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.

翻译：在本文中,我们考虑对一系列可实现的比率和扭曲进行信息理论定性,在一系列广泛的多期通信情景中,采用普遍持续价值的源和渠道;提出一个框架,对源和渠道进行精细的分解,然后对由此形成的离散网络进行沟通;为了评估基本性能限制,在拟议的离散进程下提供了信息措施的趋同结果;利用这一框架,我们考虑点到点源编码,并用侧信息进行编码,在扭曲制约下分配源代码,功能重建问题(二帮助一),对多个接入通道进行计算,干扰通道,以及多解码源编码问题。我们为一般源和渠道制定类似拉特的编码,并产生内部界限,以在这些通信情景中设定可实现的速度和扭曲。