Subspace Coding for Error Control and Interference Mitigation in Routing Solutions with Cooperative Destination Nodes

Abstract: Random Linear Network Coding (RLNC) is a transmission scheme that opts for linear combinations of the transmitted packets at a subset of the intermediate nodes. This scheme is usually considered when Network Coding (NC) is desired over non-coherent networks. In order to integrate error correction in RLNC, subspace codes have been proposed. The codewords in those codes are unchanged under rank-preserving row operations, making them convenient for RLNC. In this paper, we investigate the use of those codes for the interference channel in a system model consisting of an array of SISO communication systems with cooperative destination nodes. This system model is deemed as a simplified model of a network with a routing based transmission scheme. Results have indicated that the use of subspace codes have allowed for better performance in terms of the decoding failure probability.