Optimizing transmission rate in BSC model-based Middleton Class-A noise impaired channel with transceiver side information

This paper introduces a Binary Symmetric Channel (BSC) model, which leads to a simple and practical representation for channels corrupted by the Middleton Class-A impulse noise, such as Powerline communication channels. The proposed BSC channel is based on a variable transition probability according to a Poisson distribution. The average transition probability, which provides insight into the error rate, as well as the capacity bounds for this channel are analyzed in all cases of informed and non-informed transmitter and/or receiver. Particularly, an achievable transmission rate is determined in case of informed transmitter by proposing a suboptimum solution that involves employing a variable transmitted energy, proportional to the known noise variance. Analytical formulation of the achievable rate and simulation results in case of a binary Frequency Shift Keying communication system allow to conclude that the channel state information at the receiver side is helpful when the transmitter is non-informed and uses a fixed transmitted energy. However, it no longer contributes to significant performance enhancement when the transmitter is informed.