Evaluation of Responses in MTL Model Excited from Multiple Stochastic Sources

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F16%3APU119128" target="_blank" >RIV/00216305:26220/16:PU119128 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.ijates.org/index.php/ijates/issue/view/12/showToc" target="_blank" >http://www.ijates.org/index.php/ijates/issue/view/12/showToc</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.11601/ijates.v5i1.145" target="_blank" >10.11601/ijates.v5i1.145</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Evaluation of Responses in MTL Model Excited from Multiple Stochastic Sources

Popis výsledku v původním jazyce

The 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 Π 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.

Název v anglickém jazyce

Evaluation of Responses in MTL Model Excited from Multiple Stochastic Sources

Popis výsledku anglicky

The 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 Π 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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

JA - Elektronika a optoelektronika, elektrotechnika

OECD FORD obor

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Projekt

<a href="/cs/project/GA15-18288S" target="_blank" >GA15-18288S: Výzkum integrity signálů u vysokorychlostních propojovacích struktur</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

International Journal of Advances in Telecommunications, Electrotechnics, Signals and Systems

ISSN

1805-5443

e-ISSN

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Svazek periodika

5

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

7

Strana od-do

22-28

Kód UT WoS článku

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EID výsledku v databázi Scopus

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