Journal
IEEE COMMUNICATIONS LETTERS
Volume 24, Issue 5, Pages 936-940Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LCOMM.2020.2973259
Keywords
Correlation; Boolean functions; Computer simulation; Transforms; Indexes; Zero correlation zone; Constellation diagram; Quadriphase Z-complementary pair; autocorrelation sum; zero-correlation-zone (ZCZ); ZCZ width-length ratio
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Funding
- National Key R. & D. Plan of China [YS2019YFC150180]
- National Natural Science Foundation of China (NSFC) [61671452]
- Industry Generic Key Technology Innovation Project in Chongqing [cstc2018jszx-cyzdX0070]
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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.
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