A Novel 3D Analytical Scattering Model for Air-to-Ground Fading Channels

A geometry-based three-dimensional (3D) novel stochastic channel model for air-to-ground (A2G) and ground-to-air (G2A) radio propagation environments is proposed. The vicinity of a ground station (GS) is modelled as surrounded by effective scattering points; whereas the elevated air station’s (AS) vicinity is modelled as a scattering-free region. Characterization of the Doppler spectrum, dispersion in the angular domain and second order fading statistics of the A2G/G2A radio communication channels is presented. Closed-form analytical expressions for joint and marginal probability density functions (PDFs) of Doppler shift, power and angle of arrival (AoA) are derived. Next, the paper presents a comprehensive analysis on the characteristics of angular spread on the basis of shape factors (SFs) for A2G/G2A radio propagation environments independently in both the azimuth and elevation planes. The analysis is further extended to second order statistics of the fading channel; where the behaviour of the level crossing rate (LCR), average fade duration (AFD), auto-covariance and coherence distance for the A2G/G2A radio propagation environment is studied. Finally, the impact of physical channel parameters, such as the mobility of AS, the height of AS, the height of GS and the delay of the longest propagation path, on the distribution characteristics of Doppler shift, angular spread and second order statistics is thoroughly studied.

[1]  F. Vatalaro,et al.  Doppler spectrum in mobile-to-mobile communications in the presence of three-dimensional multipath scattering , 1997 .

[2]  Noor M. Khan,et al.  Analysis of fading statistics based on geometrical and statistical channel models , 2010, 2010 6th International Conference on Emerging Technologies (ICET).

[3]  Theodore S. Rappaport,et al.  Effects of multipath angular spread on the spatial cross-correlation of received voltage envelopes , 1999, 1999 IEEE 49th Vehicular Technology Conference (Cat. No.99CH36363).

[4]  Theodore S. Rappaport,et al.  Theory of multipath shape factors for small-scale fading wireless channels , 2000 .

[5]  Noor M. Khan,et al.  Effect of Directional Antenna on the Doppler Spectrum in 3-D Mobile Radio Propagation Environment , 2011, IEEE Transactions on Vehicular Technology.

[6]  Thomas Jost,et al.  Airport channel measurements at 5.2GHz , 2009, 2009 3rd European Conference on Antennas and Propagation.

[7]  Noor M. Khan,et al.  Analysis of fading statistics based on angle of arrival measurements , 2011, 2011 International Workshop on Antenna Technology (iWAT).

[8]  Ji-hua Lu,et al.  Application of multipath shape factors in Nakagami-m fading channel , 2009, 2009 International Conference on Wireless Communications & Signal Processing.

[9]  Goran M. Djuknic,et al.  Establishing wireless communications services via high-altitude aeronautical platforms: a concept whose time has come? , 1997, IEEE Commun. Mag..

[10]  M. Rice,et al.  Wideband channel model for aeronautical telemetry , 2004, IEEE Transactions on Aerospace and Electronic Systems.

[11]  S. Georgakopoulos,et al.  Electromagnetic Wave Propagation into Fresh Water , 2011 .

[12]  David W. Matolak,et al.  Air-Ground Channel Characterization for Unmanned Aircraft Systems: The Hilly Suburban Environment , 2014, 2014 IEEE 80th Vehicular Technology Conference (VTC2014-Fall).

[13]  Michael Schnell,et al.  The Doppler-Delay Characteristic of the Aeronautical Scatter Channel , 2011, 2011 IEEE Vehicular Technology Conference (VTC Fall).

[14]  Andreas Lehner,et al.  Spatial Dynamic Wideband Modeling of the MIMO Satellite-to-Earth Channel , 2014 .

[15]  M. Walter,et al.  Scatterer based airport surface channel model , 2009, 2009 IEEE/AIAA 28th Digital Avionics Systems Conference.

[16]  Phillip A. Bello,et al.  Aeronautical Channel Characterization , 1973, IEEE Trans. Commun..

[17]  M. Rice,et al.  Multipath Channel Model for Over-Water Aeronautical Telemetry , 2009, IEEE Transactions on Aerospace and Electronic Systems.

