Detail publikačního výsledku

Noise influenced transmission line model via partial stochastic differential equations

KOLÁŘOVÁ, E.; BRANČÍK, L.

Originální název

Noise influenced transmission line model via partial stochastic differential equations

Anglický název

Noise influenced transmission line model via partial stochastic differential equations

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

In this paper we introduce stochastic ordinary and stochastic partial differential equations and apply the theory to the model of transmission line. First we consider transmission line with external sources affected by randomness. Here the theory of ordinary stochastic differential equations is applied. We illustrate the solution by an example, where we simulate the stochastic responses of the system. While considering stochastic effects inside of the transmission line, we have to use the stochastic partial differential equation model. Here we present the theoretical background of the situation.

Anglický abstrakt

In this paper we introduce stochastic ordinary and stochastic partial differential equations and apply the theory to the model of transmission line. First we consider transmission line with external sources affected by randomness. Here the theory of ordinary stochastic differential equations is applied. We illustrate the solution by an example, where we simulate the stochastic responses of the system. While considering stochastic effects inside of the transmission line, we have to use the stochastic partial differential equation model. Here we present the theoretical background of the situation.

Klíčová slova

Wiener process; cylindrical Wiener process; stochastic differential equations; stochastic partial differential equations; transmission line model

Klíčová slova v angličtině

Wiener process; cylindrical Wiener process; stochastic differential equations; stochastic partial differential equations; transmission line model

Autoři

KOLÁŘOVÁ, E.; BRANČÍK, L.

Rok RIV

2020

Vydáno

03.07.2019

Nakladatel

Brno University of Technology

Místo

Budapest, Hungary

ISBN

978-1-7281-1864-2

Kniha

Proceedings of the 42th International Conference on Telecommunications and Signal Processing

ISSN

NEUVEDENO

Strany od

492

Strany do

496

Strany počet

4

BibTex

@inproceedings{BUT157650,
  author="Edita {Kolářová} and Lubomír {Brančík}",
  title="Noise influenced transmission line model via partial stochastic differential equations",
  booktitle="Proceedings of the 42th International Conference on Telecommunications and Signal Processing",
  year="2019",
  number="1",
  pages="492--496",
  publisher="Brno University of Technology",
  address="Budapest, Hungary",
  doi="10.1109/TSP.2019.8769101",
  isbn="978-1-7281-1864-2"
}