CAREER: Information Transmission and Optimal Estimation: Fundamentals and Applications

职业：信息传输和最优估计：基础知识和应用

• 批准号: 0644344
• 负责人: Dongning Guo
• 金额: $ 40万
• 依托单位: Northwestern University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-02-01 至 2013-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0644344&HistoricalAwards=false
• 关键词: CAREER; Information; Transmission; Optimal; Estimation

Communication technology is a major driving force for advances in the modern society. The fundamental problem of communication is on one hand a problem of signal detection and estimation, and on the other a problem of efficient information representation and transmission.Regarding information theory and estimation theory as two sides of the same coin, this research systematically explores the fundamental relationship between the two theories, and studies their application to the design and optimization of future wired, wireless and optical communication systems.This research is divided into two parts. Part I is inspired by fundamental formulas which relate the mutual information and estimation errors in Gaussian and Poisson channels. The investigators study the operational meaning and generalizations of the formulas; their application to information inequalities; and the general role of estimation in efficient information transmission through time-varying channels. Part II of the research is concerned with communication systems which explore spaces of increasingly high dimensions for efficiency (e.g., in coding, spreading, multiplexing). The research is inspired by heuristic results (via statistical physics) which show that the multiple dimensions of the input signal to a linear system decouple asymptotically. Equipped with rigorous techniques developed for sparse systems, a series of conjectured generalizations of the decoupling result are studied, as well as the self-averaging phenomenon of large systems, which is related to the asymptotic equipartition property in information theory. The program also includes training students in research and broadening the scope of information science curricula at Northwestern.

通信技术是现代社会进步的主要推动力。 通信的基本问题一方面是信号的检测和估计问题，另一方面是信息的有效表示和传输问题，本研究将信息论和估计论视为同一枚硬币的两面，系统地探讨了两者之间的基本关系，并研究了它们在未来有线、无线通信系统设计和优化中的应用。无线和光通信系统。本研究分为两个部分。 第一部分的灵感来自基本公式，涉及高斯和泊松信道中的互信息和估计误差。 调查研究的业务意义和概括的公式;他们的应用信息不平等;和一般的作用，通过时变信道的有效信息传输的估计。 研究的第二部分涉及通信系统，该系统探索越来越高维度的空间以提高效率（例如，在编码、扩频、复用中）。 启发式的结果（通过统计物理学）表明，输入信号的多维线性系统的渐近解耦的启发式结果的研究。 利用稀疏系统的严格技巧，研究了解耦结果的一系列严格推广，以及与信息论中的渐近均分性质有关的大系统的自平均现象. 该计划还包括培训学生的研究和扩大西北信息科学课程的范围。