A unified approach for modeling fading channels using infinitely divisible distributions

Adithya Rajan, Cihan Tepedelenlioglu, Ruochen Zeng

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This paper proposes to unify fading distributions by modeling the instantaneous SNR as an infinitely divisible random variable, which is a known class of random variables from the probability theory literature. A random variable is said to be infinitely divisible if it can be written as a sum of n-geq 1 independent and identically distributed random variables for each n. The proposed unification subsumes several classes of multipath and shadowing fading distributions previously proposed in the wireless communication literature. We show that infinitely divisible random variables have many useful mathematical properties that are applied in the performance analysis of wireless systems. Specific applications include diversity analysis and partial ordering of fading distributions.

Original languageEnglish (US)
Article number8053830
Pages (from-to)10194-10206
Number of pages13
JournalIEEE Transactions on Vehicular Technology
Issue number11
StatePublished - Nov 2017


  • Infinitely divisible
  • stochastic ordering
  • unification of fading models

ASJC Scopus subject areas

  • Automotive Engineering
  • Aerospace Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics


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