A Sufficient Condition for General QAM Complementary Sequence Pairs

This paper investigates the construction of QAM Golay complementary sequence pairs (CSPs) based on standard binary Golay–Davis–Jedwab (GDJ) CSPs. In order to guarantee that the proposed construction produces QAM Golay CSPs, a sufficient condition that the coefficients of offsets should satisfy is developed, which is fit for finding all the coefficients by a computer. In particular, all the coefficients of offsets over the 64- and 256-QAM constellations are given. The proposed construction includes Zeng’s and Ma et al.’s ones as special cases. The inputs of resultant sequence pairs are binary signals rather than quaternary ones, which means that the resulting sequences are fit for such QAM systems that merely depend on binary inputs. The obtained QAM Golay CSPs can be applied to orthogonal frequency division multiplexing systems so as to reduce peak envelope power of their signals.