Joint Delay Doppler Probability Density Functions for Air-to-Air Channels
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 exten...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2014/814218 |
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| author | Michael Walter Dmitriy Shutin Uwe-Carsten Fiebig |
| author_facet | Michael Walter Dmitriy Shutin Uwe-Carsten Fiebig |
| author_sort | Michael Walter |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-495617ab34d8427f9b119e65fc47c4e7 |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-495617ab34d8427f9b119e65fc47c4e72025-08-20T03:36:48ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772014-01-01201410.1155/2014/814218814218Joint Delay Doppler Probability Density Functions for Air-to-Air ChannelsMichael Walter0Dmitriy Shutin1Uwe-Carsten Fiebig2Institute of Communications and Navigation, German Aerospace Center (DLR), Oberpfaffenhofen, 82234 Wessling, GermanyInstitute of Communications and Navigation, German Aerospace Center (DLR), Oberpfaffenhofen, 82234 Wessling, GermanyInstitute of Communications and Navigation, German Aerospace Center (DLR), Oberpfaffenhofen, 82234 Wessling, GermanyRecent 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.http://dx.doi.org/10.1155/2014/814218 |
| spellingShingle | Michael Walter Dmitriy Shutin Uwe-Carsten Fiebig Joint Delay Doppler Probability Density Functions for Air-to-Air Channels International Journal of Antennas and Propagation |
| title | Joint Delay Doppler Probability Density Functions for Air-to-Air Channels |
| title_full | Joint Delay Doppler Probability Density Functions for Air-to-Air Channels |
| title_fullStr | Joint Delay Doppler Probability Density Functions for Air-to-Air Channels |
| title_full_unstemmed | Joint Delay Doppler Probability Density Functions for Air-to-Air Channels |
| title_short | Joint Delay Doppler Probability Density Functions for Air-to-Air Channels |
| title_sort | joint delay doppler probability density functions for air to air channels |
| url | http://dx.doi.org/10.1155/2014/814218 |
| work_keys_str_mv | AT michaelwalter jointdelaydopplerprobabilitydensityfunctionsforairtoairchannels AT dmitriyshutin jointdelaydopplerprobabilitydensityfunctionsforairtoairchannels AT uwecarstenfiebig jointdelaydopplerprobabilitydensityfunctionsforairtoairchannels |