Optimum asymptotic multiuser efficiency of randomly spread CDMA

David N.C. Tse; Sergio Verdü

doi:10.1109/18.887887

Optimum asymptotic multiuser efficiency of randomly spread CDMA

David N.C. Tse, Sergio Verdü

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

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.

Original language	English (US)
Pages (from-to)	2718-2722
Number of pages	5
Journal	IEEE Transactions on Information Theory
Volume	46
Issue number	7
DOIs	https://doi.org/10.1109/18.887887
State	Published - Nov 2000

All Science Journal Classification (ASJC) codes

Information Systems
Computer Science Applications
Library and Information Sciences

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10.1109/18.887887

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title = "Optimum asymptotic multiuser efficiency of randomly spread CDMA",

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.",

author = "Tse, {David N.C.} and Sergio Verd{\"u}",

note = "Funding Information: Manuscript received November 3, 1999; revised May 29, 2000. This work was supported by the NSF under CAREER Award and the U.S. Army Research Office under Grant DAAH04-96-1-0379. The material in this correspondence was presented in part at the Information Theory Workshop, Santa Fe, NM, February 1999.",

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AU - Verdü, Sergio

N1 - Funding Information: Manuscript received November 3, 1999; revised May 29, 2000. This work was supported by the NSF under CAREER Award and the U.S. Army Research Office under Grant DAAH04-96-1-0379. The material in this correspondence was presented in part at the Information Theory Workshop, Santa Fe, NM, February 1999.

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N2 - 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.

AB - 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.

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Optimum asymptotic multiuser efficiency of randomly spread CDMA

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