Coverage Analysis and Scaling Laws in Ultra-Dense Networks

Imene Trigui, Sofiene Affes, Marco Di Renzo, Dushantha Nalin K. Jayakody

Research output: Contribution to journalArticlepeer-review


In this paper, we develop an innovative approach to quantitatively characterize the performance of ultra-dense wireless networks in a plethora of propagation environments. The proposed framework has the potential of simplifying the cumbersome procedure of analyzing the coverage probability and allowing the unification of single- and multi-antenna networks through compact analytical representations. By harnessing this key feature, we develop a novel statistical machinery to study the scaling laws of wireless networks densification considering general channel power distributions including small-scale fading and shadowing as well as associated beamforming and array gains due to the use of multiple antenna. We further formulate the relationship between network density, antenna height, antenna array seize and carrier frequency showing how the coverage probability can be maintained with ultra-densification. From a system design perspective, we show that, if multiple antenna base stations are deployed at higher frequencies, monotonically increasing the coverage probability by means of ultra-densification is possible, and this without lowering the antenna height. Simulation results substantiate performance trends leveraging network densification and antenna deployment and configuration against path loss models and signal-to-noise plus interference thresholds.

Original languageEnglish
JournalIEEE Transactions on Communications
Publication statusAccepted/In press - 2021


  • antenna height
  • Array signal processing
  • coverage probability
  • Fading channels
  • Fox’s H-fading
  • Interference
  • Mathematical model
  • millimeter wave
  • MIMO
  • MIMO communication
  • Network densification
  • Shadow mapping
  • Signal to noise ratio
  • stochastic geometry

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Coverage Analysis and Scaling Laws in Ultra-Dense Networks'. Together they form a unique fingerprint.

Cite this