Minimum probability of error for asynchronous Gaussian multiple-access channels
IEEE Transactions on Information Theory
Multiuser Detection
MMSE multiuser detection in multipath fading channels
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 05
Probability of error in MMSE multiuser detection
IEEE Transactions on Information Theory
Linear multiuser detectors for synchronous code-division multiple-access channels
IEEE Transactions on Information Theory
On the relative error probabilities of linear multiuser detectors
IEEE Transactions on Information Theory
A family of suboptimum detectors for coherent multiuser communications
IEEE Journal on Selected Areas in Communications
Wireless Personal Communications: An International Journal
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The minimum-mean-square-error (MMSE) linear multiuser detector considers multiple access interference (MAI) and background Gaussian noise asymptotically Gaussian for a large number of users in asynchronous code division multiple access (CDMA) system. For this asymptotic condition, the MMSE detector outperforms the decorrelating detector only if the value of normalized cross-correlation (NCC) for any pair of code sequence is less than or equal to numerically derived upper bounded value. The available results in literature have been derived for two-user case. In this paper, we have presented a general formula to calculate upper bound on NCC for arbitrary number of users under near-far situation. We also propose Chernoff bound on error probability of MMSE multiuser detector. Its proof based on divergence theorem and study of leakage coefficients for more than two users imposes the stringent condition on signal-to-noise ratio of desired user.