Y. Deng, L. Wang, M. Elkashlan, M. D. Renzo, and J. Yuan, K-tier heterogeneous cellular networks with wireless power transfer, Proc. IEEE Int. Conf. Commun. (ICC), 2016.
URL : https://hal.archives-ouvertes.fr/hal-01880174

K. Huang and X. Zhou, Cutting the last wires for mobile communications by microwave power transfer, IEEE Commun. Mag, vol.53, issue.6, pp.86-93, 2015.

S. Bi, C. Ho, and R. Zhang, Wireless powered communication: opportunities and challenges, IEEE Commun. Mag, vol.53, issue.4, pp.117-125, 2015.

K. Huang, C. Zhong, and G. Zhu, Some new trends in wirelessly powered communications, CoRR, 2015.

D. Mishra, S. De, S. Jana, S. Basagni, K. Chowdhury et al., Smart RF energy harvesting communications: challenges and opportunities, IEEE Commun. Mag, vol.53, issue.4, pp.70-78, 2015.

X. Lu, P. Wang, D. Niyato, D. I. Kim, and Z. Han, Wireless networks with RF energy harvesting: A contemporary survey, IEEE Commun. Surveys and Tutorials, vol.17, issue.2, pp.757-789, 2015.

A. H. Sakr and E. Hossain, Analysis of K-tier uplink cellular networks with ambient RF energy harvesting, IEEE J. Sel. Areas Commun, vol.33, issue.10, pp.2226-2238, 2015.

J. G. Andrews, S. Buzzi, W. Choi, S. V. Hanly, A. Lozano et al., What will 5G be?, IEEE J. Sel. Areas Commun, vol.32, issue.6, pp.1065-1082, 2014.

R. Madan, J. Borran, A. Sampath, N. Bhushan, A. Khandekar et al., Cell association and interference coordination in heterogeneous LTE-A cellular networks, IEEE J. Sel. Areas Commun, vol.28, issue.9, pp.1479-1489, 2010.

A. Ghosh, N. Mangalvedhe, R. Ratasuk, B. Mondal, M. Cudak et al., Heterogeneous cellular networks: From theory to practice, IEEE Commun. Mag, vol.50, issue.6, pp.54-64, 2012.

Y. Deng, L. Wang, K. Wong, A. Nallanathan, M. Elkashlan et al., Safeguarding massive mimo aided hetnets using physical layer security, Int. Wireless Commun. Signal Process. (WCSP), pp.1-5, 2015.

K. Huang and V. K. Lau, Enabling wireless power transfer in cellular networks: Architecture, modeling and deployment, IEEE Trans. Wireless Commun, vol.13, issue.2, pp.902-912, 2014.

J. G. Andrews, Seven ways that hetnets are a cellular paradigm shift, IEEE Commun. Mag, vol.51, issue.3, pp.136-144, 2013.

H. Ju and R. Zhang, Throughput maximization in wireless powered communication networks, IEEE Trans. Commun, vol.13, issue.1, pp.418-428, 2014.

L. Liu, R. Zhang, and K. Chua, Multi-antenna wireless powered communication with energy beamforming, IEEE Trans. Commun, vol.62, issue.12, pp.4349-4361, 2014.

H. Ju and R. Zhang, User cooperation in wireless powered communication networks, Proc. IEEE GLOBECOM, pp.1430-1435, 2014.

X. Kang, C. K. Ho, and S. Sun, Full-duplex wireless-powered communication network with energy causality, IEEE Trans. Wireless Commun, vol.14, issue.10, pp.5539-5551, 2015.

G. Yang, C. K. Ho, R. Zhang, and Y. L. Guan, Throughput optimization for massive MIMO systems powered by wireless energy transfer, IEEE J. Sel. Areas Commun, vol.33, issue.8, pp.1640-1650, 2015.

A. H. Sakr and E. Hossain, Cognitive and energy harvesting-based D2D communication in cellular networks: Stochastic geometry modeling and analysis, IEEE Trans. Commun, vol.63, issue.5, pp.1867-1880, 2015.

S. Akbar, Y. Deng, A. Nallanathan, M. Elkashlan, and A. H. Aghvami, Simultaneous wireless information and power transfer in k-tier heterogeneous cellular networks, IEEE Trans. Wireless Commun, issue.99, pp.1-1, 2016.

