Table of Contents

Preface

Chapter 1. Introduction

1.1. Brief introduction to MATLAB

1.1.1. MATLAB software presentation

1.1.2. Important MATLAB commands and functions

1.1.3. Operating modes and programming with MATLAB

1.1.4. Example of work session with MATLAB

1.1.5. MATLAB language

1.2. Solved exercises

Chapter 2. Discrete-Time Signals

2.1. Theoretical background

2.1.1. Mathematical model of 1D and 2D discrete-time signals

2.1.2. Basic 1D and 2D discrete-time signals

2.1.3. Periodic 1D and 2D discrete-time signals representation using the discrete-time Fourier series

2.1.4. Representation of non-periodic 1D and 2D discrete-time signals by discrete-time Fourier transform

2.1.5. Analytic signals

2.2. Solved exercises

2.3. Exercises

Chapter 3. Discrete-Time Random Signals

3.1. Theoretical background

3.1.1. Introduction

3.1.2. Real random variables

3.1.3. Random processes

3.2. Solved exercises

3.3. Exercises

Chapter 4. Statistical Tests and High Order Moments

4.1. Theoretical background

4.1.1. Moments

4.1.2. Cumulants

4.1.3. Cumulant properties

4.1.4. Chi-square (Chi2) tests

4.1.5. Normality test using the Henry line

4.2. Solved exercises

4.3. Exercises

Chapter 5. Discrete Fourier Transform of Discrete-Time Signals

5.1. Theoretical background

5.1.1. Discrete Fourier transform of 1D digital signals

5.1.2. DFT of 2D digital signals

5.1.3. Z-transform of 1D digital signals

5.1.4. Z-transform of 2D digital signals

5.1.5. Methods and algorithms for the DFT calculation

5.2. Solved exercises ...

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