Jean-Pierre Deschamps, Gery J. A. Bioul, Gustavo D. Sutter

Synthesis of Arithmetic Circuits

Fpga, ASIC and Embedded Systems

• Gebundenes Buch

Produktbeschreibung

A new approach to the study of arithmetic circuits

In Synthesis of Arithmetic Circuits: FPGA, ASIC and EmbeddedSystems, the authors take a novel approach of presenting methodsand examples for the synthesis of arithmetic circuits that betterreflects the needs of today s computer system designers andengineers. Unlike other publications that limit discussion toarithmetic units for general-purpose computers, this text featuresa practical focus on embedded systems.

Following an introductory chapter, the publication is divided intotwo parts. The first part, Mathematical Aspects and Algorithms,includes mathematical background, number representation, additionand subtraction, multiplication, division, other arithmeticoperations, and operations in finite fields. The second part,Synthesis of Arithmetic Circuits, includes hardware platforms,general principles of synthesis, adders and subtractors,multipliers, dividers, and other arithmetic primitives. Inaddition, the publication distinguishes itself with:
A separate treatment of algorithms and circuits-a more usefulpresentation for both software and hardware implementations
Complete executable and synthesizable VHDL models available onthe book s companion Web site, allowing readers to generatesynthesizable descriptions
Proposed FPGA implementation examples, namely synthesizablelow-level VHDL models for the Spartan II and Virtex families
Two chapters dedicated to finite field operations

This publication is a must-have resource for students in computerscience and embedded system designers, engineers, and researchersin the field of hardware and software computer system design anddevelopment.

An Instructor Support FTP site is available from the Wileyeditorial department.

Produktdetails

• Verlag: Wiley & Sons
• Artikelnr. des Verlages: 14668783000
• 1. Auflage
• Seitenzahl: 576
• Erscheinungstermin: 1. Dezember 2005
• Englisch
• Abmessung: 240mm x 161mm x 35mm
• Gewicht: 900g
• ISBN-13: 9780471687832
• ISBN-10: 0471687839
• Artikelnr.: 15168083

Autorenporträt

JEAN-PIERRE DESCHAMPS, PhD, is Professor, University Rovira, Tarragona, Spain. He is the author of six books and over 100 research papers. His research interests include FPGA and ASIC design, digital arithmetic, and cryptography. GERY Jean Antoine BIOUL, MSc, is Professor, National University of the Center of the Province of Buenos Aires, Argentina. His research interests include logic design and computer arithmetic algorithms, and implementations. GUSTAVO D. SUTTER, PhD, is Professor, University Autonoma of Madrid, Spain. His research interests include FPGA and ASIC design, digital arithmetic, and development of embedded systems.

Inhaltsangabe

Preface. About the Authors. 1. Introduction. 1.1 Number Representation. 1.2
Algorithms. 1.3 Hardware Platforms. 1.4 Hardware-Software Partitioning. 1.5
Software Generation. 1.6 Synthesis. 1.7 A First Example. 1.8 Bibliography.
2. Mathematical Background. 2.1 Number Theory. 2.2 Algebra. 2.3 Function
Approximation. 2.4 Bibliography. 3. Number Representation. 3.1 Natural
Numbers. 3.2 Integers. 3.3 Real Numbers. 3.4 Bibliography. 4. Arithmetic
Operations: Addition and Subtraction. 4.1 Addition of Natural Numbers. 4.2
Subtraction of Natural Numbers. 4.3 Integers. 4.4 Bibliography. 5.
Arithmetic Operations: Multiplication. 5.1 Natural Numbers Multiplication.
5.2 Integers. 5.3 Squaring. 5.4 Bibliography. 6 Arithmetic Operations:
Division. 6.1 Natural Numbers. 6.2 Integers. 6.3 Convergence (Functional
Iteration) Algorithms. 6.4 Bibliography. 7. Other Arithmetic Operations.
7.1 Base Conversion. 7.2 Residue Number System Conversion. 7.3 Logarithmic,
Exponential, and Trigonometric Functions. 7.4 Square Rooting. 7.5
Bibliography. 8. Finite Field Operations. 8.1 Operations in Zm. 8.2
Operations in GF(p). 8.3 Operations in Zp[x]/f (x). 8.4 Operations in
GF(pn). 8.5 Bibliography. Appendix 8.1 Computation of fki. 9 Hardware
Platforms. 9.1 Design Methods for Electronic Systems. 9.2 Instruction Set
Processors. 9.3 ASIC Designs. 9.4 Programmable Logic. 9.5 Hardware
Description Languages (HDLs). 9.6 Further Readings. 9.7 Bibliography. 10.
Circuit Synthesis: General Principles. 10.1 Resources. 10.2 Precedence
Relation and Scheduling. 10.3 Pipeline. 10.4 Self-Timed Circuits. 10.5
Bibliography. 11 Adders and Subtractors. 11.1 Natural Numbers. 11.2
Integers. 11.3 Bibliography. 12 Multipliers. 12.1 Natural Numbers. 12.2
Integers. 12.3 Bibliography. 13. Dividers. 13.1 Natural Numbers. 13.2
Integers. 13.3 Bibliography. 14 Other Arithmetic Operators. 14.1 Base
Conversion. 14.2 Polynomial Computation Circuits. 14.3 Logarithm Operator.
14.4 Exponential Operator. 14.5 Sine and Cosine Operators. 14.6 Square
Rooters. 14.7 Bibliography. 15. Circuits for Finite Field Operations. 15.1
Operations in Zm. 15.2 Inversion in GF(p). 15.3 Operations in Zp[x]/f (x).
15.4 Inversion in GF(pn). 15.5 Bibliography. 16. Floating-Point Unit. 16.1
Floating-Point System Definition. 16.2 Arithmetic Operations. 16.3 Rounding
Schemes. 16.4 Guard Digits. 16.5 Adder-Subtractor. 16.6 Multiplier. 16.7
Divider. 16.8 Square Root. 16.9 Comments. 16.10 Bibliography. Index.