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

Abstract

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 N/pi of odd cross-correlation (OCC), where N 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.