Construction of near-complementary sequences of length n · 2m

The problem of constructing near-complementary sequences for peak power control in orthogonal frequency-division multiplexing (OFDM) is considered in this paper. In some applications, it is required that the sequences have various lengths as well as low peak-to-mean envelope power ratio (PMEPR). In this paper, we give a method for constructing length n · 2m-k near-complementary sequences by the aid of standard Golay sequences. The method is a generalization of the construction of Golay sequences given by Fielder et al. Our method transforms seed pairs of length n to near-complementary sequences of length n · 2m-k, while the PMEPR bound of these sequences is two times as many as that of the seed pairs. When the seed pairs are Golay pairs, a class of complementary sets of size 4 will be obtained. We will consider the number of sequences of length n · 2m-k with PMEPR ≤ 4 in the future.