DocumentCode :
921521
Title :
On the \\epsilon -entropy of certain Gaussian processes
Author :
Binia, Jacob
Volume :
20
Issue :
2
fYear :
1974
fDate :
3/1/1974 12:00:00 AM
Firstpage :
190
Lastpage :
196
Abstract :
A condition on the eigenvalues of two Gaussian processes is given that is sufficient for the boundedness of the difference of their \\varepsilon -entropies. It is also proved that the difference between the \\varepsilon -entropies of two strongly equivalent Gaussian processes is bounded. The relation between the \\varepsilon -entropies of equivalent (or strongly equivalent) Gaussian processes is used for obtaining the asymptotic behavior (as \\varepsilon goes to zero) of the \\varepsilon -entropy of certain processes.
Keywords :
Entropy functions; Gaussian processes; Eigenvalues and eigenfunctions; Entropy; Extraterrestrial measurements; Fourier transforms; Gaussian processes; Mutual information; Space technology;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1974.1055203
Filename :
1055203
Link To Document :
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