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In this paper, a minimum mean square error successive interference cancellation(SIC) detector based on multiple parallel branches of cost function(CF) and ordering mode(OM) is proposed for multiple-input multiple-output space multiplexing system. Specifically, a selection rule is designed to select the branch with the best performance of the cost function, and the SIC algorithm in each branch can detect the signal according to the signal-to-interference-plus-noise ratio form high to low by using different detection ordering modes, so as to realize the full detection diversity. In order to further reduce the computational complexity of the algorithm, an effective adaptive receiver Sis proposed to update the filter weight vector using the recursive least squares algorithm. Simulation results show that,compared with the existing algorithms, the proposed algorithm not only has lower computational complexity, but also can obtain better bit error rate performance.