On the capture probability for a large number of stations

Bruce Hajek, Arvind Krishna, Richard O. Lamaire

Research output: Contribution to journalArticlepeer-review


The probability of capture under a model based on the ratio of the largest received power to the sum of interference powers is examined in the limit of a large number of transmitting stations. It is shown in great generality that the limit depends only on the capture ratio threshold and the roll-off exponent of the distribution of power received from a typical station. This exponent is insensitive to many typical channel effects such as Rician or Rayleigh fading and log-normal shadowing. The model is suitable for large systems with noncoherently combined interference. Index Terms- Direct-sequence spread-spectrum, log-normal shadowing, near-far effect.

Original languageEnglish (US)
Pages (from-to)254-260
Number of pages7
JournalIEEE Transactions on Communications
Issue number2
StatePublished - 1997

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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