New Methods to Construct Golay Complementary Sequences Over the QAM Constellation.

Abstract. In this paper, based on binary Golay complementary se-quences, we propose some methods to construct Golay complementary sequences of length 2n for integer n, over theM2-QAM constellation and 2M-Q-PAM constellations,where M = 2m for integer m. A method to judge whether a sequence constructed using the new general offset pairs over the QAM constellation is Golay complementary sequence is proposed. Base on this judging rule, we can construct many new Golay complementary sequences. In particular, we study Golay complementary sequences over 16-QAM constellation and 64-QAM constellation,many new Golay complementary sequences over these constellations have been found.