CAREER: Information Theory Beyond Capacity

在过去的几十年里，前所未有的技术进步使信息论成为一个更加令人兴奋和重要的学科。现代世界充斥着遍布无线电、电线、光纤电缆和片上网络的信息流。然而，我们无法回答最基本的问题，例如延迟对多天线无线信道容量的影响，或者保护计算网络免受硅片制造中局部工艺变化的基本原理。因此，该项目的主要目的是在延迟约束无线通信的基本限制方面推进最先进的技术。计算无线通信中延迟约束的影响将允许评估当前使用的系统和行业标准的次优程度，并同样揭示新的和更高性能的无线系统。非渐近信息论的发展离不开对一般（非线性）图上的非香农信息测度及其数据处理性质的理解。该主题的进展有望为探索复杂信息处理系统提供所需的理论工具，包括非通信系统，如容错芯片和抗噪声电路。先进的逆向技术和基于图的数据处理将为信息论开辟新的领域，并有望重振多终端（网络）问题的逆向边界研究的进展。课程将通过网上资源、开放课程和MITx/edX广泛传播。现实世界通信系统的分析也为本科生提供了丰富的研究机会（urop）。有限块长度结果的普及同样有望对工业产生影响，特别是在与无线和时间关键通信相关的领域。编制的性能图表和延迟约束分析将指导下一代移动标准的设计，并有助于公平评估知识产权。

Unprecedented technological progress in the last decades makes information theory an ever more exciting and important discipline. The modern world is swarming with information streams pervading the radio, wires, fiber optic cables, and on-chip networks. Yet we are unable to answer the most basic questions such as the impact of delay on the capacity of multiple-antenna wireless channels, or the fundamental principles of protecting computation networks from local process variation in silicon chip fabrication. As such, the main purpose of this project is to advance the state-of-the-art in the fundamental limits of delay-constrained wireless communication. Computation of the impact of delay constraint in wireless communication will allow assessments of the degree of suboptimality of currently employed systems and industry standards, and likewise shed light on novel and higher-performing wireless systems.The progress on non-asymptotic information theory is inseparable from understanding of non-Shannon information measures and their data-processing properties on general (non-linear) graphs. The progress on this topic is expected to provide the theoretical tools required for exploration of complex information processing systems including non-communication ones, such as fault-tolerant chips and noise-resistant circuits. Advanced converse techniques and graph-based data-processing will open information theory to new fields and is expected to reinvigorate the progress in the converse bounds for multi-terminal (network) problems.The curriculum will be broadly disseminated through online resources, OpenCourseWare and MITx/edX. The analysis of real-world communication systems also presents a rich field for undergraduate research opportunities (UROPs). Popularizing finite blocklength results is likewise expected to have industrial impact, especially in areas related to wireless and time-critical communication. The compiled performance charts and delay-constrained analysis will guide the design of next-generation mobile standards and help in fair assessment of intellectual property.