Includes bibliographical references and index.

Series Page; Title Page; Copyright; Preface; About The Editors; Chapter 1: Basic Arithmetic Circuits; 1.1 Introduction; 1.2 Addition and Subtraction; 1.3 Multiplication; 1.4 Sum-of-Products Circuits; 1.5 Squaring; 1.6 Complex Multiplication; 1.7 Special Functions; References; Chapter 2: Shift-Add Circuits for Constant Multiplications; 2.1 Introduction; 2.2 Representation of Constants; 2.3 Single Constant Multiplication; 2.4 Algorithms for Multiple Constant Multiplications; 2.5 Optimization Schemes and Optimal Algorithms; 2.6 Applications; 2.7 Pitfalls and Scope for Future Work

2.8 ConclusionsReferences; Chapter 3: DA-Based Circuits for Inner-Product Computation; 3.1 Introduction; 3.2 Mathematical Foundation and Concepts; 3.3 Techniques for Area Optimization of DA-Based Implementations; 3.4 Techniques for Performance Optimization of DA-Based Implementations; 3.5 Techniques for Low Power and Reconfigurable Realization of DA-Based Implementations; 3.6 Conclusion; References; Chapter 4: Table-Based Circuits for DSP Applications; 4.1 Introduction; 4.2 LUT Design for Implementation of Boolean Function; 4.3 Lookup Table Design for Constant Multiplication

4.4 Evaluation of Elementary Arithmetic Functions4.5 Applications; 4.6 Summary; References; Chapter 5: CORDIC Circuits; 5.1 Introduction; 5.2 Basic CORDIC Techniques; 5.3 Advanced CORDIC Algorithms and Architectures; 5.4 Scaling, Quantization, and Accuracy Issues; 5.5 Applications of CORDIC; 5.6 Conclusions; References; Chapter 6: RNS-Based Arithmetic Circuits and Applications; 6.1 Introduction; 6.2 Modulo Addition and Subtraction; 6.3 Modulo Multiplication and Modulo Squaring; 6.4 Forward (binary to RNS) Conversion; 6.5 RNS to Binary Conversion; 6.6 Scaling and Base Extension

6.7 Magnitude Comparison and Sign Detection6.8 Error Correction and Detection; 6.9 Applications of RNS; References; Chapter 7: Logarithmic Number System; 7.1 Introduction; 7.2 Basics of LNS Representation; 7.3 Fundamental Arithmetic Operations; 7.4 Forward and Inverse Conversion; 7.5 Complex Arithmetic in LNS; 7.6 LNS Processors; 7.7 LNS for Low-Power Dissipation; 7.8 Applications; 7.9 Conclusions; References; Chapter 8: Redundant Number System-Based Arithmetic Circuits; 8.1 Introduction; 8.2 Fundamentals of Redundant Number Systems; 8.3 Redundant Number Systems

8.4 Basic Arithmetic Circuits for Redundant Number Systems8.5 Binary to Redundant Conversion and the Reverse; 8.6 Special Arithmetic Circuits for Redundant Number Systems; 8.7 Applications; 8.8 Summary and Further Reading; References; Index; End User License Agreement

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A comprehensive guide to the fundamental concepts, designs, and implementation schemes, performance considerations, and applications of arithmetic circuits for DSP Arithmetic Circuits for DSP Applications is a complete resource on arithmetic circuits for digital signal processing (DSP). It covers the key concepts, designs and developments of 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 different types of arithmetic circuits used for digital signal processing applications. 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 and reviews in - depth the scope of their applications.

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