On Statistics of the Reflection Coefficient of a Dissipative Multiwave Transmission Line with Random Section Lengths

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Previous article Next article On Statistics of the Reflection Coefficient of a Dissipative Multiwave Transmission Line with Random Section LengthsM. Kh. Zakhar-ItkinM. Kh. Zakhar-Itkinhttps://doi.org/10.1137/1118030PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] M. Kh. Zakhar-Itkin, A multi-wave transmission line with random inhomogeneities and Brownian motion in Siegel's circle, Theory Prob. Applications, 15 (1970), 282–294 10.1137/1115033 0227.60041 LinkGoogle Scholar[2] M. Kh. Zakhar-Itkin, On a class of boundary-value problems having application in the theory of multiwave transmission lines, Uspekhi Mat. Nauk, XXV (1970), 241–242, (In Russian.) 0233.34025 Google Scholar[3] M. Kh. Zakhar-Itkin, Investigation of matrix telegraph equations describing wave propagation in multi-conductor irregular electrical transmission lines, Elektrichestvo, 2 (1969), 60–69, (In Russian.) Google Scholar[4] J. R. Carson, Wave propagation in overhead wires with ground return, Bell System Tech. J., 5 (1926), 539–554 CrossrefGoogle Scholar[5] F. R. Gantmacher, The theory of matrices. Vols. 1, 2, Translated by K. A. Hirsch, Chelsea Publishing Co., New York, 1959Vol. 1, x+374 pp. Vol. 2, ix+276 MR0107649 Google Scholar[6] I. M. Gel'fand and , O. V. Lokutsievskii, S. K. Godunov and , V. S. Ryaben'kii, The method of splitting for solving difference equationsTheory of Difference Schemes, An Introduction, Interscience Publishers, New York, 1964, Appendix 2 Google Scholar[7] M. Kh. Zakhar-Itkin, Multimode transmission line noises and summation of random vectors, Theory Prob. Applications, 16 (1971), 556–559 10.1137/1116063 0249.62093 LinkGoogle Scholar[8] M. Kh. Zakhar-Itkin and , A. A. Frolkin, Errors in measurements of high frequency parameters at the input of an electrical transmission line, Elektrichestvo, 9 (1972), 90–91, (In Russian.) Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Summary of Papers Presented at Sessions of the Probability and Statistics Seminar in the Mathematical Institute of the USSR Academy of Sciences, 197717 July 2006 | Theory of Probability & Its Applications, Vol. 23, No. 2AbstractPDF (1959 KB)The Structure of the Fundamental Matrix of a System of Coupled-Mode EquationsS. V. Reznichenko17 July 2006 | Theory of Probability & Its Applications, Vol. 22, No. 2AbstractPDF (1204 KB)Investigation of a System fo Coupled-Mode Equations with Small Random PerturbationsS. V. Reznichenko17 July 2006 | Theory of Probability & Its Applications, Vol. 22, No. 1AbstractPDF (405 KB) Volume 18, Issue 2| 1974Theory of Probability & Its Applications History Submitted:10 December 1971Published online:17 July 2006 InformationCopyright © 1974 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1118030Article page range:pp. 281-294ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics