Title :
A Counterexample to Cover\´s

Conjecture on Gaussian Feedback Capacity
Author_Institution :
Inf. Syst. Lab., Stanford Univ., CA
Abstract :
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) les C(2P)
Keywords :
AWGN channels; channel capacity; feedback; Cover 2P conjecture; additive Gaussian noise channel; feedback capacity; power constraint; Additive noise; Channel capacity; Equations; Gaussian channels; Gaussian noise; Information systems; Information theory; Output feedback; Upper bound; Additive Gaussian noise channels; channel capacity; conjecture; counterexample; feedback;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.878167