2022
DOI: 10.3934/amc.2020110
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Two constructions of low-hit-zone frequency-hopping sequence sets

Abstract: In this paper, we present two constructions of low-hit-zone frequency-hopping sequence (LHZ FHS) sets. The constructions in this paper generalize the previous constructions based on m-sequences and d-form functions with difference-balanced property, and generate several classes of optimal LHZ FHS sets and LHZ FHS sets with optimal periodic partial Hamming correlation (PPHC).

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Cited by 2 publications
(2 citation statements)
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“…In 2016, Wang et al [16] constructed two classes of optimal LHZ FHSs with new parameters based on Cyclotomy, the discrete logarithm function and the Chinese remainder theorem. In 2019, Yin et al [19] obtained two constructions of LHZ FHS based on m-sequence and d-form functions with difference-balanced property.…”
Section: Introductionmentioning
confidence: 99%
“…In 2016, Wang et al [16] constructed two classes of optimal LHZ FHSs with new parameters based on Cyclotomy, the discrete logarithm function and the Chinese remainder theorem. In 2019, Yin et al [19] obtained two constructions of LHZ FHS based on m-sequence and d-form functions with difference-balanced property.…”
Section: Introductionmentioning
confidence: 99%
“…Different from conventional FHSs design, in the area near the origin, the MI values of low-hit-zone (LHZ) FHSs remain low among different users. In the past, several designs of LHZ FHS sets [4]- [14] have been obtained and proved to conform to the Peng-Fan-Lee bound [15]. However, when constructing frequency hopping sequence (FHS) sets, it can be found that the optimal sets do not always exist for all lengths and sizes.…”
Section: Introductionmentioning
confidence: 99%