New construction of 16-QAM Golay complementary sequence pairs from standard binary GDJ complementary sequence pairs

This paper focuses on the construction of 16-QAM Golay complementary sequence pairs (CSPs) of length N = 2ⁿ. Based on the standard binary Golay-Davis-Jedwab (GDJ) CSPs, we present a method so as to convert the aforementioned GDJ sequence pairs into the required sequence pairs. The resultant sequence pairs have the upper bound ^2N of peak envelope power (PEP), and their family size arrives at (20n-16)(n!/2)2ⁿ⁺¹ Our sequence pairs can be used as the inputs of the QAM signals apparatuses driven only by binary signals.