A method to construct complementary sets of non-power-of-two length by concatenation

摘要

The existing constructions of Golay complementary sets based on generalized Boolean functions are limited to lengths, which are powers of two. In a recent paper, Chen [3] proposed a new construction of binary and nonbinary complementary sets of non-power-of-two length based on truncated method. In this paper, we proposed a novel construction of ç-ary complementary sets based on the concatenation of the sequences in Golay pair or set. It is proved the construction in [3] is a special case of the new construction in this paper. The sequences in the constructed complementary sets can be applied in practical OFDM systems where the number of used subcarriers is not a power of two. It is also showed the code rate of our construction is almost twice of the construction in [3] for some special lengths.