful for several reasons. First, a great deal of computing now takes place in embedded processors, such as those found in mobile devices, for which high speed and low-power consumption are critical; the absence of carry propagation facilitates the realization of high-speed, low-power arithmetic. Second, computer chips are now getting to be so dense that full testing will no longer be possible; so fault tolerance and the general area of computational integrity have become more important. RNSs are extremely good for applications such as digital signal processing, communications engineering, computer security (cryptography), image processing, speech processing, and transforms, all of which are extremely important in computing today. This book provides an up-to-date account of RNSs and arithmetic. It covers the underlying mathematical concepts of RNSs; the conversion between conventional number systems and RNSs; the implementation of arithmetic operations; various related applications are also introduced. In addition, numerous detailed examples and analysis of different implementations are provided. 
505 0 |a 1. Introduction -- 2. Mathematical fundamentals -- 3. Forward conversion -- 4. Addition -- 5. Multiplication -- 6. Comparison, overflow-detection, sign-determination, scaling, and division -- 7. Reverse conversion -- 8. Applications. 
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650 0 |a Congruences and residues. 
650 0 |a Modular arithmetic. 
650 0 |a Signal processing  |x Digital techniques. 
650 6 |a Congruences et résidus. 
650 6 |a Arithmétique modulaire. 
650 6 |a Traitement du signal  |x Techniques numériques. 
650 7 |a MATHEMATICS  |x Number Theory.  |2 bisacsh 
650 7 |a Congruences and residues  |2 fast 
650 7 |a Modular arithmetic  |2 fast 
650 7 |a Signal processing  |x Digital techniques  |2 fast 
700 1 |a Premkumar, Benjamin. 
776 0 8 |i Print version:  |a Omondi, Amos R.  |t Residue number systems.  |d London : Imperial College Press ; Singapore ; Hackensack, NJ : Distributed by World Scientific Pub., ©2007  |w (DLC) 2008295934 
830 0 |a Advances in computer science and engineering.  |p Texts ;  |v v. 2. 
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