论文标题
线性代码的晶格：源和频道网络
Lattices from Linear Codes: Source and Channel Networks
论文作者
论文摘要
在本文中，我们考虑了与一般连续价值的来源和渠道的一系列多端通信场景中可实现的速率和扭曲集的信息理论表征。提出了一个框架，该框架涉及源和通道变量的精细离散化，然后在由此产生的离散网络上进行通信。为了评估基本绩效限制，在拟议的离散过程中提供了有关信息度量的收敛结果。使用此框架，我们考虑点对点源编码和带有侧面信息的通道编码，具有失真约束的分布式源编码，函数重建问题（两个螺旋一个），多个访问通道上的计算，干扰通道和多描述源编码问题。我们为通用来源和渠道构建类似晶格的代码，并在这些通信方案中为可达到的速率和扭曲而得出内部限制。
In this paper, we consider the information-theoretic characterization of the set of achievable rates and distortions in a broad class of multiterminal communication scenarios with general continuous-valued sources and channels. A framework is presented which involves fine discretization of the source and channel variables followed by communication over the resulting discretized network. In order to evaluate fundamental performance limits, convergence results for information measures are provided under the proposed discretization process. Using this framework, we consider point-to-point source coding and channel coding with side-information, distributed source coding with distortion constraints, the function reconstruction problems (two-help-one), computation over multiple access channel, the interference channel, and the multiple-descriptions source coding problem. We construct lattice-like codes for general sources and channels, and derive inner-bounds to set of achievable rates and distortions in these communication scenarios.
