Title :
Existence of Binary
-Complementary Pairs
Author :
Li, Xudong ; Fan, Pingzhi ; Tang, Xiaohu ; Tu, Yifeng
Author_Institution :
Provincial Key Lab. of Inf. Coding & Transm., Southwest Jiaotong Univ., Chengdu, China
Abstract :
The conventional binary complementary pairs exist only for very limited lengths, while binary Z -complementary pairs exist for many more lengths. In this letter, an upper bound on zero correlation zone (ZCZ) width of binary Z-complementary pairs of odd length is established. The existence conjecture of binary Z-complementary pairs with ZCZ widths 2, 3, 4, 5 and 6 is completely solved, and a new recursive construction of binary Z-complementary pairs is proposed.
Keywords :
binary sequences; correlation methods; ZCZ; binary Z-complementary pair; recursive construction; zero correlation zone; Binary sequences; Channel estimation; Correlation; Radar; Spectroscopy; Upper bound; Binary complementary pairs; binary $Z$ -complementary pairs; zero correlation zone;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2010.2095459