Construction Of Time-Frequency Two-Dimensional Hamming Correlation Frequency Hopping Sequence

Frequency hopping technology is one of the most commonly used spread spectrum communication technologies,the main part of frequency hopping communication system is FHS,its performance is the main index to evaluate the performance of frequency hopping communication system.Therefore,it is an important research direction to construct appropriate FHS to improve the anti-jamming and anti-interception performance of the system.When the period of FHS is very large,the aperiodic hamming correlation(AHC)properties of FHS are more considered,moreover,FHSs often exhibits good hamming correlation performance in smaller correlation zone,therefore,in recent years,the research on FHS mainly focuses on the construction of FHSs in periodic/aperiodic low hit zone(LHZ)and no hit zone(NHZ)and also research on theoretical bound.This paper mainly explores the method about constructing the FHS in the periodic/aperiodic TF-LHZ or time-frequency two-dimensional no hit zone(TF-NHZ),and also makes hamming correlation analysis.Firstly,according to the existing method of constructing one-dimensional FHSs based on Cartesian product and interleaving,they are applied to construct the time-frequency two-dimensional aperiodic low hit zone(TF-ALHZ)FHSs and it has been strictly proved,it ensures the feasibility in theory.Then,the theoretical bound of TF-ALHZ is introduced,and according to the theory,the optimal analysis of the newly construc ted sequence set is carried out.Secondly,Costas arrays have good hamming auto-correlation and cross-correlation performance,based on interleaving method and two kinds of Costas arrays,two kinds of optimal TF-LHZ FHSs are constructed,and the theoretical bound of TF-LHZ FHSs is also introduced,according to the theoretical bound,the optimum analysis of the newly constructed frequency hopping sequence set is carried out.Thirdly,two kinds of time-frequency two-dimensional aperiodic no hit zone(TF-ANHZ)FHSs are constructed by combining matrix and shift sequence,then,two kinds of time-frequency two-dimensional periodic no hit zone(TF-PNHZ)frequency hopping sequence sets are constructed by combining interleaving method and shift sequence,the theoretical bound of TF-PNHZ frequency hopping sequence set is introduced,and the optimum analysis is carried out according to the theoretical bound.