A Novel Construction of Z-Complementary Pairs Based on Generalized Boolean Functions

被引:54
作者
Chen, Chao-Yu [1 ]
机构
[1] Natl Cheng Kung Univ, Dept Engn Sci, Tainan 701, Taiwan
关键词
Aperiodic correlation; Boolean functions; Golay complementary pair (GCP); Z-complementary pair (ZCP); zero correlation zone (ZCZ; REED-MULLER CODES; GOLAY SEQUENCES; POWER-CONTROL; OFDM;
D O I
10.1109/LSP.2017.2701834
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
Binary Golay complementary pairs exist for quite limited lengths whereas the binary Z-complementary pairs (ZCPs) are available for more lengths. Therefore, the ZCPs can potentially find more engineering applications. In this letter, we propose a novel construction of binary and nonbinary (q-ary for even q) ZCPs based on generalized Boolean functions. Both even-and odd-length ZCPs can be obtained by the proposed construction. Moreover, the sequence length, the width of zero correlation zone (ZCZ), and the constellation size are all very flexible. A family of ZCPs with large ZCZ widths is presented based on our construction where the width of ZCZ is larger than half of the sequence length. This proposed family includes some previous results on binary ZCPs as special cases.
引用
收藏
页码:987 / 990
页数:4
相关论文
共 23 条
[1]  
Borwein PB, 2004, MATH COMPUT, V73, P967, DOI 10.1090/S0025-5718-03-01576-X
[2]   MULTITONE SIGNALS WITH LOW CREST FACTOR [J].
BOYD, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (10) :1018-1022
[3]   Complementary Sets of Non-Power-of-Two Length for Peak-to-Average Power Ratio Reduction in OFDM [J].
Chen, Chao-Yu .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2016, 62 (12) :7538-7545
[4]   Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes [J].
Davis, JA ;
Jedwab, J .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (07) :2397-2417
[5]  
Fan P., 1996, SEQUENCE DESIGN COMM
[6]   Z-complernentary binary sequences [J].
Fan, Pingzhi ;
Yuan, Weina ;
Tu, Yifeng .
IEEE SIGNAL PROCESSING LETTERS, 2007, 14 (08) :509-512
[7]   Generalized pairwise Z-complementary codes [J].
Feng, Lifang ;
Fan, Pingzhi ;
Tang, Xiaohu ;
Loo, Kok-keong .
IEEE SIGNAL PROCESSING LETTERS, 2008, 15 (377-380) :377-380
[8]   A framework for the construction of Golay sequences [J].
Fiedler, Frank ;
Jedwab, Jonathan ;
Parker, Matthew G. .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (07) :3114-3129
[9]  
GOLAY MJE, 1961, IRE T INFORM THEOR, V7, P82, DOI 10.1109/TIT.1961.1057620
[10]   Golay complementary array pairs [J].
Jedwab, Jonathan ;
Parker, Matthew G. .
DESIGNS CODES AND CRYPTOGRAPHY, 2007, 44 (1-3) :209-216