Golay Complementary Sets and Multiple-Shift Complementary Sets with Non-Power-of-Two Length and Bounded PAPRs

Yu Jen Lin, Zhen Ming Huang, Chao Yu Chen

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The Golay complementary set (GCS) has been applied in OFDM systems because of its desirable property of low peak-to-average power ratios (PAPRs). A generalization of GCS which is called the multiple-shift complementary set (MSCS) was also introduced to have bounded PAPRs. In addition, the MSCSs can be used to construct GCSs. In this letter, we first provide a more generalized construction of GCSs with non-power-of-two length. Then, a direct construction of MSCSs of non-power-of-two length is proposed based on the generalized Boolean functions. Moreover, a connection between the constructed GCSs and MSCSs is provided and hence the PAPR upper bound of the constructed MSCSs is derived. The proposed GCSs and MSCSs can have various lengths, set sizes, and bounded PAPRs.

Original languageEnglish
Article number9474468
Pages (from-to)2805-2809
Number of pages5
JournalIEEE Communications Letters
Volume25
Issue number9
DOIs
Publication statusPublished - 2021 Sep

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering

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