Page 10 - Fundamentals of Communications Systems

viii Contents

2.4 Utilizing Matlab 2.23
2.4.1 Sampling 2.23
2.4.2 Integration 2.24
2.4.3 Commonly Used Functions 2.24
2.5 Homework Problems 2.25
2.6 Example Solutions 2.33
2.7 Miniprojects 2.36
2.7.1 Project 1 2.36
2.7.2 Project 2 2.37

Chapter 3 Review of Probability and Random Variables 3.1
3.1 Axiomatic Definitions of Probability 3.1
3.2 Random Variables 3.6
3.2.1 Cumulative Distribution Function 3.6
3.2.2 Probability Density Function 3.8
3.2.3 Moments and Statistical Averages 3.9
3.2.4 The Gaussian Random Variable 3.10
3.2.5 A Transformation of a Random Variable 3.12
3.3 Multiple Random Variables 3.14
3.3.1 Joint Density and Distribution Functions 3.14
3.3.2 Joint Moments and Statistical Averages 3.16
3.3.3 Two Gaussian Random Variables 3.16
3.3.4 Transformations of Random Variables 3.19
3.3.5 Central Limit Theorem 3.21
3.3.6 Multiple Dimensional Gaussian Random Variables 3.22
3.4 Homework Problems 3.23
3.5 Example Solutions 3.33
3.6 Miniprojects 3.36
3.6.1 Project 1 3.36

Chapter 4 Complex Baseband Representation of Bandpass Signals 4.1
4.1 Introduction 4.1
4.2 Baseband Representation of Bandpass Signals 4.2
4.3 Visualization of Complex Envelopes 4.6
4.4 Spectral Characteristics of the Complex Envelope 4.9
4.4.1 Basics 4.9
4.4.2 Bandwidth of Bandpass Signals 4.13
4.5 Power of Carrier Modulated Signals 4.14
4.6 Linear Systems and Bandpass Signals 4.14
4.7 Conclusions 4.18
4.8 Homework Problems 4.18
4.9 Example Solutions 4.30
4.10 Miniprojects 4.33
4.10.1 Project 1 4.33
4.10.2 Project 2 4.33