Arbitrary Length Reducible and Irreducible Perfect Gaussian Integer Sequences with A Pre-Given Gaussian Integer

被引:0
|
作者
Pei, Soo-Chang [1 ]
Chang, Kuo-Wei [2 ]
机构
[1] Natl Taiwan Univ, Dept Elect Engn, Taipei, Taiwan
[2] Chunghwa Telecom, Telecommun Labs, Taoyuang, Taiwan
关键词
Discrete Fourier transform; perfect Gaussian integer sequences; zero autocorrelation; Ramanujan's Sum;
D O I
暂无
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
In this paper we will discuss two construction schemes on arbitrary length perfect Gaussian integer sequence (PGIS) with a pre-given constant. The first scheme uses geometric series, which brings reducible PGIS. We will also discuss the irreducible case and find an easy way to obtain PGIS for even length. Moreover, the same concept can be applied for some odd length N = 3p by using Ramanujan's Sum. Concrete examples are provided.
引用
收藏
页码:2274 / 2278
页数:5
相关论文
共 45 条
  • [31] Degree-(k+1) Perfect Gaussian Integer Sequences of Period pk
    Chang, Ho-Hsuan
    2017 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), 2017, : 1505 - 1509
  • [32] Constructions of Gaussian Integer Periodic Complementary Sequences with ZCZ
    Kong, Deming
    Chen, Xiaoyu
    Li, Yubo
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2017, E100A (09): : 2056 - 2060
  • [33] Gaussian Integer Sequences with Ideal Periodic Autocorrelation Functions
    Hu, Wei-Wen
    Wang, Sen-Hung
    Li, Chih-Peng
    2011 IEEE INTERNATIONAL CONFERENCE ON COMMUNICATIONS (ICC), 2011,
  • [34] Gaussian Integer Sequences With Ideal Periodic Autocorrelation Functions
    Hu, Wei-Wen
    Wang, Sen-Hung
    Li, Chih-Peng
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2012, 60 (11) : 6074 - 6079
  • [35] Families of Gaussian integer sequences with high energy efficiency
    Lee, Chong-Dao
    Chen, Yan-Haw
    IET COMMUNICATIONS, 2016, 10 (17) : 2416 - 2421
  • [36] Constructions of Gaussian Integer Sequences with Zero Correlation Zone
    Chen, Xiaoyu
    Kong, Deming
    Xu, Chengqian
    Liu, Kai
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2016, E99A (06): : 1260 - 1263
  • [37] Perfect Gaussian Integer Sequences of Period pk With Degrees Equal to or Less Than k+1
    Chang, Kuo-Jen
    Chang, Ho-Hsuan
    IEEE TRANSACTIONS ON COMMUNICATIONS, 2017, 65 (09) : 3723 - 3733
  • [38] Novel MC-CDMA System Using Fourier Duals of Sparse Perfect Gaussian Integer Sequences
    Wang, Sen-Hung
    Li, Chih-Peng
    2016 IEEE INTERNATIONAL CONFERENCE ON COMMUNICATIONS (ICC), 2016,
  • [39] Constructions of Gaussian Integer Periodic Complementary Sequences Based on Difference Families
    Liu Tao
    Xu Chengqian
    Li Yubo
    JOURNAL OF ELECTRONICS & INFORMATION TECHNOLOGY, 2019, 41 (05) : 1167 - 1172
  • [40] Perfect Gaussian Integer Sequence Pairs from Cyclic Difference Set Pairs
    Lin, Hongbin
    Peng, Xiuping
    Feng, Chao
    Tong, Qisheng
    Liu, Kai
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2018, E101A (05) : 855 - 858