Publication detail

Evaluation of Responses in MTL Model Excited from Multiple Stochastic Sources

BRANČÍK, L. KOLÁŘOVÁ, E.

Original Title

Evaluation of Responses in MTL Model Excited from Multiple Stochastic Sources

Type

journal article - other

Language

English

Original Abstract

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.

Keywords

multiconductor transmission line; state variable; stochastic differential equation; stochastic source

Authors

BRANČÍK, L.; KOLÁŘOVÁ, E.

Released

15. 1. 2016

Publisher

International Science and Engineering Society, o.s.

Location

Brno, Czech Republic

ISBN

1805-5443

Periodical

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

Year of study

5

Number

1

State

Czech Republic

Pages from

22

Pages to

28

Pages count

7

URL

http://ijates.org/index.php/ijates/article/view/145

Full text in the Digital Library

http://hdl.handle.net/11012/204168

BibTex

@article{BUT125041,
  author="Lubomír {Brančík} and Edita {Kolářová}",
  title="Evaluation of Responses in MTL Model Excited from Multiple Stochastic Sources",
  journal="International Journal of Advances in Telecommunications, Electrotechnics, Signals and Systems",
  year="2016",
  volume="5",
  number="1",
  pages="22--28",
  doi="10.11601/ijates.v5i1.145",
  issn="1805-5443",
  url="http://ijates.org/index.php/ijates/article/view/145"
}