  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.
