Journal article
Optimal odd-length binary Z-complementary pairs
Z Liu, U Parampalli, YL Guan
IEEE Transactions on Information Theory | Published : 2014
Abstract
A pair of sequences is called a Golay complementary pair (GCP) if their aperiodic autocorrelation sums are zero for all out-of-phase time shifts. Existing known binary GCPs only have even-lengths in the form of 2 α 10β 26γ (where α, β γ are nonnegative integers). To fill the gap left by the odd-lengths, we investigate the optimal odd-length binary (OB) pairs, which display the closest correlation property to that of GCPs. Our criteria of closeness is that each pair has the maximum possible zero-correlation zone (ZCZ) width and minimum possible out-of-zone aperiodic autocorrelation sums. Such optimal pairs are called optimal OB Z-complementary pairs (OB-ZCP) in this paper. We show that each o..
View full abstractGrants
Awarded by Advanced Communications Research Program
Awarded by Department of Innovation, Industry, Science and Research through the Australian Government
Awarded by Innovative Disciplines Intelligence Base 111 Project, Ministry of Education, China
Funding Acknowledgements
Guan were supported by the Advanced Communications Research Program under Grant DSOCL06271, a research grant from the Defense Research and Technology Office, Ministry of Defence, Singapore. U. Parampalli was supported in part by the Australia-China Group Missions Project, in part by the Department of Innovation, Industry, Science and Research through the Australian Government under Grant ACSRF02361, and in part by the Innovative Disciplines Intelligence Base 111 Project, Ministry of Education, China, under Grant 111-2-14. The material in this paper was presented in part at the 2013 IEEE International Symposium on Information Theory.