A Sufficient Condition Producing 16-QAM Golay Complementary Sequences

This letter discusses the construction of 16-quadratic amplitude modulation (QAM) Golay complementary sequences of length N = 2^m. Based on the standard binary Golay-Davis-Jedwab (GDJ) complementary sequences (CSs), we present a method to convert the aforementioned GDJ CSs into the required sequences. The resultant sequences have the upper bounds 3.6N, 2.8N, 2N, 1.2N, and 0.4N of peak envelope powers, respectively, depending on the choices of their offsets. The numbers of the proposed sequences, corresponding to five upper bounds referred to above, are (24m - 16)(m!/2)2^m+1, 128(m - 1)(m!/2)2^m+1, (176m - 160)(m!/2)2^m+1, 128(m - 1)(m!/2)2^m+1, and (24m - 16)(m!/2)2^m+1. Our sequences can be potentially applied to the QAM systems whose input signals are binary signals.