Window Functions and Their Applications in Signal Processing

 

Contents

 

 

Foreword

Preface

Acknowledgments

Abbreviations

1. Fourier Analysis Techniques for Signal Processing

1.1 Review of Basic Signals and Systems

1.1.1 Basic Continuous-Time Signals

1.1.2 Basic Discrete-Time Signals

1.1.3 System and Its Properties

1.1.4 LTI Systems

1.2 Continuous-Time Fourier Transform

1.2.1 Properties of the CTFT

1.2.2 Examples of CTFT

1.3 Discrete-Time Fourier Transform

1.3.1 Properties of DTFT

1.3.2 Examples of DTFT

1.4 Z-Transform

1.4.1 Examples of z-Transform

1.5 Discrete Fourier Transform

1.5.1 Properties of the DFT

1.5.2 Examples of DFT

1.6 Fast Fourier Transform

1.6.1 Decimation-in-Time FFT (DIT-FFT)

1.6.1.1 Computational Savings

1.6.1.2 In-Place Computation

1.6.2 Decimation-in-Frequency FFT (DIF-FFT)