Modelling of a Wireless Channel with Time Dependent Parameters

1

Gdynia Maritime University, Morska 81-87, 81-225 Gdynia, Poland, Faculty of Electrical Engineering, Department of Marine Telecommunications, e-mail: m.mieczynska@we.umg.edu.pl

2

Gdynia Maritime University, Morska 81-87, 81-225 Gdynia, Poland, Faculty of Electrical Engineering, Department of Marine Telecommunications

Abstract: 

It is convenient to analyse wireless channels and links by exploiting their input-output description. This approach relies on treating the system as a black box, whose behaviour can be fully described by the relationship between the input and output signals. In this paper, we study a relationship of the above type for linear wireless channels having time-dependent parameters, which also takes a multipath propagation environment into account. A starting point for the derivations presented here is a relationship derived in the literature for this type of model with the application of a single sinusoidal input signal. The subject of this paper is the generalization of that relationship for periodic input signals and then of non-periodic signals. To the best of our knowledge, the literature lacks a suitably convincing generalization. The derivations of this paper exploit a principle of superposition valid for linear systems as well as the relations existing between Fourier series and the Fourier integrals. The discussion is illustrated by the results of simulations performed with the help of the MATLAB program.

Keywords: 
wireless channel, superposition principle, multipath, Fourier transform
Issue: 
Pages: 
24
38
Accepted: 
30.11.2018
Published: 
23.09.2019
Download full text in pdf: 

This article is an open access article distributed under a Creative Commoms Attribution (CCBY 4.0) licence

References: 

Landman, B., Lim, I., Huang, A., Feng, W., Patel, P., Miller, M., 2008, Fourier Series and Transform, Johns Hopkins University, Baltimore, MD, USA http://pages.jh.­edu/~bmesignals/­Lectures/Fourier_transform_and_Fourier_Series.pdf (access 21.06.2018).

Nurfaizey, A., Stanger, J., Tucker, N., Buunk, N., Wallace, A., Staiger, M., 2012, Manipulation of Electrospun Fibres in Flight: the Principle of Superposition of Electric Fields as a Control Method, Journal of Materials Science, vol. 47, no. 3, pp. 1156–1163.

Szabatin, J., 2016, Podstawy teorii sygnałów, Wydawnictwa Komunikacji i Łączności, Warszawa.

Tse, D., Viswanath, P., 2005, Fundamentals of Wireless Communication, Cambridge University Press, Cambridge, UK.

Marta Mieczyńska

Citation pattern: Mieczyńska M., Borys A., Modelling of a Wireless Channel with Time Dependent Parameters , Scientific Journal of Gdynia Maritime University, No. 111, pp. 24-38, 2019

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