Recursive construction of Golay sequences

This paper presents recursive construction of Golay complementary sequences in order to give a flexibility to GCS length and the constellation. The recursive constructions for QPSK-GCS, 8PSK-GCS, and 8QAM-GCS have upper bound (3 dB) of PAPR and the constellation aggregation of 8-PSK and 8-QAM constitutes 16-QAM. The GCS are applied to orthogonal frequency division multiplexing (OFDM) systems to design the channel code providing both error correction capability and to generate the training sequence with low PAPR.