Chapter 5

Capacity of Single-Link MIMO Channels

In this chapter, we will address the following issues.

• We start with a reminder on the concept of capacity in SISO channels, and introduce different scenarios depending on the coherence time of the fading channel.

• We continue by evaluating the capacity of a deterministic channel, and we introduce the popular water-filling algorithm.

• Then, we extend these results to the case of fast-fading channels, and calculate the ergodic capacity for two schemes: when a perfect channel state information is available at the transmitter (CSIT), or when the system has at most a partial (stochastic) knowledge of the channel at the transmitter. In the latter, the transmitter is informed about the channel distribution, ...

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