Two-valued periodic complementary sequences

We present a novel transform for periodic complementary sets (PCSs) over two-valued alphabets from a large set of difference families. This is achieved by generalizing Golomb's idea in 1992, which was for transformed perfect sequences with zero autocorrelations only. Based on the properties of...

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Main Authors:	Li, Xudong, Liu, Zilong, Guan, Yong Liang, Fan, Pingzhi
Other Authors:	School of Electrical and Electronic Engineering
Format:	Article
Language:	English
Published:	2019
Subjects:	Difference Family Difference Set DRNTU::Engineering::Electrical and electronic engineering
Online Access:	https://hdl.handle.net/10356/105341 http://hdl.handle.net/10220/48874 http://dx.doi.org/10.1109/LSP.2017.2722423
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-105341
record_format	dspace
spelling	sg-ntu-dr.10356-1053412019-12-06T21:49:30Z Two-valued periodic complementary sequences Li, Xudong Liu, Zilong Guan, Yong Liang Fan, Pingzhi School of Electrical and Electronic Engineering Difference Family Difference Set DRNTU::Engineering::Electrical and electronic engineering We present a novel transform for periodic complementary sets (PCSs) over two-valued alphabets from a large set of difference families. This is achieved by generalizing Golomb's idea in 1992, which was for transformed perfect sequences with zero autocorrelations only. Based on the properties of difference family, a sufficient condition for such two-valued PCSs is derived. Systematic constructions of two-valued periodic complementary pairs are presented. It is shown that many lengths for which binary PCSs do not exist become admissible for our proposed two-valued PCSs. NRF (Natl Research Foundation, S’pore) Accepted version 2019-06-20T06:31:32Z 2019-12-06T21:49:30Z 2019-06-20T06:31:32Z 2019-12-06T21:49:30Z 2017 Journal Article Li, X., Liu, Z., Guan, Y. L., & Fan, P. (2017). Two-valued periodic complementary sequences. IEEE Signal Processing Letters, 24(9), 1270-1274. doi:10.1109/LSP.2017.2722423 1070-9908 https://hdl.handle.net/10356/105341 http://hdl.handle.net/10220/48874 http://dx.doi.org/10.1109/LSP.2017.2722423 en IEEE Signal Processing Letters © 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: https://doi.org/10.1109/LSP.2017.2722423 5 p. application/pdf
institution	Nanyang Technological University
building	NTU Library
country	Singapore
collection	DR-NTU
language	English
topic	Difference Family Difference Set DRNTU::Engineering::Electrical and electronic engineering
spellingShingle	Difference Family Difference Set DRNTU::Engineering::Electrical and electronic engineering Li, Xudong Liu, Zilong Guan, Yong Liang Fan, Pingzhi Two-valued periodic complementary sequences
description	We present a novel transform for periodic complementary sets (PCSs) over two-valued alphabets from a large set of difference families. This is achieved by generalizing Golomb's idea in 1992, which was for transformed perfect sequences with zero autocorrelations only. Based on the properties of difference family, a sufficient condition for such two-valued PCSs is derived. Systematic constructions of two-valued periodic complementary pairs are presented. It is shown that many lengths for which binary PCSs do not exist become admissible for our proposed two-valued PCSs.
author2	School of Electrical and Electronic Engineering
author_facet	School of Electrical and Electronic Engineering Li, Xudong Liu, Zilong Guan, Yong Liang Fan, Pingzhi
format	Article
author	Li, Xudong Liu, Zilong Guan, Yong Liang Fan, Pingzhi
author_sort	Li, Xudong
title	Two-valued periodic complementary sequences
title_short	Two-valued periodic complementary sequences
title_full	Two-valued periodic complementary sequences
title_fullStr	Two-valued periodic complementary sequences
title_full_unstemmed	Two-valued periodic complementary sequences
title_sort	two-valued periodic complementary sequences
publishDate	2019
url	https://hdl.handle.net/10356/105341 http://hdl.handle.net/10220/48874 http://dx.doi.org/10.1109/LSP.2017.2722423
_version_	1681035492672405504

Two-valued periodic complementary sequences

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