Optimum asymptotic multiuser efficiency of randomly spread CDMA

  • Authors:
  • D. N.C. Tse;S. Verdu

  • Affiliations:
  • Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

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