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

  • WANG Longye
    School of Electrical Engineering and Information, Southwest Petroleum University
  • LIU Houshan
    School of Electrical Engineering and Information, Southwest Petroleum University
  • ZENG Xiaoli
    School of Information Science and Technology, Tibet University
  • YU Qingping
    School of Electrical Engineering and Information, Southwest Petroleum University

抄録

<p>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 2n+2 by recursive method. The proposed constructions generalize some previously reported constructions along with generating CSs under fewer constraints.</p>

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