Lattices from Linear Codes: Source and Channel Networks

The paper addresses the fundamental information theoretic limits — in terms of achievable rates and distortions — in a broad class of multiterminal communication scenarios with general continuous-valued sources and channels. A general 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 under the proposed discretization process, convergence results for information measures are provided. The framework is used to study the distributed source coding in source coding, as well as the computation over multiple access channels in channel coding. In each case, a communication scheme is presented, the resulting achievable region is derived, and the region is evaluated for Gaussian sources and channels.