Inverse Compute-and-Forward: Extracting Messages From Simultaneously Transmitted Equations
The authors consider the transmission of independent messages over a Gaussian relay network with interfering links. Using the compute-and-forward framework, relays can efficiently decode equations of the transmitted messages. The relays can then send their collected equations to the destination, which solves for its desired messages. Here, they study a special case of the inverse compute-and-forward problem: transmitting the equations to a single destination over a multiple-access channel. They observe that if the underlying messages have unequal rates, the set of possible values of an equation is constrained by the value of the other equations.