Evaluation of Responses in MTL Model Excited from Multiple Stochastic Sources

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dc.contributor.authorBrančík, Lubomírcs
dc.contributor.authorKolářová, Editacs
dc.coverage.issue1cs
dc.coverage.volume5cs
dc.date.issued2016-01-15cs
dc.description.abstractThe paper presents a technique for simulation of stochastic responses and their statistical characteristics in multiconductor transmission lines (MTL). The method follows a theory of stochastic differential equations (SDE) and relevant numerical techniques for their solution. The MTL’s model, formed via generalized sections in cascade, is designed to cover various situations at stochastic and/or deterministic excitations. In this way both the noisy pulses driving MTL’s terminal ports and effects of possible unwanted disturbances along the MTL’s wires are allowed to be simulated. First the state-variable method is applied to derive a deterministic description, then voltage stochastic variations are incorporated to define the vector linear SDE. To obtain the characteristics of stochastic responses, firstly the set of trajectories is statistically processed, while a weak stochastic backward Euler scheme, consistent with the Itô stochastic calculus, is applied. Finally, a method of direct calculation of variances, based on the solution of relevant Lyapunov-like differential equations, is used with advantage. All the simulations were performed in the Matlab language environment.en
dc.description.abstractThe paper presents a technique for simulation of stochastic responses and their statistical characteristics in multiconductor transmission lines (MTL). The method follows a theory of stochastic differential equations (SDE) and relevant numerical techniques for their solution. The MTL’s model, formed via generalized sections in cascade, is designed to cover various situations at stochastic and/or deterministic excitations. In this way both the noisy pulses driving MTL’s terminal ports and effects of possible unwanted disturbances along the MTL’s wires are allowed to be simulated. First the state-variable method is applied to derive a deterministic description, then voltage stochastic variations are incorporated to define the vector linear SDE. To obtain the characteristics of stochastic responses, firstly the set of trajectories is statistically processed, while a weak stochastic backward Euler scheme, consistent with the Itô stochastic calculus, is applied. Finally, a method of direct calculation of variances, based on the solution of relevant Lyapunov-like differential equations, is used with advantage. All the simulations were performed in the Matlab language environment.en
dc.formattextcs
dc.format.extent22-28cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationInternational Journal of Advances in Telecommunications, Electrotechnics, Signals and Systems. 2016, vol. 5, issue 1, p. 22-28.en
dc.identifier.doi10.11601/ijates.v5i1.145cs
dc.identifier.issn1805-5443cs
dc.identifier.orcid0000-0001-9510-2058cs
dc.identifier.orcid0000-0003-4992-627Xcs
dc.identifier.other125041cs
dc.identifier.researcheridE-9917-2018cs
dc.identifier.scopus8440446200cs
dc.identifier.scopus24776140900cs
dc.identifier.urihttp://hdl.handle.net/11012/204168
dc.language.isoencs
dc.publisherInternational Science and Engineering Society, o.s.cs
dc.relation.ispartofInternational Journal of Advances in Telecommunications, Electrotechnics, Signals and Systemscs
dc.relation.urihttp://ijates.org/index.php/ijates/article/view/145cs
dc.rightsCreative Commons Attribution-ShareAlike 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1805-5443/cs
dc.rights.urihttp://creativecommons.org/licenses/by-sa/4.0/cs
dc.subjectmulticonductor transmission lineen
dc.subjectstate variableen
dc.subjectstochastic differential equationen
dc.subjectstochastic sourceen
dc.subjectmulticonductor transmission line
dc.subjectstate variable
dc.subjectstochastic differential equation
dc.subjectstochastic source
dc.titleEvaluation of Responses in MTL Model Excited from Multiple Stochastic Sourcesen
dc.title.alternativeEvaluation of Responses in MTL Model Excited from Multiple Stochastic Sourcesen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-125041en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 14:10:16en
sync.item.modts2025.10.14 10:16:45en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav radioelektronikycs
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