In the's paper, we take into consideration a recently-proposed lo low-complexity Blind Adaptive Interfe-rence-rejection Detector (BAID) scheme that minimizes the detrimental effect of the Multiple Access Interference (MAI) on the Bit-Error Rate (BER) performance of the data demodulator for Direct-Sequence/Spread-Spectrum (DS/SS) signals in CDMA radio networks. Specifically, we describe a few modifications to the original algorithm that mate it more suitable to a practical implementation with QPSK-modulated DS/SS signals and asynchronous multiplexing, and we evaluate the performance of such extended detector an the case of coherent signal detection.