Unmanned Aerial Vehicle Assisted Cellular Communication

In this paper, we consider unmanned aerial vehicle (UAV) assisted cellular communications where UAVs are used as amplify-and-forward (AF) relays. The effective channel with UAV-assisted communication is modeled as a Rayleigh product channel, for which we derive a tight lower-bound of the ergodic capacity in closed-form. With the obtained lower-bound, trade-offs between the transmit power and the equipped number of antennas of the UAVs can be analyzed. Alternatively, for a given setting of users and the base-transceiver station (BTS), the needed transmit power and number of antennas for the UAVs can be derived in order to have a higher ergodic capacity with the UAV-assisted communication than that without it.

[1]  Thomas L. Marzetta,et al.  Multiple-antenna channel hardening and its implications for rate feedback and scheduling , 2004, IEEE Transactions on Information Theory.

[2]  Helmut Bölcskei,et al.  Tight lower bounds on the ergodic capacity of Rayleigh fading MIMO channels , 2002, Global Telecommunications Conference, 2002. GLOBECOM '02. IEEE.

[3]  Erik G. Larsson,et al.  Fundamentals of massive MIMO , 2016, SPAWC.

[4]  David Gesbert,et al.  Optimal positioning of flying relays for wireless networks: A LOS map approach , 2017, 2017 IEEE International Conference on Communications (ICC).

[5]  T. MacRobert Higher Transcendental Functions , 1955, Nature.

[6]  Qingqing Wu,et al.  Joint Trajectory and Communication Design for Multi-UAV Enabled Wireless Networks , 2017, IEEE Transactions on Wireless Communications.

[7]  Reinaldo A. Valenzuela,et al.  Keyholes, correlations, and capacities of multielement transmit and receive antennas , 2002, IEEE Trans. Wirel. Commun..

[8]  Feng Xue,et al.  On the Product-Determinant-Sum of Central Wishart Matrices and Its Application to Wireless Networks , 2010, IEEE Transactions on Information Theory.

[9]  Joseph Lipka,et al.  A Table of Integrals , 2010 .

[10]  Emre Telatar,et al.  Capacity of Multi-antenna Gaussian Channels , 1999, Eur. Trans. Telecommun..

[11]  Helmut Bölcskei,et al.  Outdoor MIMO wireless channels: models and performance prediction , 2002, IEEE Trans. Commun..

[12]  V. Marčenko,et al.  DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES , 1967 .

[13]  Zhidong Bai,et al.  On limit theorem for the eigenvalues of product of two random matrices , 2007 .

[14]  Matthew R. McKay,et al.  Transmit Beamforming in Rayleigh Product MIMO Channels: Capacity and Performance Analysis , 2008, IEEE Transactions on Signal Processing.

[15]  Ralf R. Müller,et al.  On the asymptotic eigenvalue distribution of concatenated vector-valued fading channels , 2002, IEEE Trans. Inf. Theory.

[16]  Nikolaos Papanikolopoulos,et al.  Solar powered UAV: Design and experiments , 2015, 2015 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS).

[17]  Joachim Speidel Capacity of Multiple-Input Multiple-Output Keyhole Channels with Antenna Selection , 2007 .

[18]  Erik G. Larsson,et al.  Massive MIMO for Communications With Drone Swarms , 2017, IEEE Transactions on Wireless Communications.

[19]  N. R. Goodman The Distribution of the Determinant of a Complex Wishart Distributed Matrix , 1963 .

[20]  Pravin Varaiya,et al.  Capacity of fading channels with channel side information , 1997, IEEE Trans. Inf. Theory.

[21]  A. Erdélyi,et al.  Higher Transcendental Functions , 1954 .

[22]  Matthew R. McKay,et al.  Capacity analysis of MIMO three product channels , 2010, 2010 Australian Communications Theory Workshop (AusCTW).

[23]  Robert W. Heath,et al.  Rate bounds for MIMO relay channels using precoding , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[24]  Helmut Bölcskei,et al.  Fading relay channels: performance limits and space-time signal design , 2004, IEEE Journal on Selected Areas in Communications.

[25]  Christian Bettstetter,et al.  Experimental analysis of multipoint-to-point UAV communications with IEEE 802.11n and 802.11ac , 2015, 2015 IEEE 26th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC).

[26]  Jean-Claude Belfiore,et al.  Optimal Space–Time Codes for the MIMO Amplify-and-Forward Cooperative Channel , 2005, IEEE Transactions on Information Theory.

[27]  Rui Zhang,et al.  Wireless communications with unmanned aerial vehicles: opportunities and challenges , 2016, IEEE Communications Magazine.

[28]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.