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arxiv: cs/0511019 · v1 · submitted 2005-11-04 · 💻 cs.IT · math.IT

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

Young-Han Kim
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classification 💻 cs.IT math.IT
keywords capacitychannelconjectureconstraintcounterexamplecoverfeedbackgaussian
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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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