| |
| |
| |
| Introduction | |
| |
| |
| |
| A brief History of Communications | |
| |
| |
| |
| Basics of Wireless Communications | |
| |
| |
| |
| Digital Communications | |
| |
| |
| |
| Why Discrete-Time Processing is so Popular | |
| |
| |
| |
| Organization of the Text | |
| |
| |
| |
| Notes and References | |
| |
| |
| |
| Signals and Systems 1: A Review of the Basics | |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Signals | |
| |
| |
| |
| Continuous-Time Signals | |
| |
| |
| |
| Discrete-Time Signals | |
| |
| |
| |
| Systems | |
| |
| |
| |
| Continuous-Time Systems | |
| |
| |
| |
| Discrete- Time Systems | |
| |
| |
| |
| Frequency Domain Characterization | |
| |
| |
| |
| Laplace Transform | |
| |
| |
| |
| Continuous-Time Fourier Transform | |
| |
| |
| |
| Z Transform | |
| |
| |
| |
| Discrete-Time Fourier Transform | |
| |
| |
| |
| The Discrete Fourier Transform | |
| |
| |
| |
| The Relationship Between Discrete-Time and Continuous-Time Systems | |
| |
| |
| |
| The Sampling Theorem | |
| |
| |
| |
| Discrete-Time Processing of Continuous-Time Signals | |
| |
| |
| |
| Discrete-Time Processing of Bandpass Signals | |
| |
| |
| |
| Notes and References | |
| |
| |
| |
| Exercises | |
| |
| |
| |
| Signals and Systems 2: Some Useful Discrete-Time Techniques for Digital Communications | |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Multirate | |
| |
| |
| |
| Impulse Train Sampling | |
| |
| |
| |
| Downsampling | |
| |
| |
| |
| Upsampling | |
| |
| |
| |
| The Noble Identities | |
| |
| |
| |
| Polyphase Filterbanks | |
| |
| |
| |
| Discrete-Time Filters Design Methods | |
| |
| |
| |
| IIR Filter Design | |
| |
| |
| |
| FIR Filter Design | |
| |
| |
| |
| Two Important Filters: The Differentiator and the Intergrator | |
| |
| |
| |
| Notes and References | |
| |
| |
| |
| Exercises | |
| |
| |
| |
| A Review of Probability Theory | |
| |
| |
| |
| Basic Definitions | |
| |
| |
| |
| Gaussian Random Variables | |
| |
| |
| |
| Density and Distribution Functions | |
| |
| |
| |
| Product Moments | |
| |
| |
| |
| Bivariate Gaussian Distribution | |
| |
| |
| |
| Functions of Random Variables | |
| |
| |
| |
| Multivariate Gaussian Random Variables | |
| |
| |
| |
| Random Sequences | |
| |
| |
| |
| Power Spectral Density | |
| |
| |
| |
| Random Sequences and Discrete-Time LTI Systems | |
| |
| |
| |
| Additive White Gaussian Noise | |
| |
| |
| |
| Continuous Time Random Processes | |
| |
| |
| |
| The White Gaussian Random Process: A Good Model For Noise | |
| |
| |
| |
| White Gaussian Noise in a sampled data System | |
| |
| |
| |
| Notes and References | |
| |
| |
| |
| Exercises | |
| |
| |
| |
| Linear Modulation 1: Demodulation, and Detection | |
| |
| |
| |
| Signal Spaces | |
| |
| |
| |
| Definitions | |
| |
| |
| |
| The Synthesis Equation and Linear Modulation | |
| |
| |
| |
| The Analysis Equation and Detection | |
| |
| |
| |
| The matched Filter | |
| |
| |
| |
| M-ary Baseband Pulse Amplitude Modulation (PAM) | |
| |
| |
| |
| Continuous-Time Realization | |
| |
| |
| |
| Discrete-Time Realization | |
| |
| |
| |
| M-ary Quadrature Amplitude Modulation (MQAM) | |
| |
| |
| |
| Continuous-Time Realization | |
| |
| |
| |
| Discrete-Time Realization | |
| |
| |
| |
| Offset QPSK | |
| |
| |
| |
| Multicarrier | |
| |
| |
| |
| Maximum Likelihood detection | |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Preliminaries | |
| |
| |
| |
| Maximum Likelihood Decision Rule | |
| |
| |
| |
| Notes and References | |
| |
| |
| |
| Exercises | |
| |
| |
| |
| Linear Modulation 2: Performance | |
| |
| |
| |
| Performance of PAM | |
| |
| |
| |
| Bandwidth | |
| |
| |
| |
| Probability of Error | |
| |
| |
| |
| Performance of QAM | |
| |
| |
| |
| Bandwidth | |
| |
| |
| |
| Probability of Error | |
| |
| |
| |
| Comparisons | |
| |
| |
| |
| Link Budgets | |
| |
| |
| |
| Received Power and The Friis equation | |
| |
| |
| |
| Equivalent Noise Temperature and Noise Figure | |
| |
| |
| |
| The Link Budget Equation | |
| |
| |
| |
| Projection White Noise Onto An Orthonormal Basis Set | |
| |
| |
| |
| Notes and References | |
| |
| |
| |
| Exercises | |
| |
| |
| |
| Carrier Phase Synchronization | |
| |
| |
| |
| Basics Problem Formulation | |
| |
| |
| |
| Carrier Phase Synchronization for QPSK | |
| |
| |
| |
| A Heuristic Phase Error Det | |