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This article proposes an improved generalized side-lobe canceller(GSC)receiver structure based on a new group constraint,which is suitable to eliminate multiple-access interference(MAI),inter-symbol interference(ISI)in direct-sequence code-division multiple access(DS/CDMA)downlink multi-user system.The new group constraint is deduced to construct the group-blind adaptive multi-user detector.The analysis indicates that the improved GSC under the new constraint not only retains the property of suppressing ISI and canceling MAI,but also can extract useful information from the succeeding bit for the desired user.The simulations show that the improved GSC filter can cancel the MAI efficiently whether the wireless channel length is short or long,and achieve better performance than other compared filters.