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Time-Variant Doppler PDFs and Characteristic Functions for the Vehicle-to-Vehicle Channel

Walter, Michael and Shutin, Dmitriy and Dammann, Armin (2017) Time-Variant Doppler PDFs and Characteristic Functions for the Vehicle-to-Vehicle Channel. IEEE Transactions on Vehicular Technology. IEEE - Institute of Electrical and Electronics Engineers. DOI: 10.1109/TVT.2017.2722229 ISSN 0018-9545

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Abstract

Non-stationarity of vehicle-to-vehicle channels is one of the key elements that has to be taken into account for accurate channel modeling. The time-variance and its dual – the frequency selectivity – leads to non-stationarity. These can be assessed by both the temporal autocorrelation function and the Doppler spectrum, respectively. For fixed-to-mobile channels closed-form solutions for autocorrelation functions and Doppler spectra are well known. For vehicle-to-vehicle channels closed- form solutions exist, if uncorrelated double-bounce scattering is assumed. For time-variant, delay-dependent, correlated single- bounce scattering expressions are yet to be found. This contribu- tion addresses the mentioned problem. Specifically, the propor- tionality between the Doppler probability density function (pdf) and Doppler power spectrum in time-varying scenarios for non- stationary, uncorrelated scattering is demonstrated. The latter also implies a proportionality between the characteristic function and the corresponding autocorrelation function; these functions are the Fourier transforms of the Doppler pdf and Doppler power spectrum, respectively. It is shown that time-varying characteristic functions and Doppler pdfs for general vehicle-to- vehicle scenarios can be derived in prolate spheroidal coordinates. The investigation of the Doppler frequency in these coordinates allows us deriving expressions of the maximum and minimum frequencies of the Doppler pdf in the vicinity of line-of-sight. Several vehicular scenarios of interest are investigated and closed- form solutions for the Doppler pdf and characteristic function are presented. An analysis of the results shows that the obtained expressions generalize well the known closed-form results for stationary channels. This further permits deriving some time- variant statistical channel parameters like mean Doppler and Doppler spread. These parameters are particularly important when designing a Wiener filter or estimating propagation channel characteristics for highly time-variant vehicle-to-vehicle channels.

Item URL in elib:https://elib.dlr.de/112850/
Document Type:Article
Title:Time-Variant Doppler PDFs and Characteristic Functions for the Vehicle-to-Vehicle Channel
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Walter, Michaelm.walter (at) dlr.dehttps://orcid.org/0000-0001-5659-8716
Shutin, Dmitriydmitriy.shutin (at) dlr.deUNSPECIFIED
Dammann, ArminArmin.Dammann (at) dlr.dehttps://orcid.org/0000-0002-7112-1833
Date:2017
Journal or Publication Title:IEEE Transactions on Vehicular Technology
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
DOI :10.1109/TVT.2017.2722229
Publisher:IEEE - Institute of Electrical and Electronics Engineers
ISSN:0018-9545
Status:Published
Keywords:Characteristic function, Doppler pdf, vehicle- to-vehicle channel, geometry-based stochastic channel modeling, prolate spheroidal coordinates
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Communication and Navigation
DLR - Research area:Raumfahrt
DLR - Program:R KN - Kommunikation und Navigation
DLR - Research theme (Project):R - Project Navigation 4.0
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Communication and Navigation > Communications Systems
Deposited By: Walter, Dr. Michael
Deposited On:22 Jun 2017 09:19
Last Modified:06 Sep 2019 15:17

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