1. Introduction: The ISI channel and its significance.

2. The AWGN channel

• Channel model: Continuous bandlimited AWGN channel, equivalent baseband channel, discrete-time channel.

• Modulation: generalized Nyquist criterion, single-tone, DMT.

• Capacity: AWGN capacity, spectral efficiency, gap to capacity.

3. Single-input single-output (SISO) dispersive channel

• Dispersion in the time domain

• Channel model: continuous channel, equivalent discrete-time channel.

• Single-tone detection: optimal detection (MLSE), equalization, precoding, Price’s result, approaching capacity by equalization and AWGN coding.

• DMT: effect of ISI in DMT, cyclic prefix, equalization for DMT, bit loading, approaching capacity with DMT.

4. Multiple-input multiple output (MIMO) channel

• Channel model: analogy to ISI channel and differences, single-user vs. multiuser.

• Notions of MIMO capacity MIMO capacity under different assumptions about channel knowledge.

• Receiver structures for MIMO.

5. Diversity techniques

• Diversity notion and its importance in wireless communications.

• SIMO channel: maximal ratio combining, diversity gain, array gain.

• MISO channel: diversity gain of random coding, Alamouti scheme, space-time codes.