IEICE TRANSACTIONS on Communications
Upper Bound on the Cross-Correlation between Two Decimated Sequences
Summary :
In this paper, for an odd prime p, two positive integers n, m with n=2m, and pm≡1 (mod 4), we derive an upper bound on the magnitude of the cross-correlation function between two decimated sequences of a p-ary m-sequence. The two decimation factors are 2 and 2(pm+1), and the upper bound is derived as $ rac{3}{2}p^m + rac{1}{2}$. In fact, those two sequences correspond to the p-ary sequences used for the construction of Kasami sequences decimated by 2. This result is also used to obtain an upper bound on the cross-correlation magnitude between a p-ary m-sequence and its decimated sequence with the decimation factor $d= rac{(p^m +1)^2}{2}$.
- Publication
- IEICE TRANSACTIONS on Communications Vol.E100-B No.5 pp.837-842
- Publication Date
- 2017/05/01
- Publicized
- 2016/11/28
- Online ISSN
- 1745-1345
- DOI
- 10.1587/transcom.2016EBP3182
- Type of Manuscript
- PAPER
- Category
- Wireless Communication Technologies
Authors
Chang-Min CHO
Seoul National University
Wijik LEE
Seoul National University
Jong-Seon NO
Seoul National University
Young-Sik KIM
Chosun University
Keyword
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Chang-Min CHO, Wijik LEE, Jong-Seon NO, Young-Sik KIM, "Upper Bound on the Cross-Correlation between Two Decimated Sequences" in IEICE TRANSACTIONS on Communications,
vol. E100-B, no. 5, pp. 837-842, May 2017, doi: 10.1587/transcom.2016EBP3182.
Abstract: In this paper, for an odd prime p, two positive integers n, m with n=2m, and pm≡1 (mod 4), we derive an upper bound on the magnitude of the cross-correlation function between two decimated sequences of a p-ary m-sequence. The two decimation factors are 2 and 2(pm+1), and the upper bound is derived as $ rac{3}{2}p^m + rac{1}{2}$. In fact, those two sequences correspond to the p-ary sequences used for the construction of Kasami sequences decimated by 2. This result is also used to obtain an upper bound on the cross-correlation magnitude between a p-ary m-sequence and its decimated sequence with the decimation factor $d= rac{(p^m +1)^2}{2}$.
URL: https://global.ieice.org/en_transactions/communications/10.1587/transcom.2016EBP3182/_p
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@ARTICLE{e100-b_5_837,
author={Chang-Min CHO, Wijik LEE, Jong-Seon NO, Young-Sik KIM, },
journal={IEICE TRANSACTIONS on Communications},
title={Upper Bound on the Cross-Correlation between Two Decimated Sequences},
year={2017},
volume={E100-B},
number={5},
pages={837-842},
abstract={In this paper, for an odd prime p, two positive integers n, m with n=2m, and pm≡1 (mod 4), we derive an upper bound on the magnitude of the cross-correlation function between two decimated sequences of a p-ary m-sequence. The two decimation factors are 2 and 2(pm+1), and the upper bound is derived as $ rac{3}{2}p^m + rac{1}{2}$. In fact, those two sequences correspond to the p-ary sequences used for the construction of Kasami sequences decimated by 2. This result is also used to obtain an upper bound on the cross-correlation magnitude between a p-ary m-sequence and its decimated sequence with the decimation factor $d= rac{(p^m +1)^2}{2}$.},
keywords={},
doi={10.1587/transcom.2016EBP3182},
ISSN={1745-1345},
month={May},}
Copy
TY - JOUR
TI - Upper Bound on the Cross-Correlation between Two Decimated Sequences
T2 - IEICE TRANSACTIONS on Communications
SP - 837
EP - 842
AU - Chang-Min CHO
AU - Wijik LEE
AU - Jong-Seon NO
AU - Young-Sik KIM
PY - 2017
DO - 10.1587/transcom.2016EBP3182
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E100-B
IS - 5
JA - IEICE TRANSACTIONS on Communications
Y1 - May 2017
AB - In this paper, for an odd prime p, two positive integers n, m with n=2m, and pm≡1 (mod 4), we derive an upper bound on the magnitude of the cross-correlation function between two decimated sequences of a p-ary m-sequence. The two decimation factors are 2 and 2(pm+1), and the upper bound is derived as $ rac{3}{2}p^m + rac{1}{2}$. In fact, those two sequences correspond to the p-ary sequences used for the construction of Kasami sequences decimated by 2. This result is also used to obtain an upper bound on the cross-correlation magnitude between a p-ary m-sequence and its decimated sequence with the decimation factor $d= rac{(p^m +1)^2}{2}$.
ER -
English