[18]  Yee Hui Lee,et al.  Measurements and Characterizations of Air-to-Ground Channel Over Sea Surface at C-Band With Low Airborne Altitudes , 2011, IEEE Transactions on Vehicular Technology.

[19]  Yongjiang Hu,et al.  Analysis of Unmanned Aerial Vehicle MIMO Channel Capacity Based on Aircraft Attitude , 2013 .

[20]  Ali Abdi,et al.  A new simple model for land mobile satellite channels: first- and second-order statistics , 2003, IEEE Trans. Wirel. Commun..

[21]  T. Yeap,et al.  A three-dimensional scattering model for fading channels in land mobile environment , 1999 .

[22]  M. J. Colella,et al.  The HALO network/sup TM/ , 2000 .

[23]  Uwe-Carsten Fiebig,et al.  Joint Delay Doppler Probability Density Functions for Air-to-Air Channels , 2014 .

[24]  Matthias Pätzold,et al.  A study on the second order statistics of Nakagami-Hoyt mobile fading channels , 2005, IEEE Transactions on Vehicular Technology.

[25]  J. H. Painter,et al.  Multipath Modeling for Aeronautical Communications , 1973, IEEE Trans. Commun..

[26]  Kun Yang,et al.  Channel characterization including path loss and Doppler effects with sea reflections for mobile radio propagation over sea at 2 GHz , 2010, 2010 International Conference on Wireless Communications & Signal Processing (WCSP).

[27]  Sandeep Kumar,et al.  Appl. Sci , 2013 .

[28]  Jeffrey H. Reed,et al.  Impact of path-loss on the Doppler spectrum for the geometrically based single bounce vector channel models , 1998, VTC '98. 48th IEEE Vehicular Technology Conference. Pathway to Global Wireless Revolution (Cat. No.98CH36151).

[29]  Michel Daoud Yacoub,et al.  On the second-order statistics of Nakagami fading simulators , 2009, IEEE Transactions on Communications.

[30]  Noor M. Khan,et al.  Analysis of fading statistics in cellular mobile communication systems , 2013, The Journal of Supercomputing.

[31]  Michael Rice,et al.  Narrowband channel model for aeronautical telemetry , 2000, IEEE Trans. Aerosp. Electron. Syst..

[32]  Andreas Lehner,et al.  Modeling the GNSS rural radio channel , 2009 .

[33]  Konstantinos B. Baltzis.  A Generalized Elliptical Scattering Model for the Spatial Characteristics of Mobile Channels , 2012, Wirel. Pers. Commun..

[34]  Shouxing Qu.  An Analysis of Probability Distribution of Doppler Shift in Three-Dimensional Mobile Radio Environments , 2009, IEEE Transactions on Vehicular Technology.

[35]  D. W. Matolak,et al.  Air-ground channels & models: Comprehensive review and considerations for unmanned aircraft systems , 2012, 2012 IEEE Aerospace Conference.

[36]  Jeffrey H. Reed,et al.  A geometric air-to-ground radio channel model , 2002, MILCOM 2002. Proceedings.

[37]  Jeffrey H. Reed,et al.  Wideband air-to-ground radio channel measurements using an antenna array at 2 GHz for low-altitude operations , 2003, IEEE Military Communications Conference, 2003. MILCOM 2003..

[38]  Y. S. Meng,et al.  Multipath characterization and fade mitigation of air-to-ground propagation channel over tropical sea surface at C band , 2010, 2010 IEEE Antennas and Propagation Society International Symposium.

[39]  Mohammad N. Patwary,et al.  On the spatial characterization of 3-D air-to-ground radio communication channels , 2015, 2015 IEEE International Conference on Communications (ICC).

[40]  W. C. Jakes,et al.  Microwave Mobile Communications , 1974 .

[41]  Ji-hua Lu,et al.  Statistical analysis of Rician and Nakagami-m fading channel using multipath Shape factors , 2010, 2010 Second International Conference on Computational Intelligence and Natural Computing.

[42]  Erik Haas,et al.  Aeronautical channel modeling , 2002, IEEE Trans. Veh. Technol..