CIF: Small: A Space Dimension Approach for Wireless Netowrk Information Theory

CIF：小：无线网络信息理论的空间维度方法

• 批准号: 0916465
• 负责人: Massimo Franceschetti
• 金额: $ 26.23万
• 依托单位: University of California-San Diego
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-09-01 至 2013-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0916465&HistoricalAwards=false
• 关键词: CIF; Small; Space; Dimension; Approach

This project considers the physical limits of communication in a wireless network and how these limits can be achieved by communication protocols in an effective way. Specifically, it aims at determining the fundamental limits of the capacity of the network using an innovative approach based on physics, rather than postulating random propagation channel models. The project focuses on the characterization of the amount of spatial diversity that a wireless networks can provide, which is shown to be one of the central issues to determine its capacity. The spatial diversity is quantified in terms of the dimensionality of the propagating field, which is what carries the information through the network. Hence, drawing connections between information theory, functional analysis of continuous vector spaces, electromagnetic theory, and networks, the project aims at developing an information theory for wireless networks. The project considers different geometric configurations of wireless network, and determines their corresponding number of spatial degrees of freedom. It then considers both the effects of narrow-band and wide-band frequency transmission. Results are in terms of scaling laws, as well as capacity laws that are not asymptotic in the number of nodes in the network.

该项目考虑了无线网络中通信的物理限制，以及如何通过有效的方式通过通信协议来实现这些限制。具体而言，它旨在使用基于物理学的创新方法来确定网络能力的基本限制，而不是假设随机传播通道模型。该项目着重于无线网络可以提供的空间多样性量的表征，这被证明是确定其能力的核心问题之一。空间多样性是根据传播字段的维度来量化的，这是通过网络传递信息的方法。因此，在信息理论，连续向量空间，电磁理论和网络的功能分析之间建立联系，该项目旨在为无线网络开发信息理论。该项目考虑了无线网络的不同几何配置，并确定其相应的空间自由度数量。然后，它考虑了窄带和宽波段频率传输的影响。结果是根据缩放定律以及网络中节点数量渐近的能力定律。