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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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London : Singapore ; Hackensack, NJ :
Imperial College Press ; Distributed by World Scientific Pub.,
©2007.
|
| Schriftenreihe: | Advances in computer science and engineering. Texts ;
v. 2. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xiv, 296 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781860948671 1860948677 1281867586 9781281867582 |
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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. | ||
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| contents | 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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| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:17Z |
| institution | BVB |
| isbn | 9781860948671 1860948677 1281867586 9781281867582 |
| language | English |
| oclc_num | 646768362 |
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| publishDateSort | 2007 |
| publisher | Imperial College Press ; Distributed by World Scientific Pub., |
| record_format | marc |
| series | Advances in computer science and engineering. Texts ; |
| series2 | Advances in computer science and engineering: Texts ; |
| spelling | Omondi, Amos R. https://id.oclc.org/worldcat/entity/E39PCjJHkpMVHchVvTQRbQ8mcX http://id.loc.gov/authorities/names/n93119295 Residue number systems : theory and implementation / Amos Omondi, Benjamin Premkumar. London : Imperial College Press ; Singapore ; Hackensack, NJ : Distributed by World Scientific Pub., ©2007. 1 online resource (xiv, 296 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Advances in computer science and engineering: Texts ; v. 2 Includes bibliographical references and index. Print version record. 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. 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. Congruences and residues. http://id.loc.gov/authorities/subjects/sh85031123 Modular arithmetic. http://id.loc.gov/authorities/subjects/sh85086456 Signal processing Digital techniques. http://id.loc.gov/authorities/subjects/sh85122398 Congruences et résidus. Arithmétique modulaire. Traitement du signal Techniques numériques. MATHEMATICS Number Theory. bisacsh Congruences and residues fast Modular arithmetic fast Signal processing Digital techniques fast Premkumar, Benjamin. https://id.oclc.org/worldcat/entity/E39PCjqDGWQkrDCkrD67yv6KYd http://id.loc.gov/authorities/names/nb2008003424 Print version: Omondi, Amos R. Residue number systems. London : Imperial College Press ; Singapore ; Hackensack, NJ : Distributed by World Scientific Pub., ©2007 (DLC) 2008295934 Advances in computer science and engineering. Texts ; v. 2. http://id.loc.gov/authorities/names/no2007041420 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235961 Volltext |
| spellingShingle | Omondi, Amos R. Residue number systems : theory and implementation / Advances in computer science and engineering. Texts ; 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. Congruences and residues. http://id.loc.gov/authorities/subjects/sh85031123 Modular arithmetic. http://id.loc.gov/authorities/subjects/sh85086456 Signal processing Digital techniques. http://id.loc.gov/authorities/subjects/sh85122398 Congruences et résidus. Arithmétique modulaire. Traitement du signal Techniques numériques. MATHEMATICS Number Theory. bisacsh Congruences and residues fast Modular arithmetic fast Signal processing Digital techniques fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85031123 http://id.loc.gov/authorities/subjects/sh85086456 http://id.loc.gov/authorities/subjects/sh85122398 |
| title | Residue number systems : theory and implementation / |
| title_auth | Residue number systems : theory and implementation / |
| title_exact_search | Residue number systems : theory and implementation / |
| title_full | Residue number systems : theory and implementation / Amos Omondi, Benjamin Premkumar. |
| title_fullStr | Residue number systems : theory and implementation / Amos Omondi, Benjamin Premkumar. |
| title_full_unstemmed | Residue number systems : theory and implementation / Amos Omondi, Benjamin Premkumar. |
| title_short | Residue number systems : |
| title_sort | residue number systems theory and implementation |
| title_sub | theory and implementation / |
| topic | Congruences and residues. http://id.loc.gov/authorities/subjects/sh85031123 Modular arithmetic. http://id.loc.gov/authorities/subjects/sh85086456 Signal processing Digital techniques. http://id.loc.gov/authorities/subjects/sh85122398 Congruences et résidus. Arithmétique modulaire. Traitement du signal Techniques numériques. MATHEMATICS Number Theory. bisacsh Congruences and residues fast Modular arithmetic fast Signal processing Digital techniques fast |
| topic_facet | Congruences and residues. Modular arithmetic. Signal processing Digital techniques. Congruences et résidus. Arithmétique modulaire. Traitement du signal Techniques numériques. MATHEMATICS Number Theory. Congruences and residues Modular arithmetic Signal processing Digital techniques |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235961 |
| work_keys_str_mv | AT omondiamosr residuenumbersystemstheoryandimplementation AT premkumarbenjamin residuenumbersystemstheoryandimplementation |