Two Constructions of Quaternary Periodic Complementary Pairs

Two sequences are called a periodic (resp., an odd periodic) complementary pair if the sum of their periodic (resp., odd periodic) autocorrelation functions is a delta function. As a generalization of the well-known Golay sequence pairs, (odd) periodic complementary sequence pairs have important app...

Full description

Saved in:
Bibliographic Details
Published in:IEEE communications letters 2018-12, Vol.22 (12), p.2507-2510
Main Authors: Zhou, Zhengchun, Li, Jiangdong, Yang, Yang, Hu, Su
Format: Article
Language:English
Subjects:
Autocorrelation functions
Binary sequences
Delta function
Distance measurement
Error correction codes
Mapping
odd periodic complementary pair
periodic complementary pair
quaternary sequences
Radar applications
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Two sequences are called a periodic (resp., an odd periodic) complementary pair if the sum of their periodic (resp., odd periodic) autocorrelation functions is a delta function. As a generalization of the well-known Golay sequence pairs, (odd) periodic complementary sequence pairs have important applications in radar, ranging, and communications. The objective of this letter is to present two generic constructions of quaternary periodic complementary pairs (PCPs). The first construction is based on binary odd PCPs and the Gray mapping. The second one is on the strength of the product sequences of a known quaternary sequence of odd length and a perfect quaternary sequence. Both constructions generate quaternary PCPs with new parameters which are not covered in the literature.
ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2018.2876530