The Analysis And Construction Of Two-dimensional Periodic Correlation Frequency Hopping Sequence Sets Base On Circumision Theory And Extension Interleaved

Since spread spectrum communication has excellent anti-jamming ability,with extensive use of military,a lot of researches are about it.With the continuous development and maturity of communication technology,this technology has been applied more and more fields,such as ultra-wideband system,GSM,bluetooth,etc.Frequency hopping communication is a common technology in spread spectrum communication.Pseudo-random sequence in frequency hopping system is not directly transmitted,but used to select channel,so it is called frenquency hoppping sequence.The capability of frequency hopping sequence has an vital repercussion on the system property,therefore the hinge of system is the frenquency hopping.In the actual communication system,besides the time delay,there is also the effect of Doppler Shift on the signal.Consequently,this paper mainly studies how to construct the non/low collision frenquency hopping sequence set which still has good characteristics under two-dimensional real-time delay and Doppler Shift.Firstly,this paper analysed two-dimensional Hamming correlation of construction method based on extended generalized circumcision.The autocorrelation and cross correlation characteristics of the FH sequence set under the influence of two-dimensional are analyzed under different parameters.And it is proved that the FH sequence set meet the optimal average hamming correlation.Secondly,the Hamming correlation characteristics of the frequency hopping sequence set constructed by the extended interleaved theory in the time-frequency two-dimensional are counted.Besides,the conditions and requirements that the base sequence set needs to meet aiming with good Hamming correlation are deduced.A method to construct no/low hit zone is proposed.And the frequency hopping sequence set are optimal in the time-frequency two-dimensional.Besides a construction example is given.Finally,in order to avoid shift equivalence,two methods of constructing shift sequence set are given,which are respectively applied to the case that the length of base sequence set is odd prime number and even number.The shift sequence set can effectively avoid the occurrence of shift equivalence.After improvement,this construction method based on extended interleaved can obtain the optimal FH sequence set with longer sequence length,more sequences,unequal shifts,and good Hamming correlation in the time-frequency twodimensional no/low hit zone.