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New Construction of Optimal Type-II Binary Z-Complementary Pairs.
- Source :
-
IEEE Transactions on Information Theory . Jun2021, Vol. 67 Issue 6, p3497-3508. 12p. - Publication Year :
- 2021
-
Abstract
- A pair of sequences is called a Z-complementary pair (ZCP) if it has zero aperiodic autocorrelation sums at each of the non-zero time-shifts within a certain region, called the zero correlation zone (ZCZ). ZCPs are categorised into two types: Type-I ZCPs and Type-II ZCPs. Type-I ZCPs have the ZCZ around the in-phase position and Type-II ZCPs have the ZCZ around the end-shift position. Till now only a few constructions of Type-II ZCPs are reported in the literature, and all have lengths of the form 2m ± 1 or N + 1 where N = 2a 10b 26c and a, b, c are non-negative integers. In this paper, we propose a recursive construction of ZCPs based on concatenation of sequences. Inspired by Turyn’s construction of Golay complementary pairs, we also propose a construction of Type-II ZCPs from known ones. The proposed constructions can generate optimal Type-II ZCPs with new flexible parameters and Z-optimal Type-II ZCPs with any odd length. In addition, we give upper bounds for the PMEPR of the proposed ZCPs. It turns out that our constructions lead to ZCPs with low PMEPR. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGERS
*AUTOCORRELATION (Statistics)
*BINARY codes
*TILLAGE
Subjects
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 67
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 150448686
- Full Text :
- https://doi.org/10.1109/TIT.2020.3007670