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The authors introduce a generalized two-way relay channel where two sources exchange information (not necessarily of the same rate) with help from a relay, and each source additionally sends private information to the relay. They consider the Gaussian setting where all point-to-point links are Gaussian channels. For this channel, they consider a two-phase protocol consisting of a Multiple Access Channel (MAC) phase and a Broadcast Channel (BC) phase. They propose a general Decode-and-Forward (DF) scheme where the MAC phase is related to computation over MAC, while the BC phase is related to BC with receiver side information. In the MAC phase, they time share a capacity-achieving code for the MAC and a superposition code with a lattice code as its component code.
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