We develop a cooperative decode-and- forward strategy of distributed Source-Relay network cod- ing for a three-node relay model, in which Relay and Source both send their own messages to Destination. First, we present a cooperative communication protocol to achieve decode-and-forward capacity by leveraging trans- mit rates between Source and Relay and designing dis- tributed Source-Relay network coding accordingly. After- wards, multi-dimension Low-density parity-check (LDPC) code is constructed as a layered structure, where Source LDPC, Relay LDPC, and network LDPC code are organi- cally integrated to realize a distributed design. Our design randomly embeds network-coded message into the layered structure as e®ective extra checks o®ering side informa- tion for both Source and Relay. Based on derivation of the algebraic relationship between constituent codes, a good multi-dimension LDPC code pro¯le is generated. Mean- while, network coding complexity maintains linear to the block length. The coding scheme is demonstrated to ap- proach decode-and-forward capacity and still provides ef- fective spatial diversity.
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