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This paper proposes a parallel interference cancellation for multi-carrier DS-CDMA (which is termed FDC-PIC) by integrating frequency diversity combining. The simulations are made over FDC-PIC with respect to hard, soft and linear decisions, respectively, and we conclude that FDC-PIC acquires superior performance improvement over match-filtered (MF) receiver of multi-carrier DS-CDMA. With an increase in interference cancellation stages, the system performance improves further. The initial 2 stages bring the most dominant performance improvement, but up to the 3rd stage the system performance improves little. It is also shown by the simulation results that FDC-PIC with soft decision would exhibit the best performance with a high implementation complexity, while FDC-PIC with linear decision acquires performance comparable to that of FDC-PIC with soft decision with a reduced-complexity if the number of the interference cancellation stages is the same, which indicates that FDC-PIC with linear decision has optimal performance/complexity tradeoff and therefore promises for practical application in future.