A method including transmitting a binary vector from a source node to a relay node and receiving a signal vector at the relay node. The method also includes compressing the signal at the relay node by multiplying the signal with a matrix using probabilities and converting output probabilities from the multiplying into retransmission signal amplitudes, the signal amplitude depending not only on a probability of a bit but on a transmission power constraint at the relay node. The method also includes transmitting, by the relay node, estimates of information from the source node to a destination node.