Joint Delay Doppler Probability Density Functions for Air-to-Air Channels

Michael Walter,Uwe-Carsten Fiebig,Dmitriy Shutin

doi:10.1155/2014/814218

Michael Walter, Uwe-Carsten Fiebig + Show 1 more

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https://doi.org/10.1155/2014/814218

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Abstract

Recent channel measurements indicate that the wide sense stationary uncorrelated scattering assumption is not valid for air-to-air channels. Therefore, purely stochastic channel models cannot be used. In order to cope with the nonstationarity a geometric component is included. In this paper we extend a previously presented two-dimensional geometric stochastic model originally developed for vehicle-to-vehicle communication to a three-dimensional air-to-air channel model. Novel joint time-variant delay Doppler probability density functions are presented. The probability density functions are derived by using vector calculus and parametric equations of the delay ellipses. This allows us to obtain closed form mathematical expressions for the probability density functions, which can then be calculated for any delay and Doppler frequency at arbitrary times numerically.

Highlights

IntroductionStatistical channel modeling research goes back to the mid-sixties, when Bello in his seminal work [1] characterized the statistical properties of randomly time-variant linear channels
Channel modeling plays a vital role in the development of new communication systems, since channel models describe the physical radio propagation environment between the transmitter and receiver and enable the development of simulation tools to facilitate the receiver design
Statistical channel modeling research goes back to the mid-sixties, when Bello in his seminal work [1] characterized the statistical properties of randomly time-variant linear channels

Summary

Introduction

Statistical channel modeling research goes back to the mid-sixties, when Bello in his seminal work [1] characterized the statistical properties of randomly time-variant linear channels He introduced the idea of wide sense stationary uncorrelated scattering (WSSUS) channels and provided its characterization in terms of the scattering function and its autocorrelation amongst others; the former describes the statistical relationship between the delay and Doppler frequency of propagation paths between the transmitter and receiver. It is foreseen that air-to-air communications will become an integral part of the future air transportation system For this reason an accurate knowledge of the air-to-air channel becomes a crucial enabler for future aeronautical communication systems

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