An introduction into the basics and mathematical fundamentals of digital communications is given. The lecture covers the following topics:

• Introduction
• Equivalent Complex Baseband
• Pulse-Amplitude Modulation (PAM)
• Variants of PAM Transmission Schemes
• Signal-Space Representation
• Digital Frequency and Phase Modulation
• Channel Models
• Equalization of Dispersive Channels
• Orthogonal Frequency-Division Multiplexing (OFDM)