Optimum asymptotic multiuser efficiency of randomly spread CDMA

David N.C. Tse, Sergio Verdü

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


This correspondence analyzes the high signal-to-noise ratio (SNR) performance of optimum multiuser detectors for synchronous direct-sequence spread spectrum with random spreading in an additive white Gaussian noise channel. Under very general conditions on the received powers, we show that the optimum asymptotic efficiency of a K-user system with spreading gain N converges to 1 almost surely as K → ∞, and K/N is kept equal to an arbitrary nonzero constant. Therefore, the asymptotic behavior of the minimum bit error rate is equivalent to that of a single-user system.

Original languageEnglish (US)
Pages (from-to)2718-2722
Number of pages5
JournalIEEE Transactions on Information Theory
Issue number7
StatePublished - Nov 2000

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


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