Finite State Channels With Time-Invariant Deterministic Feedback

@article{Permuter2006FiniteSC,
  title={Finite State Channels With Time-Invariant Deterministic Feedback},
  author={Haim H. Permuter and Tsachy Weissman and Andrea J. Goldsmith},
  journal={IEEE Transactions on Information Theory},
  year={2006},
  volume={55},
  pages={644-662}
}
We consider capacity of discrete-time channels with feedback for the general case where the feedback is a time-invariant deterministic function of the output samples. Under the assumption that the channel states take values in a finite alphabet, we find a sequence of achievable rates and a sequence of upper bounds on the capacity. The achievable rates and the upper bounds are computable for any N, and the limits of the sequences exist. We show that when the probability of the initial state is… 

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