Alpha-stable channel capacity

Alpha-stable distributions have found various applications in the literature especially in modelling impulsive noise in communications channels. Despite various schemes for receiver design under alpha-stable noise, the channel coding problem has not been addressed yet. In this letter, we develop the channel capacity for the alpha-stable channels both for the symmetric and the skewed cases and provide numerical bounds for its lossy coding performance. Blahut-Arimoto algorithm is used to calculate the capacity of alpha-stable channel and its efficiency is demonstrated.