A Counterexample to Cover's 2P Conjecture on Gaussian Feedback Capacity

Young-Han Kim

doi:10.1109/TIT.2006.878167

A Counterexample to Cover's 2P Conjecture on Gaussian Feedback Capacity

Information Theory 2016-11-17 v1 math.IT

Authors: Young-Han Kim

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Abstract

We provide a counterexample to Cover's conjecture that the feedback capacity $C_\textrm{FB}$ of an additive Gaussian noise channel under power constraint $P$ be no greater than the nonfeedback capacity $C$ of the same channel under power constraint $2P$ , i.e., $C_\textrm{FB}(P) \le C(2P)$ .

Keywords

channel capacity

Cite

@article{arxiv.cs/0511019,
  title  = {A Counterexample to Cover's 2P Conjecture on Gaussian Feedback Capacity},
  author = {Young-Han Kim},
  journal= {arXiv preprint arXiv:cs/0511019},
  year   = {2016}
}

Comments

2 pages, submitted to IEEE Transactions on Information Theory

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