On the capacity of certain additive non-Gaussian channels

Author

Binia, Jacob

Volume

Issue

fYear

1979

fDate

7/1/1979 12:00:00 AM

Firstpage

448

Lastpage

452

Abstract

A model of an additive non-Gaussian noise channel with generalized average input energy constraint is considered. The asymptotic channel capacity $C_{\\zeta }(S)$ , for large signal-to-noise ratio $S$ , is found under certain conditions on the entropy $H_{ \\tilde{ \\zeta }}( \\zeta )$ of the measure induced in function space by the noise process $\\zeta$ , relative to the measure induced by $\\tilde{\\zeta }$ , where is a Gaussian process with the same covariance as that of $\\zeta$ . If $H_{ \\tilde{\\zeta }}( \\zeta ) < \\infty$ and the channel input signal is of dimension $M< \\infty$ , then $C_{ \\zeta }(S)= frac{1}{2}M \\ln(1 + S/M) + Q_{\\zeta }( M ) + {o}(1)$ , where $0 \\leq Q_{ \\zeta }( M ) \\leq H_{ \\tilde{ \\zeta }}( \\zeta )$ . If the channel input signal is of infinite dimension and $H_{ \\tilde{ \\zeta }}( \\zeta ) \\rightarrow 0$ for $S \\rightarrow \\infty$ , then $C_{ \\zeta }(S) = frac{1}{2}S+{o}(1)$ .

Keywords

Information rates; Additive noise; Channel capacity; Eigenvalues and eigenfunctions; Entropy; Extraterrestrial measurements; Gaussian channels; Gaussian noise; Gaussian processes; Noise measurement; Stochastic processes;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.1979.1056075

Filename

1056075

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=930461