A class of frequency-hopping sequences set with a multiple of prime number length

被引：0

作者：

Xu, Shan-Ding ^{[1
,2
]}

Cao, Xi-Wang ^{[2
,3
]}

Xu, Guang-Kui ^{[2
,4
]}

机构：

[1] Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing,Jiangsu,211167, China

[2] School of Mathematical Science, Nanjing University of Aeronautics and Astronautics, Nanjing,Jiangsu,211106, China

[3] State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing,100093, China

[4] School of Mathematical Science, Huainan Normal University, Huainan,Anhui,232038, China

来源：

Tien Tzu Hsueh Pao/Acta Electronica Sinica | 2015年 / 43卷 / 10期

关键词：

Spread spectrum communication - Code division multiple access - Military communications;

D O I：

10.3969/j.issn.0372-2112.2015.10.008

中图分类号：

学科分类号：

摘要：

Frequency-hopping spread spectrum (FHSS) systems, with properties of anti-jamming, anti-intercept, code division multiple access (CDMA), channel sharing, etc, are usually applied in military radio communication, mobile communication, modern radar and sonar echolocation systems. Frequency-hopping sequences (FHS) is an integral part of FHSS systems. Based on the cyclotomy over the finite field and the Chinese remainder theorem, a class of FHSs set with a multiple of prime number length is constructed and the Hamming correlations of the new set are derived by some basic properties of the cyclotomic numbers. The results show that the proposed set is optimal with respect to the Peng-Fan bound and each FHS of the set is optimal or near optimal with respect to the Lempel-Greenberger bound. Furthermore, the previous constructions of optimal FHS sets based on cyclotomy are special cases of this paper. © 2015, Chinese Institute of Electronics. All right reserved.

引用

页码：1930 / 1935

共 50 条

[1] Class of optimal frequency-hopping sequences set with the square of prime length based on cyclotomy
Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing
211167, China
不详
211106, China
不详
100093, China
不详
232038, China
Dianzi Yu Xinxi Xuebao, 10 (2460-2465):
[2] A New Set of Optimal Frequency-Hopping Sequences
Liu, Fang
Peng, Daiyuan
Tang, Xiaohu
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2010, E93A (11) : 2332 - 2336
[3] Set of optimal frequency-hopping sequences based on polynomial theory
Han, H. Y.
Peng, D. Y.
ELECTRONICS LETTERS, 2014, 50 (03) : 214 - +
[4] A new class of frequency-hopping sequences with optimal hamming autocorrelation
Liu, F. (hmimy5416@163.com), 1600, Chinese Institute of Electronics (41):
[5] On the Sidel'nikov Sequences as Frequency-Hopping Sequences
Han, Yun Kyoung
Yang, Kyeongcheol
IEEE TRANSACTIONS ON INFORMATION THEORY, 2009, 55 (09) : 4279 - 4285
[6] CODE SEQUENCES FOR FREQUENCY-HOPPING MULTIPLE-ACCESS SYSTEMS
VAJDA, I
IEEE TRANSACTIONS ON COMMUNICATIONS, 1995, 43 (10) : 2553 - 2554
[7] Performance Analysis of Quadratic Prime Codes and Construction of New Frequency-Hopping Sequences
Yang Donkai
Liu Kefei
Liu Qingge
Zhang Qishan
2009 5TH INTERNATIONAL CONFERENCE ON WIRELESS COMMUNICATIONS, NETWORKING AND MOBILE COMPUTING, VOLS 1-8, 2009, : 605 - 608
[8] New Near-Optimal Frequency-Hopping Sequences of Length pq
Han, Yun Kyoung
Yang, Kyeongcheol
2008 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS, VOLS 1-6, 2008, : 2593 - 2597
[9] Generalised class of cubic frequency-hopping sequences with large family size
Peng, DY
Peng, T
Fan, PZ
IEE PROCEEDINGS-COMMUNICATIONS, 2005, 152 (06): : 897 - 902
[10] New Class of Optimal Frequency-hopping Sequence Set Based on Cyclotomy
Huang, Ping
Dong, Xiangqina
Wang, Chang-yuan
2015 INTERNATIONAL CONFERENCE ON APPLIED MECHANICS AND MECHATRONICS ENGINEERING (AMME 2015), 2015, : 526 - 531

← 1 2 3 4 5 →