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The widely linear(WL) minimum output energy (MOE) algorithm for code division multiple access receiver is widely researched recently. The WL-MOE filter, which can also be applied in complex valued modulation with improvement, can provide twice users in improper signal. These paper uses least mean square(LMS) whose adaptive rate is some slow. The paper develops the variable step size WL-LMS which can afford better performance than WL-MOE filter.