Near-Complementary Sequences of Various Lengths and Low PMEPR for Multicarrier Communications

New families of near-complementary sequences are presented for peak power control in multicarrier communications. A framework for near-complementary sequences is given by the explicit Boolean expression and the equivalent array structure. The framework transforms the seed pairs to the near-complementary sequences by the aid of Golay complementary sequences. As the examples, new families of near-complementary sequences with the peak-to-mean envelope power ratio (PMEPR) < 4 are presented, where the sequences provide various lengths by employing the seeds of shortened or extended Golay complementary pairs. The sequence families can find the potential applications for peak power control requiring codewords or sequences of various lengths as well as low PMEPR.