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Table of Contents
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
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