Factor-of-two Bound for Capacity in Gaussian Channel with Feedback and Cover’s Conjecture
نویسندگان
چکیده
We consider the upper bounds of the finite block length capacity Cn,FB(P ) of the discrete time Gaussian channel with feedback. We prove the refinements of relations Cn(P ) ≤ Cn,FB(P ) ≤ Cn(P ) + 1 2 and Cn(P ) ≤ Cn,FB(P ) ≤ 2Cn(P ), which are given by Cover and Pombra. And we prove the relation C2(P ) ≤ C2,FB(P ) < C2(2P ), which is a partial solution of the conjecture given by Cover.
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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