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Stochastic Differential Equations Approach in the Analysis of MTLs with Randomly Varied Parameters

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F12%3APU100497" target="_blank" >RIV/00216305:26220/12:PU100497 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Stochastic Differential Equations Approach in the Analysis of MTLs with Randomly Varied Parameters

  • Original language description

    The paper deals with a technique for the analysis of multiconductor transmission lines (MTL) with randomly varied parameters, which is based on a theory of stochastic differential equations (SDE). Sets of stochastic trajectories are computed as voltage or current responses, accompanied by relevant sample means and confidence intervals. The MTL model is based on a cascade connection of generalized RLGC networks, terminating circuits are replaced by their generalized Thévenin equivalents. To develop model equations a state-variable method is applied, and then a corresponding vector SDE is formulated. Finally, a stochastic implicit Euler numerical technique is used for the numerical solution being consistent with Itô stochastic calculus. All the computation were done in the MATLAB language, and deterministic responses are also stated via a numerical inverse Laplace transforms (NILT) procedure to verify the results.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    JA - Electronics and optoelectronics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2012

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of 19th IEEE International Conference on Electronics, Circuits, and Systems ICECS2012

  • ISBN

    978-1-4673-1259-2

  • ISSN

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

    725-728

  • Publisher name

    IEEE CAS

  • Place of publication

    Sevilla, Spain

  • Event location

    Seville

  • Event date

    Dec 9, 2012

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article