Cross-Correlation Properties of Generalized Chirp-Like Sequences and Their Application to Zero-Correlation Zone Sequences
Summary :
A generalized chirp-like (GCL) sequence of period N is constructed by modulating a Zadoff-Chu sequence of period N with an arbitrary unimodular sequence of period m, where m divides N. Under some specific conditions, the cross-correlations between two GCL sequences are shown to have exactly the same magnitudes as those of their corresponding Zadoff-Chu sequences regardless of the employed unimodular sequences. In this paper, we first investigate the sufficient conditions under which such a relation holds. We then use them to construct a new class of optimal zero-correlation zone (ZCZ) sequence sets which can be considered to be an extension of the so-called GCL-ZCZ sequence sets.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E97-A No.12 pp.2549-2555
- Publication Date
- 2014/12/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E97.A.2549
- Type of Manuscript
- Special Section PAPER (Special Section on Signal Design and Its Applications in Communications)
- Category
- Sequences
Authors
Tae-Kyo LEE
Pohang University of Science and Technology (POSTECH)
Kyeongcheol YANG
Pohang University of Science and Technology (POSTECH)
Keyword
Latest Issue
Copyrights notice of machine-translated contents
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Cite this
Copy
Tae-Kyo LEE, Kyeongcheol YANG, "Cross-Correlation Properties of Generalized Chirp-Like Sequences and Their Application to Zero-Correlation Zone Sequences" in IEICE TRANSACTIONS on Fundamentals,
vol. E97-A, no. 12, pp. 2549-2555, December 2014, doi: 10.1587/transfun.E97.A.2549.
Abstract: A generalized chirp-like (GCL) sequence of period N is constructed by modulating a Zadoff-Chu sequence of period N with an arbitrary unimodular sequence of period m, where m divides N. Under some specific conditions, the cross-correlations between two GCL sequences are shown to have exactly the same magnitudes as those of their corresponding Zadoff-Chu sequences regardless of the employed unimodular sequences. In this paper, we first investigate the sufficient conditions under which such a relation holds. We then use them to construct a new class of optimal zero-correlation zone (ZCZ) sequence sets which can be considered to be an extension of the so-called GCL-ZCZ sequence sets.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.2549/_p
Copy
@ARTICLE{e97-a_12_2549,
author={Tae-Kyo LEE, Kyeongcheol YANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Cross-Correlation Properties of Generalized Chirp-Like Sequences and Their Application to Zero-Correlation Zone Sequences},
year={2014},
volume={E97-A},
number={12},
pages={2549-2555},
abstract={A generalized chirp-like (GCL) sequence of period N is constructed by modulating a Zadoff-Chu sequence of period N with an arbitrary unimodular sequence of period m, where m divides N. Under some specific conditions, the cross-correlations between two GCL sequences are shown to have exactly the same magnitudes as those of their corresponding Zadoff-Chu sequences regardless of the employed unimodular sequences. In this paper, we first investigate the sufficient conditions under which such a relation holds. We then use them to construct a new class of optimal zero-correlation zone (ZCZ) sequence sets which can be considered to be an extension of the so-called GCL-ZCZ sequence sets.},
keywords={},
doi={10.1587/transfun.E97.A.2549},
ISSN={1745-1337},
month={December},}
Copy
TY - JOUR
TI - Cross-Correlation Properties of Generalized Chirp-Like Sequences and Their Application to Zero-Correlation Zone Sequences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2549
EP - 2555
AU - Tae-Kyo LEE
AU - Kyeongcheol YANG
PY - 2014
DO - 10.1587/transfun.E97.A.2549
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2014
AB - A generalized chirp-like (GCL) sequence of period N is constructed by modulating a Zadoff-Chu sequence of period N with an arbitrary unimodular sequence of period m, where m divides N. Under some specific conditions, the cross-correlations between two GCL sequences are shown to have exactly the same magnitudes as those of their corresponding Zadoff-Chu sequences regardless of the employed unimodular sequences. In this paper, we first investigate the sufficient conditions under which such a relation holds. We then use them to construct a new class of optimal zero-correlation zone (ZCZ) sequence sets which can be considered to be an extension of the so-called GCL-ZCZ sequence sets.
ER -
English
