%0 Journal Article %T A Counterexample to Cover's 2P Conjecture on Gaussian Feedback Capacity %A Young-Han Kim %J Mathematics %D 2005 %I arXiv %X 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., $C_\textrm{FB}(P) \le C(2P)$. %U http://arxiv.org/abs/cs/0511019v1