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In recent years, network coding has been investigated as a method to obtain improvements in wireless networks. A typical assumption of previous work is that relay nodes performing network coding can decode the messages from sources perfectly. On a simple relay network, the authors design a scheme to obtain network coding gain even when the relay node cannot perfectly decode its received messages. In the scheme, the operation at the relay node resembles message passing in belief propagation, sending the Logarithm Likelihood Ratio (LLR) of the network coded message to the destination. Simulation results demonstrate the gain obtained over different channel conditions.
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