Large‐Scale Fading Behavior for a Cellular Network with Uniform Spatial Distribution

Document Type


Publication Date



Cellular Communication, Cellular Network, Cellular Radio, Mobile Communication, Mobile Network, Mobile Radio, Stochastic Geometry, Spatial Distribution, Uniform Distribution, Network Geometry, Network Deployment, Geometry, Hexagon, Large-Scale Fading, Path Loss, Shadowing, Interference, Monte Carlo Simulation, Random Number Generation, Statistical Modeling, Statistical Analysis


Large‐scale fading (LSF) between interacting nodes is a fundamental element in radio communications, responsible for weakening the propagation, and thus worsening the service quality. Given the importance of channel‐losses in general, and the inevitability of random spatial geometry in real‐life wireless networks, it was then natural to merge these two paradigms together in order to obtain an improved stochastical model for the LSF indicator. Therefore, in exact closed‐form notation, we generically derived the LSF distribution between a prepositioned reference base‐station and an arbitrary node for a multi‐cellular random network model. In fact, we provided an explicit and definitive formulation that considered at once: the lattice profile, the users' random geometry, the effect of the far‐field phenomenon, the path‐loss behavior, and the stochastic impact of channel scatters. The veracity and accuracy of the theoretical analysis were also confirmed through Monte Carlo simulations.


Faculty of Applied Science & Technology (FAST)


Wiley's Wireless Communications and Mobile Computing Journal





Peer Reviewed/Refereed Publication


Terms of Use

Terms of Use for Works posted in SOURCE.

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Original Publication Citation

M. Abdulla and Y. R. Shayan, (2016). Large-Scale Fading Behavior for a Multi-Cellular Network with Uniform Spatial Distribution, Wiley's Wireless Communications and Mobile Computing Journal, 16 (7). 748-764.