A randomized approach to the capacity of finite-state channels
Guangyue Han · 2013
Inspired by the ideas from the field of stochastic approximation, we propose a randomized algorithm to compute the capacity of a finite-state channel with a Markovian input. When the mutual information rate of the channel is concave with respect to the chosen parameterization, we show that, at least for some practical channels, the proposed algorithm will converge to the capacity almost surely.