Further designs of Low-hit-zone Frequency-hopping Sequence Set with strictly optimal partial Hamming correlation

抄録

The quasi-synchronous frequency-hopping (FH) multiple access (QS-FHMA) communication system has the advantages of not requiring precise time synchronization, low equipment complexity, and easy to implement in engineering applications. And it is widely applied in military communication systems, vehicle-to-everything (V2X) communication, satellite communication systems, and industrial internet of things (IIoT), among others. FH sequences set with Low-Hit-Zone (LHZ), in LHZ both the Hamming autocorrelation of each sequence and the Hamming cross-correlation between distinct sequences remain low, are an important component of QS-FHMA communication system. The utilization of LHZ FH sequence set (LHZ FHS set) with optimal partial Hamming correlation (PHC) can effectively enhance the communication performance of QS-FHMA system. Based on q-ary m-sequence with degree n and its decimated sequence, q ≠ 2, n ≥ 2, this paper constructs three types of LHZ FHS sets. Experimental results show that these sequence sets have strictly optimal periodic PHC property, good wide gap property, and favorable complexity. The new constructions can provide more high-performance LHZ FHS sets for QS-FHMA communication systems.