A New Shadowed Double-Scattering Model with Application to UAV-to-Ground Communications

Double-scattering propagation models have been applied in various wireless communication environments, including vehicle-to-vehicle communications and cooperative amplify-and-forward relaying. In all these scenarios, when obstacles exist between the transmitter (Tx) and the receiver (Rx), the average received power varies in a random manner, resulting to the shadowing effect. The combination of double-scattering and shadowing represents a composite fading scenario, which models worse than Rayleigh fading conditions. In this paper, we propose a new shadowed double-scattering distribution that can model various fading and shadowing conditions. To this aim, the inverse-gamma (IG) distribution is employed for modeling the shadowing coefficient and the Nakagami- $m$ for the multipath fading. For the resulting double-Nakagami-IG distribution, an analytical stochastic framework has been developed for presenting important statistical properties. Moreover, the theoretical results have been compared with empirical ones, based on a measurement campaign that has been performed in an unmanned aerial vehicle (UAV)-to-ground communication scenario. It is shown that the proposed new distribution can efficiently model such communication environments, since it provides a notable fit to the empirical data.

[1]  P. Vainikainen,et al.  Statistical Analysis of the Multiple Scattering Radio Channel , 2006, IEEE Transactions on Antennas and Propagation.

[2]  Athanasios G. Kanatas,et al.  Dual-Polarized Narrowband MIMO LMS Channel Measurements in Urban Environments , 2017, IEEE Transactions on Antennas and Propagation.

[3]  Nikos C. Sagias,et al.  On the cascaded Weibull fading channel model , 2007, J. Frankl. Inst..

[4]  Victor Adamchik,et al.  The algorithm for calculating integrals of hypergeometric type functions and its realization in REDUCE system , 1990, ISSAC '90.

[5]  Michail Matthaiou,et al.  Error analysis of wireless transmission over generalized multipath/shadowing channels , 2018, 2018 IEEE Wireless Communications and Networking Conference (WCNC).

[6]  P. Vainikainen,et al.  Impact of double-Rayleigh fading on system performance , 2006, 2006 1st International Symposium on Wireless Pervasive Computing.

[7]  Mohamed-Slim Alouini,et al.  Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis , 2000 .

[8]  David W. Matolak,et al.  Shadowing-Based Antenna Selection for V2V Communications , 2018, 2018 IEEE 29th Annual International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC).

[9]  George P. Efthymoglou,et al.  V2V Cooperative Relaying Communications Under Interference and Outdated CSI , 2018, IEEE Transactions on Vehicular Technology.

[10]  R. A. Leibler,et al.  On Information and Sufficiency , 1951 .

[11]  David W. Matolak,et al.  Vehicle–Vehicle Channel Models for the 5-GHz Band , 2008, IEEE Transactions on Intelligent Transportation Systems.

[12]  Michail Matthaiou,et al.  The η — μ / inverse gamma composite fading model , 2015, 2015 IEEE 26th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC).

[13]  David W. Matolak,et al.  Exploiting Shadowing Stationarity for Antenna Selection in V2V Communications , 2019, IEEE Transactions on Vehicular Technology.

[14]  Daniel Benevides da Costa,et al.  On the Double-Generalized Gamma Statistics and Their Application to the Performance Analysis of V2V Communications , 2018, IEEE Transactions on Communications.

[15]  George K. Karagiannidis,et al.  $N{\ast}$Nakagami: A Novel Stochastic Model for Cascaded Fading Channels , 2007, IEEE Transactions on Communications.

[16]  Sofiène Affes,et al.  On the Performance of Cascaded Generalized K Fading Channels , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[17]  Mohamed-Slim Alouini,et al.  Coded Communication over Fading Channels , 2005 .

[18]  J. Andersen,et al.  Power Distributions Revisited , 2002 .