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Refinements of the half-bit and factor-of-two bounds for capacity in Gaussian channel with feedback

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2 Author(s)
Chen, H.W. ; Graduate Sch. of Sci. & Eng., Yamaguchi Univ., Ube, Japan ; Yanagi, K.

We consider the upper bounds of the finite blocklength capacity C n,FB(P) of the discrete time Gaussian channel with feedback. We also let Cn(p) be the nonfeedback capacity. We prove the relations Cn(P)⩽Cn,FB(P)⩽Cn (αP)+½ln(1+1/α) and Cn(P)⩽Cn,FB(P)⩽(1+1/α)Cn (αP) for any P>0 and any α>0, which induce the half-bit and factor-of-two bounds given by Cover and Pombra (1989) in the special case of α=1

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Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 1 )