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Quasi-maximum-likelihood multiuser detection using semi-definite relaxation with application to synchronous CDMA

Wing-Kin Ma, Davidson, T.N., Kon Max Wong, Zhi-Quan Luo, Pak-Chung Ching·2002·IEEE Transactions on Signal Processing

Abstract

The maximum-likelihood (ML) multiuser detector is well known to exhibit better bit-error-rate (BER) performance than many other multiuser detectors. Unfortunately,ML detection (MLD) is a nondeterministic polynomial-time hard (NP-hard) problem, for which there is no known algorithm that can find the optimal solution with polynomial-time complexity (in the number of users). In this paper, a polynomial-time approximation method called semi-definite (SD) relaxation is applied to the MLD problem with antipodal data transmission. SD relaxation is an accurate approximation method for certain NP-hard problems. The SD relaxation ML (SDR-ML) detector is efficient in that its complexity is of the order of K3.5, where K is the number of users. We illustrate the potential of the SDR-ML detector by showing that some existing detectors, such as the decorrelator and the linear-minimum-mean-square-error detector, can be interpreted as degenerate forms of the SDR-ML detector. Simulation results indicate that the BER performance of the SDR-ML detector is better than that of these existing detectors and is close to that of the true ML detector, even when the cross-correlations between users are strong or the near-far effect is significant.

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Metadata

Authors
Ma, W.-K., Davidson, T. N., Wong, K. M., Luo, Z.-Q., & Ching, P.-C.
Venue
IEEE Transactions on Signal Processing
Published
2002-04
Volume
50
Issue
4
Pages
912-922
ISSN
1053-587X (ISSN-L)
OpenAlex
W2134376819
Cited by
346
References
16
FWCI
21.96
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Quasi-maximum-likelihood multiuser detection using semi-definite relaxation with application to synchronous CDMA. https://app.cochat.ai/papers/10.1109/78.992139
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Ma, W.-K., Davidson, T. N., Wong, K. M., Luo, Z.-Q., & Ching, P.-C. (2002). Quasi-maximum-likelihood multiuser detection using semi-definite relaxation with application to synchronous CDMA. IEEE Transactions on Signal Processing. https://doi.org/10.1109/78.992139

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