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New Sets of Even-Length Binary Z-Complementary Pairs With Asymptotic ZCZ Ratio of 3/4

Adhikary, Avik Ranjan, Majhi, Sudhan, Liu, Zilong and Guan, Yong Liang (2018) New Sets of Even-Length Binary Z-Complementary Pairs With Asymptotic ZCZ Ratio of 3/4 IEEE Signal Processing Letters, 25 (7). pp. 970-973.

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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 2 α+2 10 β 26 γ + 2 (where α, β, and γ are nonnegative integers) and ZCZ widths 3 × 2 α 10 β 26 γ + 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).

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
Adhikary, Avik Ranjan
Majhi, Sudhan
Guan, Yong Liang
Date : 7 May 2018
DOI : 10.1109/LSP.2018.2834143
Uncontrolled Keywords : Even-length binary aperiodic Z-Complementary Pairs (EB-ZCPs); Golay complementary pair (GCP); Zero correlation zone (ZCZ); Z-Complementary pair (ZCP)
Depositing User : Clive Harris
Date Deposited : 12 Sep 2018 12:38
Last Modified : 12 Sep 2018 12:38

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