Optimal Constructions of Low-Hit Zone Frequency-Hopping Sequence Set Based on m -Sequence

Changyuan Wang (), Yi Zhang, Wanan Yang and Chunhua Ren
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Changyuan Wang: The School of Computer Science and Technology (School of Artificial Intelligence), Yibin University, Yibin 644000, China
Yi Zhang: The School of Electronic Information Engineering, Yibin University, Yibin 644000, China
Wanan Yang: The School of Computer Science and Technology (School of Artificial Intelligence), Yibin University, Yibin 644000, China
Chunhua Ren: The School of Computer Science and Technology (School of Artificial Intelligence), Yibin University, Yibin 644000, China

Mathematics, 2025, vol. 13, issue 14, 1-17

Abstract: Quasi-Synchronous Frequency hopping (FH) Multiple Access (QS-FHMA) systems feature high communication efficiency, strong flexibility, and low operational costs, and they have been widely used in various FH communication scenarios such as satellite communication, military communication, and radio measurement. The low-hit zone (LHZ) FH sequences set (LHZ FHS set) plays a critical role in QS-FHMA systems, enabling user access with permissible time-delay offsets while maintaining superior performance. In this paper, three new methods to construct LHZ FHS sets based on m -sequences are proposed. The newly constructed sequence sets achieve optimality with respect to the Peng–Fan bound. Compared with existing LHZ FHS sets constructed from m -sequences, these new sequence sets offer more flexible parameters. Furthermore, due to the simple structure of m -sequences and their extensive adoption in engineering applications, the proposed new sequence sets possess significant practical value for engineering implementation.

Keywords: frequency-hopping communication; frequency-hopping sequence set; quasi-synchronous frequency-hopping; low-hit zone; maximum periodic Hamming correlation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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