Properties and Crosscorrelation of Decimated Sidelnikov Sequences
Summary :
In this paper, we show that if the d-decimation of a (q-1)-ary Sidelnikov sequence of period q-1=pm-1 is the d-multiple of the same Sidelnikov sequence, then d must be a power of a prime p. Also, we calculate the crosscorrelation magnitude between some constant multiples of d- and d'-decimations of a Sidelnikov sequence of period q-1 to be upper bounded by (d+d'-1)√q+3.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E97-A No.12 pp.2562-2566
- Publication Date
- 2014/12/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E97.A.2562
- Type of Manuscript
- Special Section PAPER (Special Section on Signal Design and Its Applications in Communications)
- Category
- Sequences
Authors
Young-Tae KIM
LG Electronics
Min Kyu SONG
Yonsei University
Dae San KIM
Sogang University
Hong-Yeop SONG
Yonsei University
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
Young-Tae KIM, Min Kyu SONG, Dae San KIM, Hong-Yeop SONG, "Properties and Crosscorrelation of Decimated Sidelnikov Sequences" in IEICE TRANSACTIONS on Fundamentals,
vol. E97-A, no. 12, pp. 2562-2566, December 2014, doi: 10.1587/transfun.E97.A.2562.
Abstract: In this paper, we show that if the d-decimation of a (q-1)-ary Sidelnikov sequence of period q-1=pm-1 is the d-multiple of the same Sidelnikov sequence, then d must be a power of a prime p. Also, we calculate the crosscorrelation magnitude between some constant multiples of d- and d'-decimations of a Sidelnikov sequence of period q-1 to be upper bounded by (d+d'-1)√q+3.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.2562/_p
Copy
@ARTICLE{e97-a_12_2562,
author={Young-Tae KIM, Min Kyu SONG, Dae San KIM, Hong-Yeop SONG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Properties and Crosscorrelation of Decimated Sidelnikov Sequences},
year={2014},
volume={E97-A},
number={12},
pages={2562-2566},
abstract={In this paper, we show that if the d-decimation of a (q-1)-ary Sidelnikov sequence of period q-1=pm-1 is the d-multiple of the same Sidelnikov sequence, then d must be a power of a prime p. Also, we calculate the crosscorrelation magnitude between some constant multiples of d- and d'-decimations of a Sidelnikov sequence of period q-1 to be upper bounded by (d+d'-1)√q+3.},
keywords={},
doi={10.1587/transfun.E97.A.2562},
ISSN={1745-1337},
month={December},}
Copy
TY - JOUR
TI - Properties and Crosscorrelation of Decimated Sidelnikov Sequences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2562
EP - 2566
AU - Young-Tae KIM
AU - Min Kyu SONG
AU - Dae San KIM
AU - Hong-Yeop SONG
PY - 2014
DO - 10.1587/transfun.E97.A.2562
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2014
AB - In this paper, we show that if the d-decimation of a (q-1)-ary Sidelnikov sequence of period q-1=pm-1 is the d-multiple of the same Sidelnikov sequence, then d must be a power of a prime p. Also, we calculate the crosscorrelation magnitude between some constant multiples of d- and d'-decimations of a Sidelnikov sequence of period q-1 to be upper bounded by (d+d'-1)√q+3.
ER -
English
