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Teoriya Veroyatnostei i ee Primeneniya, 1973, Volume 18, Issue 2, Pages 289–302 (Mi tvp4233)  
This article is cited in 5 scientific papers (total in 5 papers)

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

M. H. Zakhar-Itkin

Moscow
Full-text PDF (2477 kB) Citations (5)
Abstract: The reflection coefficient is considered as a solution of a Cauchy boundary problem for a matrix Riccati differential equation. Variating of the Riccati equation leads to its linearization and permits to obtain the variation of the matrix reflection coefficient as a function of the variation of the real section length. A notion of dissipativity for the reflection coefficient is introduced. Under the dissipativity condition, statistical properties of the solution of the matrix Riccati differential equation are analyzed. The results obtained are compared with known theorems for non-dissipative transmission lines and with data of computer simulation for real transmission lines.
Received: 10.12.1971
English version:
Theory of Probability and its Applications, 1973, Volume 18, Issue 2, Pages 281–294
DOI: https://doi.org/10.1137/1118030
Bibliographic databases:
Language: Russian
Citation: M. H. Zakhar-Itkin, “On Statistics of the Reflection Coefficient of a Dissipative Multiwave Transmission Line with Random Section Lengths”, Teor. Veroyatnost. i Primenen., 18:2 (1973), 289–302; Theory Probab. Appl., 18:2 (1973), 281–294
Citation in format AMSBIB
\Bibitem{Zak73}
\by M.~H.~Zakhar-Itkin
\paper On Statistics of the Reflection Coefficient of a Dissipative Multiwave Transmission Line with Random Section Lengths
\jour Teor. Veroyatnost. i Primenen.
\yr 1973
\vol 18
\issue 2
\pages 289--302
\mathnet{http://mi.mathnet.ru/tvp4233}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=319465}
\zmath{https://zbmath.org/?q=an:0302.60068}
\transl
\jour Theory Probab. Appl.
\yr 1973
\vol 18
\issue 2
\pages 281--294
\crossref{https://doi.org/10.1137/1118030}
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  • https://www.mathnet.ru/eng/tvp/v18/i2/p289
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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