Meher Pramod Kumar, Stouraitis Thanos (eds.) Arithmetic Circuits for DSP Applications

Wiley-IEEE Press, 2017. — 336 p. — ISBN: 978-1-119-20677-4.A comprehensive guide to the fundamental concepts and development, digital implementation schemes, performance considerations, and applications of arithmetic circuits for DSP
This book is a complete resource on arithmetic circuits for digital signal processing (DSP). The text covers the key concepts, developments, and applications for different types of arithmetic circuits, which can be used for improving the efficiency of implementation of a multitude of DSP applications. Each chapter includes various applications of the respective class of arithmetic circuits along with information on the future scope of research. Written for students, engineers, and researchers in electrical and computer engineering, this comprehensive text offers a clear understanding of arithmetic circuits for digital signal processing and covers the concepts, designs, and applications of different types of arithmetic circuits.
The text includes contributions from noted researchers on a wide range of topics, including a review of circuits used in implementing basic operations like additions and multiplications; distributed arithmetic as a technique for the multiplier-less implementation of inner products for DSP applications; discussions on look up table-based techniques and their key applications; CORDIC circuits for calculation of trigonometric, hyperbolic and logarithmic functions; real and complex multiplications, division, and square-root; solution of linear systems; eigenvalue estimation; singular value decomposition; QR factorization and many other functions through the use of simple shift-add operations; and much more. This book serves as a comprehensive resource, which describes the arithmetic circuits as fundamental building blocks for state-of-the-art DSP applications and reviews in depth the scope of arithmetic circuits and their applications.Preface
About the Editors

Basic Arithmetic CircuitsAddition and Subtraction.
Multiplication.
Sum-of-Products Circuits.
Squaring.
Complex Multiplication.
Special Functions.Shift-Add Circuits for Constant MultiplicationsRepresentation of Constants.
Single Constant Multiplication.
Algorithms for Multiple Constant Multiplications.
Optimization Schemes and Optimal Algorithms.
Applications.
Pitfalls and Scope for Future Work.
Conclusions 66 References.DA-Based Circuits for Inner-Product ComputationMathematical Foundation and Concepts.
Techniques for Area Optimization of DA-Based Implementations.
Techniques for Performance Optimization of DA-Based Implementations.
Techniques for Low Power and Reconfigurable Realization of DA-Based Implementations.Table-Based Circuits for DSP ApplicationsLUT Design for Implementation of Boolean Function.
Lookup Table Design for Constant Multiplication.
Evaluation of Elementary Arithmetic Functions.
Applications.CORDIC CircuitsBasic CORDIC Techniques.
Advanced CORDIC Algorithms and Architectures.
Scaling, Quantization, and Accuracy Issues.
Applications of CORDIC.
Conclusions.RNS-Based Arithmetic Circuits and ApplicationsModulo Addition and Subtraction.
Modulo Multiplication and Modulo Squaring.
Forward (binary to RNS) Conversion.
RNS to Binary Conversion.
Scaling and Base Extension.
Magnitude Comparison and Sign Detection.
Error Correction and Detection.
Applications of RNS.Logarithmic Number SystemFundamental Arithmetic Operations.
Forward and Inverse Conversion.
Complex Arithmetic in LNS.
LNS Processors.
LNS for Low-Power Dissipation.
Applications.
Conclusions.Redundant Number System-Based Arithmetic CircuitsFundamentals of Redundant Number Systems.
Redundant Number Systems.
Basic Arithmetic Circuits for Redundant Number Systems.
Binary to Redundant Conversion and the Reverse.
Special Arithmetic Circuits for Redundant Number Systems.
Applications.
Summary and Further Reading.