1. Correlation Properties and Construction of Quadriphase Z-Complementary Pairs
- Author
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Yue Zeng, Guojun Li, Xiaona Zhou, Ye Changrong, Zeng Fanxin, and Junbing Li
- Subjects
Discrete mathematics ,Modulo ,Autocorrelation ,Binary number ,020206 networking & telecommunications ,Constellation diagram ,02 engineering and technology ,Computer Science Applications ,Correlation ,Modeling and Simulation ,0202 electrical engineering, electronic engineering, information engineering ,Electrical and Electronic Engineering ,Boolean function ,Mathematics - Abstract
Based on Gray mapping, the properties of the autocorrelation sum of quadriphase Z-complementary pairs (QZCPs) are investigated. It is proved that both the real and imaginary parts of the sum equal zero modulo 2. Additionally, a novel construction that transforms binary ZCPs (BZCPs) into QZCPs is presented. The proposed construction can produce QZCPs, which are different to the ones from existing constructions, with the same zero-correlation-zone (ZCZ) width-length ratios (ZWLRs) as the employed BZCPs.
- Published
- 2020