This is the video for Lecture 3 in the course Multiple Antenna Communications at Linköping University and KTH. The lecture covers: Rayleigh fading and the capacity concepts for slow and fast fading channels. Outage probability, outage capacity, and spatial diversity. Ergodic capacity and channel hardening. Jensen’s inequality.
The slides are available here:
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0:00 Introduction
0:34 Multipath propagation
2:43 Multipath fading
5:04 Rich scattering: Rayleigh fading
7:45 Rayleigh fading, Igl - Rayleigh(1/2) • Amplitude of channel changes over time
11:59 Slow fading
13:05 Opportunistic transmission • Suppose transmitter encode using the rate Rbit/symbol
15:21 Outage probability with g-CN(0,1)
17:25 Outage capacity • Difference from deterministic AWGN channel
18:40 Outage capacity with g-CN(0,1)
21:13 Outage capacity with small outage probability
22:23 Fading multiple antenna channels
25:05 M receive antennas and i.i.d. Rayleigh fading • Outage probability
31:04 Opportunistic transmission . Suppose transmitter encode using the rate bit/symbol
32:45 Ergodic capacity . This is called ergodic capacity
33:26 Comparison with AWGN channel
34:56 Jensen's inequality and concave functions
35:57 Ergodic capacity with SIMO channel . Can be used to prove
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