Contents

About the Authors

Preface

1 Introduction to Field-programmable Gate Arrays

1.1 Introduction

1.1.1 Field-programmable Gate Arrays

1.1.2 Programmability and DSP

1.2 A Short History of the Microchip

1.2.1 Technology Offerings

1.3 Influence of Programmability

1.4 Challenges of FPGAs

References

2 DSP Fundamentals

2.1 Introduction

2.2 DSP System Basics

2.3 DSP System Definitions

2.3.1 Sampling Rate

2.3.2 Latency and Pipelining

2.4 DSP Transforms

2.4.1 Fast Fourier Transform

2.4.2 Discrete Cosine Transform (DCT)

2.4.3 Wavelet Transform

2.4.4 Discrete Wavelet Transform

2.5 Filter Structures

2.5.1 Finite Impulse Response Filter

2.5.2 Correlation

2.5.3 Infinite Impulse Response Filter

2.5.4 Wave Digital Filters

2.6 Adaptive Filtering

2.7 Basics of Adaptive Filtering

2.7.1 Applications of Adaptive Filters

2.7.2 Adaptive Algorithms

2.7.3 LMS Algorithm

2.7.4 RLS Algorithm

2.8 Conclusions

References

3 Arithmetic Basics

3.1 Introduction

3.2 Number Systems

3.2.1 Number Representations

3.3 Fixed-point and Floating-point

3.3.1 Floating-point Representations

3.4 Arithmetic Operations

3.4.1 Adders and Subtracters

3.4.2 Multipliers

3.4.3 Division

3.4.4 Square Root

3.5 Fixed-point versus Floating-point

3.6 Conclusions

References

4 Technology Review

4.1 Introduction

4.2 Architecture and Programmability

4.3 DSP Functionality Characteristics

4.4 Processor Classification

4.5 Microprocessors

4.5.1 The ARM Microprocessor Architecture Family

4.6 DSP Microprocessors (DSPμs)

4.6.1 DSP Micro-operation ...

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