Signals and Systems using MATLAB

Dedication

Preface

Level

Approach

Content

Teaching Using this Text

To the Student

Acknowledgements

Resources that Accompany This Book

Part 1: Introduction

Chapter 0. From the Ground Up!

0.1 Signals and Systems and Digital Technologies

0.2 Examples of Signal Processing Applications

0.3 Analog or Discrete?

0.4 Complex or Real?

0.5 Soft Introduction to MATLAB

Part 2: Theory and Application of Continuous-Time Signals and Systems

Chapter 1. Continuous-Time Signals

1.1 Introduction

1.2 Classification of Time-Dependent Signals

1.3 Continuous-Time Signals

1.4 Representation Using Basic Signals

1.5 What Have We Accomplished? Where Do We Go from Here?

Chapter 2. Continuous-Time Systems

2.1 Introduction

2.2 System Concept

2.3 LTI Continuous-Time Systems

2.4 What Have We Accomplished? Where Do We Go from Here?

Chapter 3. The Laplace Transform

3.1 Introduction

3.2 The Two-Sided Laplace Transform

3.3 The One-Sided Laplace Transform

3.4 Inverse Laplace Transform

3.5 Analysis of LTI Systems

3.6 What have We Accomplished? Where Do We Go from Here?

Chapter 4. Frequency Analysis: The Fourier Series

4.1 Introduction

4.2 Eigenfunctions Revisited

4.3 Complex Exponential Fourier Series

4.4 Line Spectra

4.5 Trigonometric Fourier Series

4.6 Fourier Coefficients from Laplace

4.7 Convergence of the Fourier Series

4.8 Time and Frequency Shifting

4.9 Response of LTI Systems to Periodic Signals

4.10 Other Properties of the Fourier Series

4.11 What Have We Accomplished? Where Do We Go from Here?

Chapter 5. Frequency Analysis: The Fourier Transform

5.1 Introduction

5.2 From the Fourier Series to the Fourier Transform

5.3 Existence of the Fourier Transform

5.4 Fourier Transforms from the Laplace Transform

5.5 Linearity, Inverse Proportionality, and Duality

5.6 Spectral Representation

5.7 Convolution and Filtering

5.8 Additional Properties

5.9 What have we Accomplished? What is Next?

Chapter 6. Application to Control and Communications

6.1 Introduction

6.2 System Connections and Block Diagrams

6.3 Application to Classic Control

6.4 Application to Communications

6.5 Analog Filtering

6.6 What have we accomplished? What is next?

Part 3: Theory and Application of Discrete-Time Signals and Systems

Chapter 7. Sampling Theory

7.1 Introduction

7.2 Uniform Sampling

7.3 The Nyquist-Shannon Sampling Theorem

7.4 Practical Aspects of Sampling

7.5 What Have We Accomplished? Where Do We Go from Here?

Chapter 8. Discrete-Time Signals and Systems

8.1 Introduction

8.2 Discrete-Time Signals

8.3 Discrete-Time Systems

8.4 What have we accomplished? Where do we go from here?

Chapter 9. The Z-Transform

9.1 Introduction

9.2 Laplace Transform of Sampled Signals

9.3 Two-Sided Z-Transform

9.4 One-Sided Z-Transform

9.5 One-Sided Z-Transform Inverse

9.6 What Have We Accomplished? Where Do We Go from Here?

Chapter 10. Fourier Analysis of Discrete-Time Signals and Systems

10.1 Introduction

10.2 Discrete-Time Fourier Transform

10.3 Fourier Series of Discrete-Time Periodic Signals

10.4 Discrete Fourier Transform

10.5 What Have We Accomplished? Where Do We Go from Here?

Chapter 11. Introduction to the Design of Discrete Filters

11.1 Introduction

11.2 Frequency-Selective Discrete Filters

11.3 Filter Specifications

11.4 IIR Filter Design

11.5 FIR Filter Design

11.6 Realization of Discrete Filters

11.7 What have we Accomplished? Where do we go from here?

Chapter 12. Applications of Discrete-Time Signals and Systems

12.1 Introduction

12.2 Application to Digital Signal Processing

12.3 Application to Sampled-Data and Digital Control Systems

12.4 Application to Digital Communications

12.5 What Have We Accomplished? Where Do We Go from Here?

Appendix. Useful Formulas

References

Index