A new polyphase sequence with perfect even and good odd cross-correlation functions for DS/CDMA systems

In this paper, a class of polyphase signature sequences for direct-sequence code-division multiple-access (DS/CDMA) systems is proposed. The proposed class has zero periodic (= even) cross-correlation (CC) function and approximate maximum magnitude of odd cross-correlation (OCC), where is the length of sequences. Although the maximum magnitude is relatively large, it is observed that the maximum magnitude has little effect on the performance of the DS/CDMA system, since its frequency is very low. The performance of the proposed sequence in DS/CDMA systems is investigated and shown to be better than that of other sequences for asynchronous additive white Gaussian noise channel environment with and without Rayleigh multipath fading.