Construction of 16-QAM complementary sequences from non-standard generalized boolean functions

The given examples show that the standard 16-QAM Golay-Davis-Jedwab (GDJ) complementary sequences (CSs) cannot be yielded whenever the non-standard generalized Boolean functions (GBFs) are fed to Chong, et al's construction. Due to the fact that there exist a large number of the non-standard GBFs available, this paper focuses on the conversion from a non-standard GBF to 16-QAM CSs. By improving Chong, et al's construction, we present a new construction in which one of its inputs is the non-standard GBFs. For a given non-standard GBF, the number of the resultant 16-QAM CSs is determined as well. The proposed sequences can be applied to a CDMA or an OFDM communication system so as to remove multiple access interference (MAI) or to reduce peak-to-mean envelope power ratio (PMEPR), respectively.