Presented in this work are analytical expressions of the performance measure on the LMMSE estimate-based multiuser detector, including error probability expression and its computationally and notationally ecient approximations, signal to interference-plus-noise ratio, and asymptotic eciency. Also included in this work are adaptive implementation s c hemes of the LMMSE detector and the equivalent relation between them under appropriate assumptions. Simulations are included to show the tightness

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... f approximate results over a wide range of near-far ratio and various combinations of SNRs of interfering multiple-access users.