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We study the generalized degrees-of-freedom (GDoF) of cellular networks underfinite precision channel state information at the transmitters (CSIT). Weconsider downlink settings modeled by the interfering broadcast channel (IBC)under no multi-cell cooperation, and the overloadedmultiple-input-single-output broadcast channel (MISO-BC) under full multi-cellcooperation. We focus on three regimes of interest: the mc-TIN regime, where ascheme based on treating inter-cell interference as noise (mc-TIN) was shown tobe GDoF optimal for the IBC; the mc-CTIN regime, where the GDoF regionachievable by mc-TIN is convex without the need for time-sharing; and themc-SLS regime which extends a previously identified regime, where a simplelayered superposition (SLS) scheme is optimal for the 3-transmitter-3-userMISO-BC, to overloaded cellular-type networks with more users thantransmitters. We first show that the optimality of mc-TIN for the IBC extendsto the entire mc-CTIN regime when CSIT is limited to finite precision. Theconverse proof of this result relies on a new application of aligned imagesbounds. We then extend the IBC converse proof to the counterpart overloadedMISO-BC, obtained by enabling full transmitter cooperation. This, in turn, isutilized to show that a multi-cell variant of the SLS scheme is optimal in themc-SLS regime under full multi-cell cooperation, albeit only for 2-cellnetworks. The overwhelming combinatorial complexity of the GDoF region standsin the way of extending this result to larger networks. Alternatively, weappeal to extremal network analysis, recently introduced by Chan et al., andstudy the GDoF gain of multi-cell cooperation over mc-TIN in the three regimesof interest. We show that this extremal GDoF gain is bounded by small constantsin the mc-TIN and mc-CTIN regimes, yet scales logarithmically with the numberof cells in the mc-SLS regime.

Cellular Networks With Finite Precision CSIT: GDoF Optimality of Multi-Cell TIN and Extremal Gains of Multi-Cell Cooperation