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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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 |
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DR-NTU |
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English |
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Difference Family Difference Set DRNTU::Engineering::Electrical and electronic engineering |
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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 |