A tighter correlation lower bound for quasi-complementary sequence sets

Levenshtein improved the famous Welch bound on aperiodic correlation for binary sequences by utilizing some properties of the weighted mean square aperiodic correlation. Following Levenshtein’s idea, a new correlation lower bound for quasi-complementary sequence sets (QCSSs) over the complex root...

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Main Authors: Liu, Zilong, Guan, Yong Liang, Mow, Wai Ho
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2014
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Online Access:https://hdl.handle.net/10356/103924
http://hdl.handle.net/10220/19320
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1039242020-03-07T14:00:34Z A tighter correlation lower bound for quasi-complementary sequence sets Liu, Zilong Guan, Yong Liang Mow, Wai Ho School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering Levenshtein improved the famous Welch bound on aperiodic correlation for binary sequences by utilizing some properties of the weighted mean square aperiodic correlation. Following Levenshtein’s idea, a new correlation lower bound for quasi-complementary sequence sets (QCSSs) over the complex roots of unity is proposed in this paper. The derived lower bound is shown to be tighter than the Welch bound for QCSSs when the set size is greater than some value. The conditions for meeting the new bound with equality are also investigated. Accepted version 2014-05-12T02:38:01Z 2019-12-06T21:23:12Z 2014-05-12T02:38:01Z 2019-12-06T21:23:12Z 2014 2014 Journal Article Liu, Z., Guan, Y. L., & Mow, W. H. (2014). A Tighter Correlation Lower Bound for Quasi-Complementary Sequence Sets. IEEE Transactions on Information Theory, 60(1), 388-396. 0018-9448 https://hdl.handle.net/10356/103924 http://hdl.handle.net/10220/19320 10.1109/TIT.2013.2285212 en IEEE transactions on information theory © 2014 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: [http://dx.doi.org/10.1109/TIT.2013.2285212]. 9 p. application/pdf
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic DRNTU::Engineering::Electrical and electronic engineering
spellingShingle DRNTU::Engineering::Electrical and electronic engineering
Liu, Zilong
Guan, Yong Liang
Mow, Wai Ho
A tighter correlation lower bound for quasi-complementary sequence sets
description Levenshtein improved the famous Welch bound on aperiodic correlation for binary sequences by utilizing some properties of the weighted mean square aperiodic correlation. Following Levenshtein’s idea, a new correlation lower bound for quasi-complementary sequence sets (QCSSs) over the complex roots of unity is proposed in this paper. The derived lower bound is shown to be tighter than the Welch bound for QCSSs when the set size is greater than some value. The conditions for meeting the new bound with equality are also investigated.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Liu, Zilong
Guan, Yong Liang
Mow, Wai Ho
format Article
author Liu, Zilong
Guan, Yong Liang
Mow, Wai Ho
author_sort Liu, Zilong
title A tighter correlation lower bound for quasi-complementary sequence sets
title_short A tighter correlation lower bound for quasi-complementary sequence sets
title_full A tighter correlation lower bound for quasi-complementary sequence sets
title_fullStr A tighter correlation lower bound for quasi-complementary sequence sets
title_full_unstemmed A tighter correlation lower bound for quasi-complementary sequence sets
title_sort tighter correlation lower bound for quasi-complementary sequence sets
publishDate 2014
url https://hdl.handle.net/10356/103924
http://hdl.handle.net/10220/19320
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