Near-Optimal Zero Correlation Zone Sequence Sets from Paraunitary Matrices
Shibsankar Das, Udaya Parampalli, Sudhan Majhi, Zilong Liu
2019 IEEE International Symposium on Information Theory (ISIT) | IEEE | Published : 2019
Zero correlation zone (ZCZ) sequence sets play an important role in interference-free quasi-synchronous code-division multiple access communications. In this paper, for the first time, we investigate the periodic correlation properties of polyphase sequences obtained from paraunitary (PU) matrices, which shows the inherent relationship between PU matrix and ZCZ sequence sets. Our investigation suggests that any arbitrary PU matrix can produce ZCZ sequence sets by controlling its expanded form. The key idea is to impose certain restrictions on the expanded forms of the PU matrices to enable precise computation of the periodic correlation functions of the constructed sequences. We show that ou..View full abstract
Awarded by National Natural Science Foundation of China
S. Das is a visiting Ph.D. student with The University of Melbourne, Melbourne 3010, Australia, on academic leave from the Department of Mathematics, IIT Patna, India 801103. He would like to thank Dr. Srdjan Budisin at the RT-RK, Novi Sad, Serbia for the helpful discussions on PU matrices. The work of Z. Liu was supported in part by National Natural Science Foundation of China under Grant 61750110527, a Research Fund for International Young Scientists.