Journal article
On even-period binary Z-complementary pairs with large ZCZs
Z Liu, U Parampalli, YL Guan
IEEE Signal Processing Letters | Published : 2014
Abstract
For an even-period binary Z-complementary pair (EB-ZCP), if it is not a Golay complementary pair (GCP), we show that Z≤ N-2, where N and Z denote the sequence length and the zero correlation zone (ZCZ) width, respectively. This result partially answers the Fan-Yuan-Tu conjecture in 2007. In addition, we present a construction of EB-ZCPs with large ZCZ widths, where N=2 m+1+2m and Z=2m+1. Interestingly, each of the proposed EB-ZCPs features zero out-of-phase aperiodic auto-correlation sums except for the time-shift of ±2m+1 , thus displaying a very close correlation property to that of GCPs. © 2012 IEEE.
Grants
Awarded by Defence Research and Technology Office (DRTech), Singapore
Awarded by Australia-China Group Missions project, Department of Innovation, Industry, Science and Research (DIISR) Australia
Awarded by Innovative Disciplines Intelligence Base 111 Project of MoE, China
Funding Acknowledgements
The work of Z. Liu and Y. L. Guan was supported by the Defence Research and Technology Office (DRTech), Singapore, under Grant DSOCL06271. The work of U. Parampalli ws supported in part by the Australia-China Group Missions project, Department of Innovation, Industry, Science and Research (DIISR) Australia, under Grant ACSRF02361 and the Innovative Disciplines Intelligence Base 111 Project 111-2-14 of MoE, China. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Lei Wang.