Stability of CDMA data networks with fixed and adaptive MMSE receivers

The stability of a direct-sequence code-division multiple-access (DS-CDMA) packet data network employing minimum-mean squared-error (MMSE) receivers is investigated. It is observed that, in contrast to prior work, conditions exist under which the MMSE receiver system exhibits bistable behavior. Howe...

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Bibliographic Details
Main Authors: Mitra, U., Vijayakumar, R., Wasserman, K.M.
Format: Conference Proceeding
Language:English
Subjects:
Adaptive systems
Base stations
Least squares methods
Matched filters
Multiaccess communication
Random processes
Redundancy
Stability
Stochastic processes
Stochastic systems
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Summary:The stability of a direct-sequence code-division multiple-access (DS-CDMA) packet data network employing minimum-mean squared-error (MMSE) receivers is investigated. It is observed that, in contrast to prior work, conditions exist under which the MMSE receiver system exhibits bistable behavior. However, for a sufficiently large user population, it can be shown that the stochastic MMSE receiver system has a high probability in any given neighborhood of a single operating point, which can be shown to be a globally stable equilibrium point of an associated deterministic system. In addition, adaptive versions of the MMSE receiver based on least-mean squares and recursive least squares are considered. Again, if the adaptation parameters are properly chosen to ensure a limited amount of excess mean-squared error, the DS-CDMA packet data network with adaptive MMSE receivers is also stable in the sense defined herein.
ISSN:1058-6393
2576-2303
DOI:10.1109/ACSSC.1999.832321