A novel construction of Z-complementary pairs based on generalized boolean functions

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52 Citations (Scopus)


Binary Golay complementary pairs exist for quite limited lengths whereas the binary Z-complementary pairs (ZCPs) are available for more lengths. Therefore, the ZCPs can potentially find more engineering applications. In this letter, we propose a novel construction of binary and nonbinary (q-ary for even q) ZCPs based on generalized Boolean functions. Both even- and odd-length ZCPs can be obtained by the proposed construction. Moreover, the sequence length, the width of zero correlation zone (ZCZ), and the constellation size are all very flexible. A family of ZCPs with large ZCZ widths is presented based on our construction where the width of ZCZ is larger than half of the sequence length. This proposed family includes some previous results on binary ZCPs as special cases.

Original languageEnglish
Article number7920405
Pages (from-to)987-990
Number of pages4
JournalIEEE Signal Processing Letters
Issue number7
Publication statusPublished - 2017 Jul

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Electrical and Electronic Engineering
  • Applied Mathematics


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