Performance analysis of network coding with binary noisy channels and the application to optimal energy allocation

We investigate the sink bit error probability (BEP) performance of an intermediate node encoding network (coded network). The network consists of statistically independent binary noisy channels. We observe three situations in which network coding can affect the sink BEP. An error marking algorithm is used to calculate the number of erroneous bits (error weight) in the sinks. Then we can calculate the sink BEP from the channel BEPs. Finally, we investigate the optimal transmitted energy allocation within a BEP constraint network