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Pseudo-Boolean Functions for Optimal Z-Complementary Code Sets With Flexible Lengths
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DOI：10.1109/LSP.2021.3091886.png)
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摘要
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This paper aims to construct optimal Z-complementary code set (ZCCS) with non-power-of-two (NPT) lengths to enable interference-free multicarrier code-division multiple access (MC-CDMA) systems. The existing ZCCSs with NPT lengths, which are constructed from generalized Boolean functions (GBFs), are sub-optimal only with respect to the set size upper bound. For the first time in the literature, we advocate the use of pseudo-Boolean functions (PBFs) (each of which transforms a number of binary variables to a real number as a natural generalization of GBF) for direct constructions of optimal ZCCSs with NPT lengths.
Keyword:
Multicarrier code division multiple access
Boolean functions
Upper bound
Correlation
Transforms
Multicarrier code-division multiple access (MC-CDMA)
generalized Boolean function (GBF)
pseudo-Boolean function (PBF)
Z-complementary code set (ZCCS)
zero correlation zone (ZCZ)
期刊
IF:
9.6
论文数:
1.1W
被引数:
1.7W
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