DocumentCode :
930461
Title :
On the capacity of certain additive non-Gaussian channels
Author :
Binia, Jacob
Volume :
25
Issue :
4
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 :
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