Open AccessNew construction of Z‐complementary pairs
Author(s) -
Li Xudong,
Mow Wai Ho,
Niu Xianhua
Publication year - 2016
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2016.0057
Subject(s) - binary golay code , complementary sequences , binary number , ternary operation , mathematics , simple (philosophy) , algorithm , combinatorics , discrete mathematics , computer science , arithmetic , philosophy , epistemology , programming language
A Z‐complementary pair may be used as an alternative of a Golay complementary pair in many engineering applications. A new simple approach to generate more equal length Z‐complementary pairs is proposed. It is proved that a new Z‐complementary pair is composed of a linear combination of a complex Z‐complementary pair and the same linear combination of its mate. In particular, constructions of ternary and quadriphase Z‐complementary pairs based on binary Z‐complementary pairs and their mates are proposed.