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

Kenjiro Yanagi, Hanwu Chen

doi:10.1109/18.746831

Description

We consider the upper bounds of the finite blocklength capacity C/sub n,FB/(P) of the discrete time Gaussian channel with feedback. We also let C/sub n/(p) be the nonfeedback capacity. We prove the relations C/sub n/(P)/spl les/C/sub n,FB/(P)/spl les/C/sub n/(/spl alpha/P)+ 1/2 ln(1+1//spl alpha/) and C/sub n/(P)/spl les/C/sub n,FB/(P)/spl les/(1+1//spl alpha/)C/sub n/(/spl alpha/P) for any P>0 and any /spl alpha/>0, which induce the half-bit and factor-of-two bounds given by Cover and Pombra (1989) in the special case of /spl alpha/=1.

Journal

IEEE Transactions on Information Theory

IEEE Transactions on Information Theory 45 319-325, 1999-01-01

Institute of Electrical and Electronics Engineers (IEEE)

Details 詳細情報について

CRID: 1874242817202377984

DOI: 10.1109/18.746831

ISSN: 00189448

Data Source

OpenAIRE

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