CAREER: MIMO Fading in Links, Cells, and Networks: Coding and Information Theoretic Challenges

我们正处于一场新的无线革命之中，这是由消费者、军事、科学和无线应用采用无线网络所带来的。这场革命提出了令人兴奋的新的挑战，由于显着偏离传统的加性白色高斯噪声信道的范例。近年来，天线分集技术因其在多输入多输出（MIMO）衰落信道下的显著信息增益而受到广泛关注。1）建立了一种适用于点到点MIMO衰落信道的统一代数编码理论; 2）建立了适用于蜂窝MIMO信道的联合编码调度算法;以及3）开发用于ad-hoc MIMO信道的协作（即天线共享）方案。第一个研究方向是在代数和空时编码的不同分支之间建立桥梁。这两个领域之间的交叉施肥预计将引入有用的代数工具，在空间时间编码的研究和制定新的问题可能感兴趣的数学研究界。第二和第三个推力将提高蜂窝和ad-hoc MIMO信道的信息和编码理论基础的理解。该教育计划旨在让学生接触无线通信的最新技术，并为未来的学术工作和前沿工业职位提供所需的全面培训。

We are in the midst of a new wireless revolution, brought on bythe adoption of wireless networks for consumer, military,scientific, and wireless applications. This revolution presents exciting newchallenges due to the marked departure from the traditionaladditive white Gaussian noise channel paradigm. Recently, antenna diversity techniques havereceived considerable attention due to the significant informationtheoretic gains promised for multi-input-multi-output (MIMO)fading channels.Our research can be broadly categorized in three mainthrusts: 1) Developing a unified algebraic coding theory forpoint-to-point MIMO fading channels, 2) Developing joint coding andscheduling algorithms for cellular MIMO channels, and 3)Developing cooperative (i.e. antenna sharing) schemes forad-hoc MIMO channels. The first research thrust willdevelop bridges between different branches in Algebra andspace-time coding. The cross fertilization between these two areasis expected to introduce useful algebraic tools in space-timecoding research and formulate new problems of possible interest tothe mathematical research community. The second and third thrusts willenhance the understanding of the information and coding theoretic foundationsof cellular and ad-hoc MIMO channels. The educationplan aims to expose students to the state of the art in wirelesscommunications and provide the well-rounded training needed forboth future academic jobs and leading-edge industrial positions.