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This work analyzes the benefit of power control and multi-user linear detection for CDMA uplink transmissions. Several papers have recently shown a benefit for such an approach in the case of synchronous uplink transmissions without multipath propagation. We study the impact of a multi-path channel on the system level performance. ZF and MMSE multi-user block linear receivers are considered for various scenarios to compare them and to evaluate the influence of multipath propagation and of out-cell interference on performance. The results are compared to the performance obtained with a RAKE receiver.