A Counterexample to Cover's<tex>$2P$</tex>Conjecture on Gaussian Feedback Capacity
نویسندگان
چکیده
منابع مشابه
A Counterexample to Cover's 2P Conjecture on Gaussian Feedback Capacity
We provide a counterexample to Cover’s conjecture that the feedback capacity CFB 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., CFB(P ) C(2P ). Index Terms|Additive Gaussian noise channels, channel capacity, conjecture, counterexample, feedback.
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Abstracl-The capacity of time-varying additive Gaussian noise cbannels with feedback is characterized. Toward this end, an asymptotic equipartition theorem for nonstationary Gaussian processes is proved. Then, with the aid of certain matrix inequalities, it is proved that the feedback capacity C,, in bits per transmission and the nonfeedback capacity C satisfy C 5 CFB < 2C (a result obtained by...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2006
ISSN: 0018-9448
DOI: 10.1109/tit.2006.878167