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

Abstract

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. INDEX TERMS Orthogonal frequency division multiplexing (OFDM), peak-to-average power ratio (PAPR), even-shift complementary pairs, Golay complementary sets.

Direct Constructions of Multiple Shift Complementary Sets of Flexible Lengths

“…Later Chen et al provided a direct construction of MSCS using GBFs [16] with sequence length of the form of power-of-two. In [17], the authors studied even-shift complementary pairs, which is a special case of MSCS, where AACF sum equals zero when the time shift is even. Also, in this case the number of constituent sequences in the set or the set size is 2.…”