Digital Signal Processing Techniques and Applications in Radar Image Processing

CONTENTS

Preface

List of Symbols

List of Illustrations

1 Signal Theory and Analysis

1.1 Special Functions Used in Signal Processing

1.1.1 Delta or Impulse Function δ(t)

1.1.2 Sampling or Interpolation Function sinc (t)

1.2 Linear System and Convolution

1.2.1 Key Properties of Convolution

1.2.1.1 Commutative

1.2.1.2 Associative

1.2.1.3 Distributive

1.2.1.4 Timeshift

1.3 Fourier Series Representation of Periodic Signals

1.3.1 Trigonometric Fourier Series

1.3.2 Compact Trigonometric Fourier Series

1.3.3 Exponential Fourier Series

1.4 Nonperiodic Signal Representation by Fourier Transform

1.5 Fourier Transform of a Periodic Signal

1.6 Sampling Theory and Interpolation

1.7 Advanced Sampling Techniques

1.7.1 Sampling with Bandpass Signal

1.7.2 Resampling by Evenly Spaced Decimation

1.7.3 Resampling by Evenly Spaced Interpolation

1.7.4 Resampling by Fractional Rate Interpolation

1.7.5 Resampling from Unevenly Spaced Data

1.7.5.1 Jacobian of Transformation

2 Discrete Time and Frequency Transformation

2.1 Continuous and Discrete Fourier Transform

2.2 Key Properties of Discrete Fourier Transform

2.2.1 Shifting and Symmetry

2.2.2 Linear and Circular Convolution

2.2.3 Sectioned Convolution

2.2.3.1 Overlap-and-Add Method

2.2.3.2 Overlap-and-Save Method

2.2.4 Zero Stuffing and Discrete Fourier Transform (DFT) Resolution

2.3 Widows and Discrete Fourier Transform

2.4 Fast Fourier Transform

2.4.1 Radix-2 Fast Fourier Transform (FFT) Algorithms

2.5 Discrete Cosine Transform (DCT)

2.5.1 Two-Dimensional ...