New Constructions of 16-QAM Periodic Complementary Sequences

In this letter, we present a family of 16-QAM periodic complementary sequences (PCSs), including three constructions. Our basic idea is to transform the known quaternary PCSs/GCSs (Golay complementary sequences) into the required ones. In order to guarantee that such transformation of every construction is successful, the own sufficient conditions of three constructions are derived, respectively. Our methods can provide quite rich 16-QAM periodic PCSs, whose main parameters up to period 50 and number 12 of sub-sequences are given in Table 1, from a large number of available quaternary PCSs/GCSs, which can potentially satisfy the requirements of communication systems making use of 16-QAM constellation.