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

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

2005-11-04

arxiv.org/abs/cs/0511019v1

Computer Science

Information Theory

2 pages, submitted to IEEE Transactions on Information Theory

Scientific paper

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., $C_\textrm{FB}(P) \le C(2P)$.

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