This paper evaluates the performance of two PARAFAC-based receiver structures wireless communication systems based on code division multiple access (CDMA). Motivated by the multidimensional nature of the wireless signal, the PARAllel FACtor tensor decomposition (PARAFAC) is an interesting approach to mitigate multiuser interferences and to reconstruct the transmitted signal of each user at the base station receiver. Furthermore, the PARAFAC decomposition is a simple and elegant multidimensional decomposition that offers easily interpretable signal models for the considered systems. The two supervised receiver structures differ on the type of spreading code sequence employed at the transmitter, which can be either a conventional Hadamard-Walsh sequence or a truncated Hadamard-Walsh sequence. Performance evaluation of the two proposed receivers is made from the analysis of the bit error rate (BER) and the convergence speed.