Correlation properties of sequences from the 2-D array structure of Sidelnikov sequences of different lengths and their union

Min Kyu Song, Hong Yeop Song, Dae San Kim, Jang Yong Lee

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

2 Citations (Scopus)

Abstract

In this paper, we show that the cross-correlation of two properly chosen column sequences from the array structure of two different Sidelnikov sequences of periods qe-1 and qF - 1, where e ≠ F, is bounded by (e+F-1)√q+1. From this result, we construct new sequence families by combining sequence families from the array structure of Sidelnikov sequences of period q2 - 1, q3 - 1., qd - 1 for some d with 2 ≤ d ≤ 1/2(√q - 2/√q + 1). The maximum non-trivial complex correlation of any two pair of sequences in the constructed sequence family is upper-bounded by (2d - 1)√q + 1: thus, the combining process does not affect the maximum non-trivial complex correlation.

Original languageEnglish
Title of host publicationProceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages105-109
Number of pages5
ISBN (Electronic)9781509018062
DOIs
Publication statusPublished - 2016 Aug 10
Event2016 IEEE International Symposium on Information Theory, ISIT 2016 - Barcelona, Spain
Duration: 2016 Jul 102016 Jul 15

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2016-August
ISSN (Print)2157-8095

Other

Other2016 IEEE International Symposium on Information Theory, ISIT 2016
CountrySpain
CityBarcelona
Period16/7/1016/7/15

All Science Journal Classification (ASJC) codes

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

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  • Cite this

    Song, M. K., Song, H. Y., Kim, D. S., & Lee, J. Y. (2016). Correlation properties of sequences from the 2-D array structure of Sidelnikov sequences of different lengths and their union. In Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory (pp. 105-109). [7541270] (IEEE International Symposium on Information Theory - Proceedings; Vol. 2016-August). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2016.7541270