Novel Constructions of Complementary Sets of Sequences of Lengths Non-Power-of-Two

Abstract

This letter presented several new constructions of complementary sets (CSs) with flexible sequence lengths using matrix transformations. The constructed CSs of size 4 have different lengths, namely N + L and 2N + L, where N and L are the lengths for which complementary pairs exist. Also, presented CSs of size 8 have lengths N + P, P + Q and 2P + Q, where N is length of complementary pairs, P and Q are lengths of CSs of size 4 exist. The achieved designs can be easily extended to a set size of 2^{n + 2} by recursive method. The proposed constructions generalize some previously reported constructions along with generating CSs under fewer constraints.