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In this paper we propose an adaptive widely linear (WL) minimum output energy (MOE) algorithm to suppress interference in DS-CDMA systems. In contrast to prior work which could handle only real-valued modulation, the proposed algorithm is applicable to both real- and complex-valued modulation utilizing the recursive least-squares (RLS) algorithm for adaptive training of the filter taps. SINR of the conventional MOE algorithms as well as the proposed algorithm are expressed and compared rigorously. Simulation results further confirm the performance comparison.