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

高速无线通信系统/网络是加拿大工业和经济的重要组成部分。多天线（MIMO）无线技术在过去10年中转变为一个成熟的领域，其重要性在学术界和工业界都得到了广泛的认可。最近的研究和开发以及应用的兴趣转移是从单用户链路到各种多用户环境，包括中继信道和网络。该项目的目标是开发新的工具（包括分析和数值），用于多用户（网络）MIMO系统的性能分析、优化和设计 协作环境。它将基于概率论（包括随机几何），渐近分析和凸优化的基本数学技术，除了成熟的和最近开发的通信和信息理论性质的工具。MIMO系统分析和优化的最新成果将扩展到现实信道/系统模型（例如，包括信道相关性，动态，估计不确定性等）下的协作多用户系统（例如，中继，认知无线电）。这还将包括资源分配和开发的解决方案/算法对系统/环境参数扰动的鲁棒性等问题。强大的 将使用凸优化的分析和数值工具（例如KKT条件、拉格朗日对偶、内点方法）。预计来自分析/优化的新见解将产生新的指导方针，用于系统设计和标准/政策制定。新的算法将提供更高的速率（或频谱效率）和服务质量，同时更节能和鲁棒。研究的一部分将致力于评估无处不在的无线系统对环境的影响。

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.