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Lecturer Section: Romain Couillet

Romain Couillet

Romain Couillet

Department of Telecommunications




Introduction to Random Matrix Methods for Wireless Applications



This tutorial introduces the basics of random matrix theory. After a short motivation through examples in signal processing and telecommunications, we will introduce the important tool that is the Stieltjes transform. The derivation of the popular Marcenko-Pastur law will be proposed based on this approach. Concrete applications to practical wireless communication problems, ranging from capacity estimation to optimal precoder structure in point-to-point MIMO, multiple access MIMO channels, to lineary precoded broadcast channels, will then be detailed. The objective of the tutorial is mostly for the audience to understand the basic tools and be able to apply them to various (more timely) wireless communication problems.



Romain Couillet received his MSc in Mobile Communications at the Eurecom Institute and his MSc in Communication Systems in Telecom ParisTech, France in 2007. From 2007 to 2010, he worked with ST-Ericsson as an Algorithm Development Engineer on the Long Term Evolution Advanced project, where he prepared his PhD with Supelec, France, which he graduated in November 2010. He is currently an assistant professor in the Telecommunication department of SUPÉLEC, France. His research topics are in information theory, signal processing, complex systems and random matrix theory. He is the recipient of the 2013 CNRS Bronze Medal in the section "science of information and its interactions", of the 2013 IEEE ComSoc Outstanding Young Researcher Award (EMEA Region), of the 2011 EEA/GdR ISIS/GRETSI best PhD thesis award, and of the Valuetools 2008 best student paper award.