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The capacity of finite-State Markov Channels With feedback

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2 Author(s)
Jun Chen ; Sch. of Electr. & Comput. Eng., Cornell Univ., Ithaca, NY, USA ; Berger, T.

We consider a class of finite-state Markov channels with feedback. We first introduce a simplified equivalent channel model, and then construct the optimal stationary and nonstationary input processes that maximize the long-term directed mutual information. Furthermore, we give a sufficient condition under which the channel's Shannon capacity can be achieved by a stationary input process. The corresponding converse coding theorem and direct coding theorem are proved.

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Information Theory, IEEE Transactions on  (Volume:51 ,  Issue: 3 )