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An adaptive generalized RAKE receiver for Layered Space Time Coded CDMA (LSTC-CDMA) system has been proposed in this paper. The proposed Generalized RAKE receiver, based on a joint adaptive iterative detection and decoding algorithm, adaptively mitigates the effect of multipath fading and cancels the system interferences such as Co-Channel Interference (CCI) and Multiple Access Interference (MAI). The Partially Filtered Gradient Least Means Square (PFGLMS) algorithm is used for both feed-forward filter and feedback filter in the adaptive detection in order to determine the weight coefficient of each finger element. The performance of the system is evaluated by simulation results for the various numbers of RAKE fingers in multipath Rayleigh fading channels.