  In this work new achievable rates are derived, for the uplink channel of a
cellular network with joint multicell processing, where unlike previous
results, the ideal backhaul network has finite capacity per-cell. Namely, the
cell sites are linked to the central joint processor via lossless links with
finite capacity. The cellular network is abstracted by symmetric models, which
render analytical treatment plausible. For this idealistic model family,
achievable rates are presented for cell-sites that use compress-and-forward
schemes combined with local decoding, for both Gaussian and fading channels.
The rates are given in closed form for the classical Wyner model and the
soft-handover model. These rates are then demonstrated to be rather close to
the optimal unlimited backhaul joint processing rates, already for modest
backhaul capacities, supporting the potential gain offered by the joint
multicell processing approach. Particular attention is also given to the
low-SNR characterization of these rates through which the effect of the limited
backhaul network is explicitly revealed. In addition, the rate at which the
backhaul capacity should scale in order to maintain the original high-SNR
characterization of an unlimited backhaul capacity system is found.
