Frequency-hopping sequence sets with good aperiodic Hamming correlation property

When a frequency-hopping sequence (FHS) set is applied to a frequency-hopping multiple-access (FHMA) system, its aperiodic Hamming correlation (AHC) or partial period Hamming correlation (PPHC) properties affect the system synchronization and acquisition performance at receiving terminals. However, for an FHS set, the researches on its AHC or PPHC are not well understood. In this paper, we first introduce a generalized method to construct new FHS sets through other FHS sets with optimal PPHC property. Via this method, we have the flexibility of choosing the parameters of newly constructed FHS sets, such that a large number of new FHS sets can be obtained. Then, we analyze the AHC performance of our newly constructed FHS sets. Finally, we present two new classes of FHS sets with good AHC property.

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