Behaviour of Lognormally-Distributed Differential Functions of Rain Drop Profiles over Radio Links

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1 Citation (Scopus)

Abstract

Rainfall attenuation is undoubtedly one of the factors to be considered in the deployment of outdoor 5G services as the system rollout becomes inevitable. In this paper, the rainfall subject is approached from the microstructure of rain drop sizes, by utilizing derivatives of the Type II Lognormal Drop Size Distribution (DSD) model. DSD measurements from three African locations-Durban, South Africa (29o52'S, 30o58'E), Butare, Rwanda (2o36'S, 29o44'E) and Ile-Ife, Nigeria (7o31'N, 4o31'E)-are investigated as first order and second order Differential Equations (DEs). General expressions representing these DEs are developed and applied to derivative scenarios for different rainfall rate categories: 20 mm/h, 60 mm/h and 110 mm/h. These scenarios represent shower events, thunderstorm events and severe thunderstorm events. Results obtained show that a good overview of DSD variations is realized from these derivatives, when compared with the measured diameter spectrum. The compared DSD characteristics at these selected locations offer an interesting perspective on the behaviour of lognormal distributions at these selected locations.

Original languageEnglish
Title of host publication2019 IEEE 2nd Wireless Africa Conference, WAC 2019 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728136189
DOIs
Publication statusPublished - Aug 2019
Event2nd IEEE Wireless Africa Conference, WAC 2019 - Pretoria, South Africa
Duration: 18 Aug 201920 Aug 2019

Publication series

Name2019 IEEE 2nd Wireless Africa Conference, WAC 2019 - Proceedings

Conference

Conference2nd IEEE Wireless Africa Conference, WAC 2019
Country/TerritorySouth Africa
CityPretoria
Period18/08/1920/08/19

Keywords

  • Radio propagation
  • differential equations
  • lognormal distribution
  • rain drop size distribution
  • rainfall attenuation

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Networks and Communications
  • Hardware and Architecture
  • Signal Processing
  • Software
  • Instrumentation
  • Development

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