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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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 |
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NTU Library |
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Singapore |
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| language |
English |
| topic |
DRNTU::Engineering::Electrical and electronic engineering |
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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 |
| _version_ |
1681038177305886720 |