With a deep analysis of the signal characteristics of CDMA receiver on unideal power control instance, the current research deduced the receiving signal model of multi-cell. Furthermore, the research presented the asynchronous multi-user detection method based on FastICA, which is naturally near-far and multiple-access interference resistant. The simulation results show that: this method has less iterative time, small computational complexity and good performance of multi-user detection, which can enhance the capability of multi-user receiver and is very suitable for asynchronous multi-user detection on unideal power control.