Chapter 1

A Short Introduction to MIMO Information Theory

Merouane Debbah

1.1 The Shannon-Wiener Legacy: From 1948 to 2008

In 1948, two important landmark papers were published. The first one [Sha48] was published by Shannon, who provided and proved the expression of the achievable communication rate of a channel with noise. Quite remarkably, Shannon introduced a model (which is still of important use today) based on a statistical nature of the communication medium (see Figure 1.1). Hence, for a given probabilistic model of the medium, he provided the means to compute the exact maximum transmission rate of the information in the system. At the same time, Wiener [Wie48] derived the same capacity formula (without an explicit proof) and introduced ...

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