The zero-undetected-error capacity of discrete memoryless channels with feedback

@article{Bunte2012TheZC,
  title={The zero-undetected-error capacity of discrete memoryless channels with feedback},
  author={Christoph Bunte and Amos Lapidoth},
  journal={2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton)},
  year={2012},
  pages={1838-1842}
}
We show that the zero-undetected-error capacity (a.k.a. erasures-only capacity and zero-error erasure capacity) of a discrete memoryless channel with feedback is equal to its ordinary capacity whenever its zero-undetected-error capacity without feedback is positive, i.e., whenever it has an output that is reachable from some but not all inputs, and that otherwise its zero-undetected-error capacity is zero. We then show that feedback can increase the zero-undetected-error capacity. Finally, the… CONTINUE READING

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