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In the following, we provide a tutorial on the practical application of random matrix theory (RMT) in communication problems, in order to facilitate the utilization of the analytic RMT approach for interested researchers. To this end, we first state the necessary basic theoreti- cal concepts, lemmas and tools from RMT. After this, we build intuition, confidence, and insight into RMT concepts and their applications, by putting the introduced theoretical results into a tutorial like context. To familiarize the reader with the introduced tools, we rely on an example of a step by step derivation of the deterministic equivalent for a non-trivial rate problem. Thus, we provide the theory needed to soundly use the framework of RMT in the design of future large scale (w.r.t. the numbers of users, base stations and antennas) communication networks.
random matrix theory, deterministic equivalents, MIMO, telecommunication.
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