Arbitrary Length Perfect Integer Sequences Using All-Pass Polynomial

被引：5
|
作者：
Pei, Soo-Chang [1 ]
Chang, Kuo-Wei [2 ]
机构：
[1] Natl Taiwan Univ, Dept Elect Engn, Taipei 10617, Taiwan
[2] Chunghwa Telecom Co Ltd, Telecommun Labs, Taipei 10048, Taiwan
来源：
IEEE SIGNAL PROCESSING LETTERS | 2019年 / 26卷 / 08期
关键词：
Discrete Fourier transform; perfect integer sequences; zero autocorrelation; polynomial;
D O I：
10.1109/LSP.2019.2921256
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A novel method is proposed to construct arbitrary length perfect integer sequences based on all-pass polynomial. It uses a fact that associative sequence of an all-pass polynomial is guaranteed to be perfect. In addition, geometric series method is our special case. Moreover, perfect Gaussian integer sequences can also be constructed. Furthermore, this approach can be applied to symmetric perfect sequences design. Finally, perfect sequence with low degree of freedom can be achieved by the difference set. Concrete examples are illustrated.
引用
收藏
页码：1112 / 1116
页数：5
相关论文
共 50 条
  • [1] Arbitrary Length Perfect Integer Sequences Using Geometric Series
    Pei, Soo-Chang
    Chang, Kuo-Wei
    2018 26TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO), 2018, : 1257 - 1261
  • [2] Perfect Gaussian Integer Sequences of Arbitrary Length
    Pei, Soo-Chang
    Chang, Kuo-Wei
    IEEE SIGNAL PROCESSING LETTERS, 2015, 22 (08) : 1040 - 1044
  • [3] Perfect Gaussian Integer Sequences of Arbitrary Composite Length
    Chang, Ho-Hsuan
    Li, Chih-Peng
    Lee, Chong-Dao
    Wang, Sen-Hung
    Wu, Tsung-Cheng
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2015, 61 (07) : 4107 - 4115
  • [4] Arbitrary Length Reducible and Irreducible Perfect Gaussian Integer Sequences with A Pre-Given Gaussian Integer
    Pei, Soo-Chang
    Chang, Kuo-Wei
    28TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO 2020), 2021, : 2274 - 2278
  • [5] Nearly perfect Gaussian integer sequences with arbitrary degree
    Li, Yubo
    Tian, Liying
    Liu, Tao
    IET COMMUNICATIONS, 2018, 12 (09) : 1123 - 1127
  • [6] Perfect Gaussian Integer Sequences of Odd Prime Length
    Yang, Yang
    Tang, Xiaohu
    Zhou, Zhengchun
    IEEE SIGNAL PROCESSING LETTERS, 2012, 19 (10) : 615 - 618
  • [7] SYNTHESIS OF ALL-PASS NETWORKS USING GYRATORS
    TSIRELSON, DA
    RADIOTEKHNIKA I ELEKTRONIKA, 1978, 23 (02): : 275 - 284
  • [8] TRANSMULTIPLEXER DESIGN USING ALL-PASS FILTERS
    ANSARI, R
    LIU, B
    IEEE TRANSACTIONS ON COMMUNICATIONS, 1982, 30 (07) : 1569 - 1574
  • [9] AN ALL-PASS REALIZATION USING A NULL NETWORK
    PATRANABIS, D
    INTERNATIONAL JOURNAL OF ELECTRONICS, 1970, 28 (04) : 399 - +
  • [10] Fast Generation of Perfect Gaussian Integer Sequences of Primitive Length
    Lee, Chong-Dao
    Chen, Yan-Haw
    2019 IEEE 4TH INTERNATIONAL CONFERENCE ON SIGNAL AND IMAGE PROCESSING (ICSIP 2019), 2019, : 588 - 591
12345