Performance of network coded cooperation over the Gaussian channel in which multiple communication nodes send each one's message to a common destination is analyzed. The nodes first broadcast the message, and subsequently relay the XOR of subset of decoded messages to the destination. The received vector at the destination can be equivalently regarded as the output of a point-to-point channel, except that the underlying codes are drawn probabilistically and symbol errors may occur before transmission of a codeword. We analyze the error performance of this system from coding theoretic viewpoint.

Adaptive network coded cooperation (ANCC) scheme may have excellent performance for data transmission from a large collection of terminals to a common destination in wireless networks. However, the random relay selection strategy for ANCC protocol may generate the distributed low-density parity-check (LDPC) codes with many short cycles which may cause error floor and performance degradation. In this paper, an optimized relay selection strategy for ANCC is proposed. Before data communication, by exploiting low-cost information interaction between the destination and terminals, the proposed method generates good assembles of distributed LDPC codes and its storage requirement reduces dramatically. Simulation results demonstrate that the proposed relay selection protocol significantly outperforms the random relay selection strategy.