Resource management in large-scale wireless networks via random matrix methods

Mathematics is the foundation of information and communication theory, and an essential instrument in the planning and optimization of cellular networks. Not surprisingly the modern cellular networks require advanced mathematical tools to deal with complex problems arising in this context. My study aims to investigate the application of random matrix theory (RMT) as a powerful mathematical tool to develop efficient and practically feasible radio resource management techniques for large-dimensional wireless networks. Exploiting the limiting behaviors of random matrices, it is shown that the resource allocation in large-dimensional wireless networks becomes manageable and/or the information exchange among cooperative nodes can be reduced.