Journal
IEEE SIGNAL PROCESSING LETTERS
Volume 26, Issue 12, Pages 1931-1934Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LSP.2019.2954805
Keywords
Aperiodic correlation; Golay complementary pair (GCP); odd-length binary aperiodic Z-complementary pair (OB-ZCP); zero correlation zone (ZCZ); Z-complementary pair (ZCP)
Categories
Funding
- NSFC-NRF Project [61661146003]
- NRF-NSFC Project [NRF2016NRF-NSFC001-089]
- Sichuan Science and Technology Program [2018JY0046]
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A pair of sequences is called odd-length binary Z-complementary pair (OB-ZCP) if it is of odd-length and has zero aperiodic autocorrelation sums (AACSs) for all time-shifts within a certain region around the in-phase position, commonly known as zero correlation zone (ZCZ). There are two types of OB-ZCPs, namely Type-I OB-ZCPs and Type-II OB-ZCPs. Type-I OB-ZCPs have ZCZ around the in-phase position. Type-II OB-ZCPs have the ZCZ around the end-shift position. An OB-ZCP (Type-I or Type-II) of odd-length N is called Z-optimal if it achieves a maximum ZCZ width of (N+1)/2. To date, a systematic construction of Type-II Z-optimal OB-ZCPs exist only for very limited lengths of the form is a positive integer. It employs insertion method and delete method on binary Golay complementary pairs (GCPs) of length derived from second order Reed-Muller codes. In this article, based on iterative insertion method, we construct Type-II Z-optimal OB-ZCPs of lengths 2(m) +3.
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