Activity detection in a multi-user environment

U. Mitra, H. Vincent Poor

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


The detection of a weak stochastic signal in multi-variate impulsive noise is investigated. The signal is that of a new user in a Code-Division Multiple-Access multi-user system. A particular type of transformation noise is considered: the transmitted signal vector is modified by a linear transformation prior to signal detection thereby yielding a signal process and noise process that are dependent from component to component of the received vector. The linear operator is designed to combat multiple-access interference. The effect of such a transformation is studied by deriving the efficacies and asymptotic relative efficiencies of several detectors. Both linear and nonlinear cross-correlator detector structures are examined. The performance of the detectors is determined for two types of non-Gaussian noise: additive channel noise and residual multiple-access interference noise. The numerical results are consistent with previous findings and motivate the investigation of a hybrid detector which is composed of a combination of the linear correlator and the polarity coincidence correlator. The asymptotic normality of the test statistics under study is also investigated.

Original languageEnglish (US)
Pages (from-to)149-174
Number of pages26
JournalWireless Personal Communications
Issue number1-2
StatePublished - 1996

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Electrical and Electronic Engineering


  • Activity detection
  • CDMA
  • Distribution-free detection
  • Multi-user detection
  • Non-Gaussian noise


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