New sets of even-length binary Z-complementary pairs with asymptotic ZCZ ratio of 3/4
This letter is focused on increasing the zero correlation zone (ZCZ) of even-length binary Z-complementary pairs (EB-ZCPs). Till date, the maximum ZCZ ratio (i.e., ZCZ width over the sequence length) for systematically constructed EB-ZCPs is 2/3. In this letter, we give a construction of EB-ZCPs wit...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/140241 |
| _version_ | 1826120986276134912 |
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| author | Adhikary, Avik Ranjan Majhi, Sudhan Liu, Zilong Guan, Yong Liang |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Adhikary, Avik Ranjan Majhi, Sudhan Liu, Zilong Guan, Yong Liang |
| author_sort | Adhikary, Avik Ranjan |
| collection | NTU |
| description | This letter is focused on increasing the zero correlation zone (ZCZ) of even-length binary Z-complementary pairs (EB-ZCPs). Till date, the maximum ZCZ ratio (i.e., ZCZ width over the sequence length) for systematically constructed EB-ZCPs is 2/3. In this letter, we give a construction of EB-ZCPs with lengths 2α +2 10β 26γ +2 (where α, β, and γ are nonnegative integers) and ZCZ widths 3 × 2α 10β 26γ +1, thus achieving asymptotic ZCZ ratio of 3/4. The proposed EB-ZCPs are constructed via proper insertion of concatenated odd-length binary ZCPs. The ZCZ width is proved by exploiting several newly identified intrinsic structure properties of binary Golay complementary pairs, obtained from Turyn's method. The proposed EB-ZCPs have aperiodic autocorrelation sums (AACS) magnitude of 4 outside the ZCZ region (except for the last time-shift taking AACS value of zero). |
| first_indexed | 2024-10-01T05:25:23Z |
| format | Journal Article |
| id | ntu-10356/140241 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:25:23Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-10356/1402412020-05-27T08:22:40Z New sets of even-length binary Z-complementary pairs with asymptotic ZCZ ratio of 3/4 Adhikary, Avik Ranjan Majhi, Sudhan Liu, Zilong Guan, Yong Liang School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Even-length Binary Aperiodic Z-Complementary Pairs (EB-ZCPs) Golay Complementary Pair (GCP) This letter is focused on increasing the zero correlation zone (ZCZ) of even-length binary Z-complementary pairs (EB-ZCPs). Till date, the maximum ZCZ ratio (i.e., ZCZ width over the sequence length) for systematically constructed EB-ZCPs is 2/3. In this letter, we give a construction of EB-ZCPs with lengths 2α +2 10β 26γ +2 (where α, β, and γ are nonnegative integers) and ZCZ widths 3 × 2α 10β 26γ +1, thus achieving asymptotic ZCZ ratio of 3/4. The proposed EB-ZCPs are constructed via proper insertion of concatenated odd-length binary ZCPs. The ZCZ width is proved by exploiting several newly identified intrinsic structure properties of binary Golay complementary pairs, obtained from Turyn's method. The proposed EB-ZCPs have aperiodic autocorrelation sums (AACS) magnitude of 4 outside the ZCZ region (except for the last time-shift taking AACS value of zero). NRF (Natl Research Foundation, S’pore) 2020-05-27T08:22:40Z 2020-05-27T08:22:40Z 2018 Journal Article Adhikary, A. R., Majhi, S., Liu, Z., & Guan, Y. L. (2018). New sets of even-length binary Z-complementary pairs with asymptotic ZCZ ratio of 3/4. IEEE Signal Processing Letters, 25(7), 970-973. doi:10.1109/LSP.2018.2834143 1070-9908 https://hdl.handle.net/10356/140241 10.1109/LSP.2018.2834143 2-s2.0-85046415216 7 25 970 973 en IEEE Signal Processing Letters © 2018 IEEE. All rights reserved. |
| spellingShingle | Engineering::Electrical and electronic engineering Even-length Binary Aperiodic Z-Complementary Pairs (EB-ZCPs) Golay Complementary Pair (GCP) Adhikary, Avik Ranjan Majhi, Sudhan Liu, Zilong Guan, Yong Liang New sets of even-length binary Z-complementary pairs with asymptotic ZCZ ratio of 3/4 |
| title | New sets of even-length binary Z-complementary pairs with asymptotic ZCZ ratio of 3/4 |
| title_full | New sets of even-length binary Z-complementary pairs with asymptotic ZCZ ratio of 3/4 |
| title_fullStr | New sets of even-length binary Z-complementary pairs with asymptotic ZCZ ratio of 3/4 |
| title_full_unstemmed | New sets of even-length binary Z-complementary pairs with asymptotic ZCZ ratio of 3/4 |
| title_short | New sets of even-length binary Z-complementary pairs with asymptotic ZCZ ratio of 3/4 |
| title_sort | new sets of even length binary z complementary pairs with asymptotic zcz ratio of 3 4 |
| topic | Engineering::Electrical and electronic engineering Even-length Binary Aperiodic Z-Complementary Pairs (EB-ZCPs) Golay Complementary Pair (GCP) |
| url | https://hdl.handle.net/10356/140241 |
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