Multiple-shift complementary sequences and their peak-to-average power ratio values

This paper investigate the extension of Golay complementary sequences to a larger family of sequences which we call multiple L-shift complementary sequences ( L 2 I ). It is well-known that the peak-to-average power ratio (PAPR) value of any Golay complementary sequence is less than or equal to 2. We show that the PAPR of each multiple L-shift complementary sequence is less than or equal to 2L. Other properties of multiple L-shift complementary sequences are also discussed.