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

Abstract

We provide a counterexample to Cover's conjecture that the feedback capacity $C_{\text{FB}}$ 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., $C_{\text{FB}}(P)\le C(2P)$.

2 pages, submitted to IEEE Transactions on Information Theory

Cited by in corpus (2)

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