Publication detail

# Noise influenced transmission line model via partial stochastic differential equations

KOLÁŘOVÁ, E. BRANČÍK, L.

Original Title

Noise influenced transmission line model via partial stochastic differential equations

English Title

Noise influenced transmission line model via partial stochastic differential equations

Type

conference paper

Language

en

Original Abstract

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.

English abstract

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.

Keywords

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

Released

03.07.2019

Publisher

Brno University of Technology

Location

Budapest, Hungary

ISBN

978-1-7281-1864-2

Book

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

Edition number

1

Pages from

492

Pages to

496

Pages count

4

BibTex

``````
@inproceedings{BUT157650,
author="Edita {Kolářová} and Lubomír {Brančík}",
title="Noise influenced transmission line model via partial stochastic differential equations",
annote="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.",