Mathematical Foundations for Signal Processing, Communications, and Networking

Contents

List of Figures

List of Tables

Preface

Editors

List of Contributors

List of Acronyms

Notations and Symbols

1    Introduction

2    Signal Processing Transforms

Serhan Yarkan and Khalid A. Qaraqe

2.1      Introduction

2.2      Basic Transformations

2.3      Fourier Series and Transform

2.3.1      Basic Definitions

2.3.2      Fourier Series

2.3.3      Fourier Transform

2.4      Sampling

2.4.1      Impulse-Train Sampling

2.4.2      Aliasing

2.5      Cosine and Sine Transforms

2.5.1      Cosine Transform

2.5.2      Sine Transform

2.6      Laplace Transform

2.6.1      Properties of Laplace Transform

2.7      Hartley Transform

2.7.1      Properties of Hartley Transform

2.8      Hilbert Transform

2.8.1      Properties of Hilbert Transform