Construction of Perfect Gaussian Integer Sequences Based on Cyclic Difference Sets

被引：0
|
作者：
Liu K. [1 ,2 ]
Ni J. [1 ,2 ]
机构：
[1] School of Information Science and Engineering, Yanshan University, Qinhuangdao
[2] Hebei Province Key Laboratory of Information Transmission and Signal Processing, Qinhuangdao
来源：
Tien Tzu Hsueh Pao/Acta Electronica Sinica | 2021年 / 49卷 / 08期
关键词：
Cyclic difference sets; Degree of freedom; Energy efficiency; Perfect Gaussian integer sequences;
D O I：
10.12263/DZXB.20200239
中图分类号：
学科分类号：
摘要：
Perfect Gaussian integer sequences applied to communication systems can not only restrain disturbance, but also obtain high transmission rates and spectrum utilization. In this paper, the sufficient and necessary condition for constructing the perfect Gaussian integer sequences with 2-degree freedom is given based on the cyclic difference sets. The perfect Gaussian integer sequences with higher energy efficiency can be obtained compared to the existing literatures. The length and degree of freedom of the perfect Gaussian integer sequences are extended by up-sampling and filtering. A large number of perfect Gaussian integer sequences obtained in this paper are suitable for high speed communication applications, which expands the selection range of address codes. © 2021, Chinese Institute of Electronics. All right reserved.
引用
收藏
页码：1474 / 1479
页数：5
相关论文
共 22 条
  • [1] Chong C V, Venkataramani R, Tarokh V., A new construction of 16-QAM Golay complementary sequences, IEEE Transactions on Information Theory, 49, 11, pp. 2953-2959, (2003)
  • [2] Chang C Y, Li Y, Hirata J., New 64-QAM Golay complementary sequences, IEEE Transactions on Information Theory, 56, 5, pp. 2479-2485, (2010)
  • [3] Huber K., Codes over Gaussian integers, IEEE Transactions on Information Theory, 40, 1, pp. 207-216, (1994)
  • [4] Deng X M, Fan P Z, Suehiro N., Sequences with zero correlation over Gaussian integers, Electronics Letters, 36, 6, pp. 552-553, (2000)
  • [5] Chen X Y, Xu C Q, Li Y B., New constructions of perfect Gaussian integer sequences, Journal of Electronics & Information Technology, 36, 9, pp. 2081-2085, (2014)
  • [6] Peng X P, Xu C Q., New constructions of perfect Gaussian integer sequences of even length, IEEE Communications Letters, 18, 9, pp. 1547-1550, (2014)
  • [7] Chang H H, Li C P, Lee C D, Et al., Perfect Gaussian integer sequences of arbitrary composite length, IEEE Transactions on Information Theory, 61, 7, pp. 4107-4115, (2015)
  • [8] Hu W W, Wang S H, Li C P., Gaussian integer sequences with ideal periodic autocorrelation functions, IEEE Transactions on Signal Processing, 60, 11, pp. 6074-6079, (2012)
  • [9] Pei S C, Chang K W., Arbitrary length perfect integer sequences using all-pass polynomial, IEEE Signal Processing Letters, 26, 8, pp. 1112-1116, (2019)
  • [10] Yang Y, Tang X H, Zhou Z C., Perfect Gaussian integer sequences of odd prime length, IEEE Signal Processing Letters, 19, 10, pp. 615-618, (2012)
123