A 3D Spatial Fluid Model for Wireless Networks

In this article we develop a three dimensional (3D) analytical model of wireless networks. We establish an analytical expression of the SINR (Signal to Interference plus Noise Ratio) of user equipments (UE), by using a 3D fluid model approach of the network. This model enables to evaluate in a simple way the cumulative distribution function of the SINR, and therefore the performance, the quality of service and the coverage of wireless networks, with a high accuracy. The use of this 3D wireless network model, instead of a standard two-dimensional one, in order to analyze wireless networks, is particularly interesting. Indeed, this 3D model enables to establish more accurate performance and quality of services results than a 2D one.

[1]  Andrew J. Viterbi,et al.  On the capacity of a cellular CDMA system , 1991 .

[2]  Marceau Coupechoux,et al.  Spatial Outage Probability for Cellular Networks , 2007, IEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference.

[3]  Alexandre Mouradian,et al.  Modeling dense urban wireless networks with 3D stochastic geometry , 2015, Perform. Evaluation.

[4]  Huilin Li,et al.  Optimizing coverage of 3D Wireless Multimedia Sensor Networks by means of deploying redundant sensors , 2015, ArXiv.

[5]  Stefan Kaiser,et al.  Spatial transmit diversity techniques for broadband OFDM systems , 2000, Globecom '00 - IEEE. Global Telecommunications Conference. Conference Record (Cat. No.00CH37137).

[6]  François Baccelli,et al.  A Stochastic Geometry Analysis of Dense IEEE 802.11 Networks , 2007, IEEE INFOCOM 2007 - 26th IEEE International Conference on Computer Communications.

[7]  J.-M. Kelif,et al.  Downlink fluid model of CDMA networks , 2005, 2005 IEEE 61st Vehicular Technology Conference.

[8]  Tijani Chahed,et al.  Admission Control in the Downlink of WCDMA/UMTS , 2004, EuroNGI Workshop.

[9]  Guidelines for evaluation of radio interface technologies for IMT-Advanced , 2008 .

[10]  Miao Pan,et al.  The capacity of three-dimensional wireless ad hoc networks , 2011, 2011 Proceedings IEEE INFOCOM.

[11]  Awais Khawar,et al.  Channel Modeling between Seaborne MIMO Radar and MIMO Cellular System , 2015, ArXiv.

[12]  Marceau Coupechoux,et al.  On the dimensioning of cellular OFDMA networks , 2012, Phys. Commun..

[13]  Andrew J. Viterbi,et al.  Other-cell interference in cellular power-controlled CDMA , 1994, IEEE Trans. Commun..

[14]  Alexandre Mouradian Modeling Dense Urban Networks with 3D Stochastic Geometry , 2015, ArXiv.

[15]  G.L. Stuber,et al.  3-D MIMO Mobile-to-Mobile Channel Simulation , 2007, 2007 16th IST Mobile and Wireless Communications Summit.

[16]  P. R. Kumar,et al.  Internets in the sky: capacity of 3D wireless networks , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[17]  Alexandre Proutière,et al.  Wireless downlink data channels: user performance and cell dimensioning , 2003, MobiCom '03.

[18]  A. Viterbi CDMA: Principles of Spread Spectrum Communication , 1995 .

[19]  Marceau Coupechoux,et al.  A Fluid Model for Performance Analysis in Cellular Networks , 2010, EURASIP J. Wirel. Commun. Netw..

[20]  François Baccelli,et al.  Stochastic geometry and wireless networks , 2009 .