Research On Construction Of Zero Collision Zone Hopping Frequency Sequence And The Theory Bound Of Hopping Frequency Sequence Pairs

Frequency hopping(FH) communication is a kind of spread spectrum communication technology which are often used. The working principle of common frequency hopping communication system is using the frequency hopping sequence to control both the receiving and the transmitting end whose carrier frequcecy appeare jumping. Hamming correlation properties of frequency hopping sequence has very important effect on the performance of frequency hopping code division multiple access(FH-CDMA) communication system. Zero correlation zone(ZCZ) frequency hopping sequence have ideal Hamming correlation properties in the relevant area. Based on the characteristics, so that it can be used as the user address code in the quasi synchronous FH-CDMA system. At the same time,it can be used to eliminate or reduce the multiple access interference. Finally,it can improve the performance of the system. In this paper, author studied the design methods about the zero correlation zone frequency hopping sequence set and the theory bound of frequency hopping sequence pairs, some results have obtained.Firstly, the basic concepts of ZCZ frequency hopping sequence sets are introduced. However, author also research the related properties and theorems about the ZCZ frequency hopping sequences.Secondly, according to the parameter setting, using matrix, through a sequence of shift operation, construction of two different kinds of ZCZ frequency hopping sequence sets which both achieve to the theory bound. At the same time, it using the relevant knowledge of mathematics proof of the theory and MATLAB simulation, in the end abtained a class of optimal ZCZ frequency hopping sequence sets.Thirdly,based on the ZCZ frequency hopping sequence, author extended it to two dimension space, putting forward the time shift ZCZ frequency hopping sequence code set, the constraint relations between parameters are given,and presents two construction methods.Finally, putting forward the theoretical concept of frequency hopping sequence pairs, and using the mathematical prood, obtained the frequency hopping sequence even periodic Hamming correlation function theory. The conventional frequency hopping sequence pair set maximum periodic Hamming correlation theory and the conventional frequency hopping sequence pair set average cycle Hamming correlation theory.