16-QAM Golay Complementary Sequence Sets with Arbitrary Lengths

In an orthogonal frequency division multiplexing (OFDM) communication system, the reduction of peak-to-mean envelope power ratio (PMEPR) is one of crucial issues. It is all known that in an OFDM system, Golay complementary sequence (CS) pairs result in lowest upper bound 2 of PMEPR. Hence, this letter focuses on constructions of 16-QAM Golay CS sets. The proposed two constructions can produce the required sequences with arbitrary lengths, including lots of unknown ones in the existing references, if there exist the quaternary Golay CS sets of such lengths, and the PMEPRs of the Golay CS pairs from both are at most 2. As a consequence, the resultant sequences by this letter can be used as the inputs of using non-radix-2 inverse fast Fourier transform (IFFT) in the time domain OFDM signals.