Perfect Gaussian Integer Sequences of Degree-4 Using Difference Sets
Summary :
In this letter, based on cyclic difference sets with parameters $(N, rac{N-1}{2}, rac{N-3}{4})$ and complex transformations, a method for constructing degree-4 perfect Gaussian integer sequences (PGISs) with good balance property of length $N'equiv2( ext{mod}4)$ are presented. Furthermore, the elements distribution of the proposed Gaussian integer sequences (GISs) is derived.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E99-A No.12 pp.2604-2608
- Publication Date
- 2016/12/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E99.A.2604
- Type of Manuscript
- LETTER
- Category
- Spread Spectrum Technologies and Applications
Authors
Xiuping PENG
Yanshan University
Jiadong REN
Yanshan University
Chengqian XU
Yanshan University
Kai LIU
Yanshan University
Keyword
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Xiuping PENG, Jiadong REN, Chengqian XU, Kai LIU, "Perfect Gaussian Integer Sequences of Degree-4 Using Difference Sets" in IEICE TRANSACTIONS on Fundamentals,
vol. E99-A, no. 12, pp. 2604-2608, December 2016, doi: 10.1587/transfun.E99.A.2604.
Abstract: In this letter, based on cyclic difference sets with parameters $(N, rac{N-1}{2}, rac{N-3}{4})$ and complex transformations, a method for constructing degree-4 perfect Gaussian integer sequences (PGISs) with good balance property of length $N'equiv2( ext{mod}4)$ are presented. Furthermore, the elements distribution of the proposed Gaussian integer sequences (GISs) is derived.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E99.A.2604/_p
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@ARTICLE{e99-a_12_2604,
author={Xiuping PENG, Jiadong REN, Chengqian XU, Kai LIU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Perfect Gaussian Integer Sequences of Degree-4 Using Difference Sets},
year={2016},
volume={E99-A},
number={12},
pages={2604-2608},
abstract={In this letter, based on cyclic difference sets with parameters $(N, rac{N-1}{2}, rac{N-3}{4})$ and complex transformations, a method for constructing degree-4 perfect Gaussian integer sequences (PGISs) with good balance property of length $N'equiv2( ext{mod}4)$ are presented. Furthermore, the elements distribution of the proposed Gaussian integer sequences (GISs) is derived.},
keywords={},
doi={10.1587/transfun.E99.A.2604},
ISSN={1745-1337},
month={December},}
Copy
TY - JOUR
TI - Perfect Gaussian Integer Sequences of Degree-4 Using Difference Sets
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2604
EP - 2608
AU - Xiuping PENG
AU - Jiadong REN
AU - Chengqian XU
AU - Kai LIU
PY - 2016
DO - 10.1587/transfun.E99.A.2604
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E99-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2016
AB - In this letter, based on cyclic difference sets with parameters $(N, rac{N-1}{2}, rac{N-3}{4})$ and complex transformations, a method for constructing degree-4 perfect Gaussian integer sequences (PGISs) with good balance property of length $N'equiv2( ext{mod}4)$ are presented. Furthermore, the elements distribution of the proposed Gaussian integer sequences (GISs) is derived.
ER -
English
