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Asymptotic Analysis of General Multiuser Detectors in MIMO DS-CDMA Channels

Information Theory 2016-11-17 v1 math.IT

Abstract

We analyze a MIMO DS-CDMA channel with a general multiuser detector including a nonlinear multiuser detector, using the replica method. In the many-user, limit the MIMO DS-CDMA channel with the multiuser detector is decoupled into a bank of single-user SIMO Gaussian channels if a spatial spreading scheme is employed. On the other hand, it is decoupled into a bank of single-user MIMO Gaussian channels if a spatial spreading scheme is not employed. The spectral efficiency of the MIMO DS-CDMA channel with the spatial spreading scheme is comparable with that of the MIMO DS-CDMA channel using an optimal space-time block code without the spatial spreading scheme. In the case of the QPSK data modulation scheme the spectral efficiency of the MIMO DS-CDMA channel with the MMSE detector shows {\it waterfall} behavior and is very close to the corresponding sum capacity when the system load is just below the transition point of the {\it waterfall} behavior. Our result implies that the performance of a multiuser detector taking the data modulation scheme into consideration can be far superior to that of linear multiuser detectors.

Keywords

Cite

@article{arxiv.0706.3170,
  title  = {Asymptotic Analysis of General Multiuser Detectors in MIMO DS-CDMA Channels},
  author = {Keigo Takeuchi and Toshiyuki Tanaka and Toru Yano},
  journal= {arXiv preprint arXiv:0706.3170},
  year   = {2016}
}
R2 v1 2026-06-21T08:40:44.508Z