Multi-user diversity with random number of users

Adarsh B. Narasimhamurthy, Cihan Tepedelenlioglu, Yuan Zhang

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


Multi-user diversity (MUD) is considered when the number of users in the system is random. Average throughput of a MUD system is shown to have a completely monotone derivative with respect to (deterministic) number of users. Following this, randomization of number of users is shown to give degraded throughput averaged across the number of users distribution. Using stochastic ordering theory, a framework for comparison of performance for different user distributions is provided. For Poisson distributed number of users communicating over Rayleigh faded channels, long-term average throughput is shown to scale as a double logarithmic function of average number of users.

Original languageEnglish (US)
Article number6112148
Pages (from-to)60-64
Number of pages5
JournalIEEE Transactions on Wireless Communications
Issue number1
StatePublished - Jan 2012


  • Multi-user diversity
  • completely monotone functions
  • stochastic ordering

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


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