M. Haenggi, Stochastic geometry for wireless networks, 2012.

H. S. Dhillon, R. K. Ganti, F. Baccelli, and J. G. Andrews, Modeling and analysis of K-tier downlink heterogeneous cellular networks, IEEE J. Sel. Areas Commun, vol.30, issue.3, pp.550-560, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00940561

H. Elsawy and E. Hossain, On stochastic geometry modeling of cellular uplink transmission with truncated channel inversion power control, IEEE Trans. Wireless Commun, vol.13, issue.8, pp.4454-4469, 2014.

X. Chen and R. Q. Hu, Joint uplink and downlink optimal mobile association in a wireless heterogeneous network, Proc. IEEE GLOBECOM, pp.4131-4137, 2012.

H. Jo, Y. J. Sang, P. Xia, and J. G. Andrews, Heterogeneous cellular networks with flexible cell association: A comprehensive downlink SINR analysis, IEEE Trans. Wireless Commun, vol.11, issue.10, pp.3484-3495, 2012.

J. G. Andrews, F. Baccelli, and R. K. Ganti, A tractable approach to coverage and rate in cellular networks, IEEE Trans. Wireless Commun, vol.59, issue.11, pp.3122-3134, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00940544

H. Jo, Y. J. Sang, P. Xia, and J. G. Andrews, Heterogeneous cellular networks with flexible cell association: A comprehensive downlink SINR analysis, IEEE Trans. Wireless Commun, vol.11, issue.10, pp.3484-3495, 2012.

J. Liu, S. Zhang, H. Nishiyama, N. Kato, and J. Guo, A stochastic geometry analysis of D2D overlaying multi-channel downlink cellular networks, IEEE INFOCOM, pp.46-54, 2015.

H. Elsawy, E. Hossain, and M. Alouini, Analytical modeling of mode selection and power control for underlay D2D communication in cellular networks, IEEE Trans. Commun, vol.62, issue.11, pp.4147-4161, 2014.

T. D. Novlan, H. S. Dhillon, and J. G. Andrews, Analytical modeling of uplink cellular networks, IEEE Trans. Wireless Commun, vol.12, issue.6, pp.2669-2679, 2013.

F. Baccelli and B. Blaszczyszyn, Stochastic geometry and wireless networks, vol.1, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00403039

F. Baccelli, B. Blaszczyszyn, and P. Muhlethaler, An aloha protocol for multihop mobile wireless networks, IEEE Trans. Inf. Theory, vol.52, issue.2, pp.421-436, 2006.

R. W. Heath, M. Kountouris, and T. Bai, Modeling heterogeneous network interference using poisson point processes, IEEE Trans. Signal Process, vol.61, issue.16, pp.4114-4126, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00827419

E. U. Access, Further advancements for E-UTRA physical layer aspects, Tech. Rep, 2010.

H. Q. Ngo, M. Matthaiou, T. Q. Duong, and E. G. Larsson, Uplink performance analysis of multicell MU-MIMO systems with ZF receivers, IEEE Trans. Veh. Technol, vol.62, issue.9, pp.4471-4482, 2013.

K. Smiljkovikj, P. Popovski, and L. Gavrilovska, Analysis of the decoupled access for downlink and uplink in wireless heterogeneous networks, 2014.

K. Huang, Spatial throughput of mobile ad hoc networks powered by energy harvesting, IEEE Trans. Inf. Theory, vol.59, issue.11, pp.7597-7612, 2013.

X. Zhou, R. Zhang, and C. K. Ho, Wireless information and power transfer: architecture design and rate-energy tradeoff, Proc. IEEE GLOBECOM, pp.3982-3987, 2012.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 2007.

D. Stoyan, W. Kendall, and J. Mecke, Stochastic geometry and its applications, vol.2, 1987.

S. Roman, The formula of faa di bruno, American Mathematical Monthly, pp.805-809, 1980.

J. G. Wendel, The non-absolute convergence of Gil-Pelaez' inversion integral, The Annals of Mathematical Statistics, vol.32, issue.1, pp.338-339, 1961.