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

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    We provide a counterexample to Cover's conjecture that the feedback capacity CFBC_\textrm{FB} of an additive Gaussian noise channel under power constraint PP be no greater than the nonfeedback capacity CC of the same channel under power constraint 2P2P, i.e., CFB(P)≀C(2P)C_\textrm{FB}(P) \le C(2P).Comment: 2 pages, submitted to IEEE Transactions on Information Theor
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