Markov Chain and Markov-Poison Distribution over a Noisy Communication Channel: A Survey

The strive for finite-dimensional sufficient statistics for the encoders with noiseless channels and perfect memory at the receiver is the main research area today. This is also extended in the direction to find the structure of optimal real-time encoders. So the optimality of an encoder with less noise generation input can generates the better received signals and the current state. So that the previous states are not to be skipped. In the above steps Markov Chain and Poison Distribution can be helpful. So this paper main aim is to highlight the use of these methods to make a better system over a noisy communication channel.