Research On The Design Of Perfect Sequence And Sequence Sets Of Zero Correlation Zone

Spread spectrum sequence plays an important role in mobile communication system.Perfect sequence has ideal periodic autocorrelation function,which is used for identification,synchronization,ranging or anti-jamming in communication and radar systems.The zero correlation zone sequence set has ideal autocorrelation property in some small zone around the origin(called zero correlation zone).However,many studies are about binary,quaternary and Quadrature Amplitude Modulation sequence.Gaussian integer is introduced into sequence design as a new address code,which can be used in orthogonal frequency division multiplexing system and code division multiple access system to improve transmission efficiency and spectrum utilization.Therefore,the spread spectrum sequence of Gaussian integer is of great significance to the communication system.Firstly,the construction method of perfect sequence of Gaussian integers is proposed.The number of perfect Gaussian integer sequences can be expanded by setting different parameters or shift length,which greatly improves the flexibility of sequence design.Based on the quaternary Schotten sequence of length N,a perfect almost quaternion sequence of length 4N is constructed by using shift interleaving method,which has only four non quaternary elements.Secondly,the construction method of periodic intra-group complementary sequence set of Gaussian integer is proposed.The method takes the periodic complementary sequence set and the orthogonal matrix as the initial sequence,by extending the initial sequence and mathematical operation,the periodic intra-group complementary sequence set is constructed,and its parameters can be optimized.Finally,the Gaussian integer asymmetric zero correlation zone sequence set construction method is proposed.In this method,Gaussian integer perfect sequence is taken as the initial sequence,and the ZCZ sequence set can be obtained by shift mapping of the shift sequence set.The construction of multiple orthogonal ZCZ sequence sets is realized by parameter transformation of the shift sequence set,and then the Gaussian integer asymmetrically ZCZ sequence set is constructed by zero-filling and filtering the sequence.The ZCZ length and inter set ZCZ length of the Gaussian integer asymmetric zero correlation region sequence set constructed by this method can be set flexibly.