Introduction to Communication Theory (eBook)

Front Cover 1
Introduction to Communication Theory 4
Copyright Page 5
Table of Contents 8
PREFACE 12
INTRODUCTION TO THE STUDENT 14
CHAPTER 1. SIGNAL ANALYSIS 16
1.1 Orthogonal Vector Spaces 17
1.2 Orthogonal Function Spaces 19
1.3 Fourier Series 21
1.4 Complex Fourier Spectrum 29
1.5 The Fourier Transform 32
1.6 Convolution 35
1.7 Properties of the Fourier Transform 45
1.8 Singularity Functions 52
1.9 Periodic Time Functions 61
1.10 The Sampling Theorem 64
Conclusions 69
Problems 71
CHAPTER 2. LINEAR SYSTEMS 80
2.1 The System Function 82
2.2 Complex Transfer Function 83
2.3 Filters 87
2.4 Causality 92
2.5 Practical Filters 95
2.6 Rise Time and Pulse Width 99
2.7 Power and Energy 104
Problems 116
CHAPTER 3. AMPLITUDE MODULATION SYSTEMS 120
3.1 Modulation 122
3.2 Double Sideband Suppressed Carrier AM 123
3.3 Modulators 131
3.4 Demodulators 140
3.5 Problems in Synchronous Demodulation 144
3.6 AM Transmitted Carrier 149
3.7 The Envelope Detector 154
3.8 Envelopes and Pre-Envelopes of Waveforms 160
3.9 The Superheterodyne AM Receiver 164
3.10 Single Sideband 168
3.11 Vestigial Sideband Transmission 180
Problems 183
CHAPTER 4. FREQUENCY AND PHASE MODULATION 188
4.1 Narrowband FM 193
4.2 Wideband FM 196
4.3 Modulators 207
4.4 Demodulators 211
4.5 Phase Modulation 215
4.6 Broadcast FM and FM Stereo 218
Problems 221
CHAPTER 5. PULSE MODULATION 224
5.1 Sending Analog Signals by Discrete Techniques 225
5.2 PAM – General Description 225
5.3 Modulation and Demodulation of PAM 230
5.4 Alternate Types of Analog Pulse Modulation 233
5.5 Pulse Code Modulation 238
5.6 Time Division Multiplexing 241
Problems 243
CHAPTER 6. AN INTRODUCTION TO NOISE ANALYSIS 246
6.1 What is Noise? 246
6.2 Basic Elements of Probability Theory 247
6.3 Stochastic Processes 262
6.4 White Noise 267
6.5 Some Concluding Remarks 273
Problems 273
APPENDIX I: List of symbols 278
APPENDIX II: Table of Fourier Transforms 282
INDEX 284