"Analysis, Design and Optimization of Wireless MIMO Systems in Multi-User Environments"

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High-speed wireless communication systems/networks constitute an important part of the Canadian industry and economy. Multi-antenna (MIMO) wireless technology was transformed in the past 10 years into a mature area widely recognized for its importance in both academia and industry. The more recent shift of interest in both research & development and applications is from single-user links to various multi-user environments, including relay channel and networks. This project targets the development of new tools (both analytical and numerical) for performance analysis, optimization and design of MIMO systems in multi-user (networked) collaborative environments. It will be based on the fundamental mathematical techniques of probability theory (including stochastic geometry), asymptotic analysis and convex optimization, in addition to the well-established and also recently developed tools of communication and information-theoretic nature. The recent results of MIMO system analysis and optimization will be extended to collaborative multi-user systems (e.g. relaying, cognitive radio) under realistic channel/system models (e.g. including channel correlation, dynamics, estimation uncertainty etc.). This will also include such issues as resource allocation and robustness of the developed solutions/algorithms to perturbations in system/environmental parameters. The powerful analytical and numerical tools of convex optimization (e.g. KKT conditions, Lagrange duality, interior point methods) will be used. It is expected that new insights originating from the analysis/optimization will result in new guidelines to be used in the system design and standard/policy development. New algorithms will provide higher rates (or spectral efficiency) and quality-of-service while being more energy-efficient and robust. A part of research will be dedicated to an assessment of the environmental impacts of ubiquitous wireless systems.