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In this paper, we consider the uplink of cell-free massive MIMO systems,where a large number of distributed single antenna access points (APs) serve amuch smaller number of users simultaneously via limited backhaul. For the firsttime, we investigate the performance of compute-and-forward (C&F) in such anultra dense network with a realistic channel model (including fading, pathlossand shadowing). By utilising the characteristic of pathloss, a low complexitycoefficient selection algorithm for C\&F is proposed. We also give a greedy APselection method for message recovery. Additionally, we compare the performanceof C&F to some other promising linear strategies for distributed massive MIMO,such as small cells (SC) and maximum ratio combining (MRC). Numerical resultsreveal that C&F not only reduces the backhaul load, but also significantlyincreases the system throughput for the symmetric scenario.

Compute-and-Forward in Cell-Free Massive MIMO: Great Performance with Low Backhaul Load