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We consider a low-complexity version of the Compute and Forward scheme thatinvolves only scaling, offset (dithering removal) and scalar quantization atthe relays. The proposed scheme is suited for the uplink of a distributedantenna system where the antenna elements must be very simple and are connectedto a oint processor via orthogonal perfect links of given rate R0. We considerthe design of non-binary LDPC codes naturally matched to the proposed scheme.Each antenna element performs individual (decentralized) Belief Propagationdecoding of its own quantized signal, and sends a linear combination of theusers' information messages via the noiseless link to the joint processor,which retrieves the users' messages by Gaussian elimination. The complexity ofthis scheme is linear in the coding block length and polynomial in the systemsize (number of relays).

Quantized Compute and Forward: A Low-Complexity Architecture for Distributed Antenna Systems