IEEE Access (Jan 2020)

A Construction of Binary Golay Complementary Sets Based on Even-Shift Complementary Pairs

  • Bingsheng Shen,
  • Yang Yang,
  • Zhengchun Zhou

DOI
https://doi.org/10.1109/ACCESS.2020.2972598
Journal volume & issue
Vol. 8
pp. 29882 – 29890

Abstract

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Orthogonal frequency division multiplexing (OFDM) has been widely used in multi-carrier communication systems. However, high the peak-to-average power ratio (PAPR) is a very troublesome problem in OFDM system. In the paper, we propose a construction of Golay complementary sets (GCSs) with size 4 of flexible lengths using even-shift complementary pairs (ESCPs). Based on computer search, we find that there exist a large number of even-shift complementary pairs of various lengths, and we also propose some constructions of ESCPs, which are very useful for the construction of GCSs.

Keywords