Introduction and a Brief Review on Digital Communications & Probability Theory

1. Introduction
2. Review of Probability Theory
3. Random Variables
4. Statistical Averages and Characteristic Function
5. Stochastic (Random) Processes
6. Statistics of Linear System Response
7. AWGN and Bandlimited Noise

1. Maximum Aposteriori Receiver
2. Maximum Likelihood Receiver for AWGN Channel
3. Correlation and Matched-Filter Receivers

1. Error Probability Computation
2. Antipodal Binary Signaling
3. Binary Orthogonal Signaling
4. ML Receivers for Bi-orthogonal & Multilevel Signals
5. Performance Bounds in AWGN

1. Binary Phase Shift Keying (BPSK)
2. Differential PSK (DPSK)
3. Quadrature PSK (QPSK)
4. Quadrature Amplitude Modulation (QAM)
5. Multidimensional Lattice-Based Constellations
6. Summary of Energy and Spectrum Efficiency in Digital Modulation

1. Definitions and Code Classes
2. Linear Block Codes and Examples
3. Cyclic Codes and Examples
4. BCH and Reed-Solomon Codes
5. Convolutional Codes with Examples
6. Trellis Coded Modulation and Ungerboeck Codes

1. Channel Equalization
2. Adaptive Equalizers
3. Steepest Descent and LMS Algortihms
4. Decision-Feedback Equalization
5. Echoes in Channel
6. Echo Cancellers

1. Digital Subscriber Line Technologies
2. Highlights of ADSL Standard Architecture
3. Carrierless AM/PM (CAP) Modulation
4. Discrete Multi-Tone (DMT) Modulation
5. HDSL/ADSL Systems using DMT Modulation