A wireless multi-hop network includes a source node, at least one relay node, and a destination node. Each relay node is configured to perform partial decoding on a received signal including at least one previous-hop transmission signal according to a predefined function to calculate a function signal for the at least one previous-hop transmission signal, and encode the function signal and transmit the encoded function signal to a next hop. A destination node includes a receiver configured to obtain a received signal comprising a combination of a plurality of transmission signals for transmission by a source node and to be relayed by at least one relay node, and a decoder configured to configure a decoder graph corresponding to channel coding by the source node and relay nodes and to joint-decode the received signal according to the decoder graph to detect information blocks from the received signal.