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中，这场革命是由消费者、军事、科学和无线应用采用无线网络所引发的。这场革命提出了令人兴奋的新挑战，因为它明显背离了传统的加性高斯白噪声信道范例。近年来，多输入多输出(MIMO)衰落信道下的天线分集技术受到了广泛的关注。我们的研究工作大致可归结为三个主要方面：1)为点对点MIMO衰落信道建立统一的代数编码理论；2)为蜂窝MIMO信道开发联合编码和调度算法；3)为自组织MIMO信道开发协作(即天线共享)方案。第一个研究重点是在代数和空时编码的不同分支之间建立联系的桥梁。这两个领域的交叉受精有望在时空编码研究中引入有用的代数工具，并提出数学研究界可能感兴趣的新问题。第二次和第三次推进将增强对蜂窝和自组织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最先进的无线通信技术，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.