Communication Channel Capacity with Almost Gaussian Noise

Next article Communication Channel Capacity with Almost Gaussian NoiseV. V. PrelovV. V. Prelovhttps://doi.org/10.1137/1133068PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] C. E. Shannon, A mathematical theory of communication, Bell System Tech. J., 27 (1948), 379–423, 623–656 10,133e CrossrefGoogle Scholar[2] M. S. Pinsker, Masters Thesis, Fundamental Concepts in the Theory of Information Transmission, Diss. Doct. of Math.-Phys. Sciences, Inst. on Problems in Information Transmission, Moscow, 1963, (In Russian.) Google Scholar[3] B. S. Tsybakov, The capacity of a memoryless Gaussian vector channel, Problems Inform. Transmission, 1 (1965), Google Scholar[4] V. V. Prelov, Asymptotic behavior of the capacity of a continuous channel with large amount of noise, Problems Inform. Transmission, 6 (1970), 122–135 Google Scholar[5] R. G. Gallager, Information Theory and Reliable Communication, John Wiley, New York, 1968 Google Scholar[6] V. P. Leonov and , A. N. Shiryaev, On a method of calculating semi-invariants, Theory Probab. Appl., 4 (1959), 319–329 10.1137/1104031 LinkGoogle Scholar[7] V. V. Prelov, The asymptotic channel capacity of a continuous channel with small additive noise, Problems Inform. Transmission, 5 (1969), 23–27. Google Scholar[8] Thomas M. Cover, A. Viterbi, Some advances in broadcast channelsAdvances in communication systems, Vol. 4, Academic Press, New York, 1975, 229–260 58:15692 CrossrefGoogle Scholar[9] Aaron D. Wyner, Recent results in the Shannon theory, IEEE Trans. Information Theory, IT-20 (1974), 2–10 10.1109/TIT.1974.1055171 57:5430 0277.94009 CrossrefGoogle Scholar[10] T. Cover, Broadcast channels, IEEE Trans. Information Theory, IT-18 (1972), 2–14 10.1109/TIT.1972.1054727 52:12949 0228.94008 CrossrefGoogle Scholar[11] Patrick P. Bergmans, Random coding theorem for broadcast channels with degraded components, IEEE Trans. Information Theory, IT-19 (1973), 197–207 10.1109/TIT.1973.1054980 54:9846 CrossrefGoogle Scholar[12] Patrick P. Bergmans, A simple converse for broadcast channels with additive white Gaussian noise, IEEE Trans. Information Theory, IT-20 (1974), 279–280 10.1109/TIT.1974.1055184 50:16068 0305.94008 CrossrefGoogle Scholar[13] R. G. Gallager, Capacity and coding for certain broadcast channels, Problems. Inform. Transmission, 10 (1974), 184–193 Google Scholar[14] Thomas M. Cover and , Abbas A. El Gamal, Capacity theorems for the relay channel, IEEE Trans. Inform. Theory, 25 (1979), 572–584 10.1109/TIT.1979.1056084 81a:94030 0419.94004 CrossrefGoogle Scholar[15] Edward C. Van der Meulen, Three-terminal communication channels, Advances in Appl. Probability, 3 (1971), 120–154 47:10130 0232.94002 CrossrefGoogle Scholar[16] G. H. Hardy, , J. E. Littlewood and , G. Polya, Inequalities, Cambridge University Press, London, 1951 Google Scholar Next article FiguresRelatedReferencesCited byDetails Derivative of Mutual Information at Zero SNR: The Gaussian-Noise CaseIEEE Transactions on Information Theory, Vol. 57, No. 11 Cross Ref Information Theoretic Proofs of Entropy Power InequalitiesIEEE Transactions on Information Theory, Vol. 57, No. 1 Cross Ref Second-Order Asymptotics of Mutual InformationIEEE Transactions on Information Theory, Vol. 50, No. 8 Cross Ref Higher order asymptotics of mutual information for nonlinear channels with nongaussian noise Cross Ref Asymptotic Investigation of the Information Rates in Certain Stationary Channels with and without MemoryAmerican Journal of Mathematical and Management Sciences, Vol. 21, No. 1-2 Cross Ref Fifty years of Shannon theoryIEEE Transactions on Information Theory, Vol. 44, No. 6 Cross Ref Asymptotic Expansion For The Capacity Region Of The Multiple-access Channel With Common Information And Almost Gaussian Noise Cross Ref An Asymptotic Expression For The Capacity Region Of The Two-way Communication Channel With Additive Almost Gaussian Noise Cross Ref Volume 33, Issue 3| 1989Theory of Probability & Its Applications History Submitted:03 November 1986Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1133068Article page range:pp. 405-422ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics