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In this paper, an efficient method for multiuser detection of Code Division Multiple Access (CDMA) signals is proposed which provides soft output with remained noise distribution close to Gaussian. Therefore the proposed algorithm is efficient for both coded and uncoded signals. This algorithm is simulated for BPSK signals with random spreading. The performance of the receiver is analyzed in terms of Bit Error Rate (BER) of each user for under load, full load and overload conditions. Simulation results show that performance of the proposed algorithm is very close to optimum receiver for both coded and uncoded user signals, moreover, it also outperforms the previous proposed algorithms.