Evaluation framework for reconstruction of messages in cooperative coding schemes of multiple-sources and multiple-relays

In this paper, we consider a cooperative wireless network in which there are multiple sources and multiple relays. Owing to unreliable wireless channels, the network connections between nodes vary. This leads to the failure of intermediate nodes for generating linear combinations of incoming messages in network coding schemes. We propose an analytical framework to evaluate the performance of the reconstructing sources messages at the base station. To this end, we consider a random transmission matrix. We model each element of the transmission matrix as a random variable, and derive an upper bound for the reconstruction performance. The proposed framework provides an evaluation tool which allows us to investigate the impact of a large number of sources and relays as well as the field size of network codes on the system performance.