A Counterexample to Cover's 2P Conjecture on Gaussian Feedback Capacity
<|reference_start|>A Counterexample to Cover's 2P Conjecture on Gaussian Feedback Capacity: 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., $C_\textrm{FB}(P) \le C(2P)$.<|reference_end|>
@article{kim2005a,
    title={A Counterexample to Cover's 2P Conjecture on Gaussian Feedback Capacity},
    author={Young-Han Kim},
    journal={arXiv preprint arXiv:cs/0511019},
    year={2005},
    doi={10.1109/TIT.2006.878167},
    archivePrefix={arXiv},
    eprint={cs/0511019},
    primaryClass={cs.IT math.IT}
}