Constructions of Two-Dimensional Binary Z-Complementary Array Pairs

Cheng Yu Pai, Yong Ting Ni, Yen Cheng Liu, Meng Hsien Kuo, Chao Yu Chen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

One-dimensional (1-D) Z-complementary pair (ZCP) is an extension of 1-D Golay complementary pair (GCP) where the autocorrelations of constituent sequences are complementary within a zero correlation zone (ZCZ). The concept of ZCZ can be applied to two-dimensional (2-D) Golay complementary array pair to obtain the 2-D Z-complementary array pair (ZCAP). In this paper, constructions of ZCAPs are proposed based on concatenations of 1-D ZCPs or existing 2-D ZCAPs. In addition, the construction of 1-D ZCPs based on Kronecker product is modified and extended to 2-D ZCAPs. One potential application of 2-D ZCAPs is 2-D synchronization.

Original languageEnglish
Title of host publication2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2264-2268
Number of pages5
ISBN (Electronic)9781538692912
DOIs
Publication statusPublished - 2019 Jul
Event2019 IEEE International Symposium on Information Theory, ISIT 2019 - Paris, France
Duration: 2019 Jul 72019 Jul 12

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2019-July
ISSN (Print)2157-8095

Conference

Conference2019 IEEE International Symposium on Information Theory, ISIT 2019
CountryFrance
CityParis
Period19-07-0719-07-12

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Information Systems
  • Modelling and Simulation
  • Applied Mathematics

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    Pai, C. Y., Ni, Y. T., Liu, Y. C., Kuo, M. H., & Chen, C. Y. (2019). Constructions of Two-Dimensional Binary Z-Complementary Array Pairs. In 2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings (pp. 2264-2268). [8849554] (IEEE International Symposium on Information Theory - Proceedings; Vol. 2019-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2019.8849554