CIF: Small: Degree of Freedom Region of Interference Networks

CIF：小：干扰网络的自由度区域

• 批准号: 1218951
• 负责人: Zhengdao Wang
• 金额: $ 10万
• 依托单位: Iowa State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-07-01 至 2014-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1218951&HistoricalAwards=false
• 关键词: CIF; Small; Degree; Freedom; Region

For point-to-point communications, channel capacity is very wellunderstood, and there are schemes that approach the capacity formost useful channel models. In contrast, the multi-user communication channelsare not as well understood. The channel models are more complicated, there aremore varieties, and many important problems remain open. As one well-knownexample, the capacity problem for discrete memoryless broadcast channel isstill unsettled. As another example, the interference channel capacity regionis known only in certain special cases (such as strong interference). What isclear from the recent studies of such channels is that in a multi-userwireless network, the key performance limiting factor is often the interference rather than the noise, especially at high signal-to-noise ratio.To alleviate this difficulty, the notion of degrees of freedom has been used asa first order characterization of the system throughput as normalized by thelogarithm of the signal to noise ratio. The total degrees of freedom ofseveral interference networks have been quantified. On the other hand, thedegrees of freedom region, which is more revealing than the total degrees offreedom, is much less well understood. For most of the interference networks,the regions remain unknown.This project seeks to quantify the degree of freedom regions of aclass of general interference networks with multiple transmit nodes andmultiple receive nodes, possibly equipped with multiple antennas, and withgeneral message demands. In particular, we will study the X interferencenetwork, which include interference channels, broadcast channels, multipleaccess channels, as special cases. Through interference alignment design basedon vector and rational independence, we will bound tightly the degrees offreedom region and devise schemes that are optimal (or near-optimal) in thedegree-of-freedom sense.Broader Impact: The project will advance significantly our understanding ofinterference networks, and positively impact the design, architecture, andsignal design and processing for next generation wireless networks. Theproject will also help train the next generation of researchers and engineersin the field of signal processing and communication networks.

对于点对点通信，信道容量是非常容易理解的，并且存在接近大多数有用信道模型的容量的方案。相比之下，多用户通信渠道还没有被很好地理解。渠道模式更加复杂，品种更多，许多重要问题仍然悬而未决。作为一个众所周知的例子，离散无记忆广播频道的容量问题仍未解决。又例如，干扰信道容量区域仅在某些特殊情况（例如强干扰）下才已知。从最近对此类信道的研究中可以清楚地看出，在多用户无线网络中，关键的性能限制因素通常是干扰而不是噪声，特别是在高信噪比的情况下。为了缓解这一困难，自由度的概念已被用作系统吞吐量的一阶表征，系统吞吐量由信噪比的对数归一化。对几种干扰网络的总自由度进行了量化。另一方面，自由度区域比总自由度更具启发性，但人们对它的了解却少得多。对于大多数干扰网络来说，这些区域仍然是未知的。该项目旨在量化一类具有多个发送节点和多个接收节点、可能配备多个天线并具有一般消息需求的一般干扰网络的自由度区域。特别是，我们将研究X干扰网络，其中包括干扰信道、广播信道、多址信道，作为特例。通过基于矢量和理性独立性的干扰对齐设计，我们将紧密束缚自由度区域，并设计出在自由度意义上最优（或接近最优）的方案。 更广泛的影响：该项目将显着增进我们对干扰网络的理解，并对下一代无线网络的设计、架构以及信号设计和处理产生积极影响。该项目还将帮助培训信号处理和通信网络领域的下一代研究人员和工程师。