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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التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Li, Xudong, Liu, Zilong, Guan, Yong Liang, Fan, Pingzhi
مؤلفون آخرون: School of Electrical and Electronic Engineering
التنسيق: مقال
اللغة:English
منشور في: 2019
الموضوعات:
الوصول للمادة أونلاين: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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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
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