A novel CDMA receiver with enhanced interference suppression has been proposed for pilot symbols assisted systems over multipath channels. The receiver's design involves the following procedure. First, adaptive correlators are constructed based on the generalized sidelobe canceller (GSC) scheme to collect the multipath signals and suppress strong multiple access interference (MAI). In particular, a suggested new method can successfully eliminate coexisting time-varying narrowband interference (NBI). Second, partial adaptivity is incorporated into the GSC for reduced complexity processing. Finally, a simple combiner with channel estimation gives the symbol decisions. In order to enhance the performance of the adaptive correlators, an iterative decision aided scheme is introduced which subtracts the reconstructed signal from the GSC input data. The proposed partially adaptive CDMA receiver is shown to achieve nearly the same performance of the optimal maximum SINR and MMSE receivers while using a small number of pilot symbols.