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For a memoryless channel, although feedback cannot increase capacity, it can reduce the complexity and/or improve the error performance of a communication system. Recently, Shayevitz and Feder proposed the posterior matching scheme (PMS) which is a simple recursive transmission scheme that achieves the capacity of memoryless channels with feedback. Furthermore, Coleman provided a Lyapunov function...
In this paper, we derive a single-letter expression for the capacity of the finite-state channel (FSC) with delayed output and state feedback by formulating the problem in a stochastic control framework. The resulting capacity expression can be evaluated using dynamic programming. Although the considered channel is a special case of the one investigated by Tatikonda and Mitter, our approach is somewhat...
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