Research On Multiple Zero Correlation Zone Sequence Sets And Quasi-Complementary Sequence Sets

Sequences with good performance have always played important role in wireless communications,radar,sonar and guidance.In respond to the problems of interference suppression in multi-cell environment and massive user access in 5G communication,this dissertation researches on the design of multiple zero correlation zone(ZCZ)sequence sets(ZSSs)and quasi-complementary sequence sets with good correlation property,including multiple ZSSs with inter-set zero cross-correlation zone(ZCCZ),multiple ZSSs with low inter-set cross-correlation/uncorrelation,ZCZ complementary sequences sets(ZCSS)and multiple complementary sequence sets.Firstly,two constructions of multiple ZSSs with inter-set ZCCZ are investigated.Starting from the research on the construction of an existing multiple ZCZ sequence sets,the constraints of its parameters are supplemented to ensure the obtained sequence sets are optimal.In order to relax such constraints,a new construction based on DFT matrices is proposed by transforming matrices.The resulting sequence sets are optimal and the parameters are more flexible.In addition,in response to the open problem of how to construct multiple ZSSs based on PU matrices presented by Das.et al,by introducing permutation matrices with a certain relationship,the connection between the single ZSS designed by PU matrices is established.It shown that different ZCZ sequence sets have ideal cross-correlation properties within a ZCCZ.The solution to the open problem is given for the first time.Furthermore,the resultant sequence lengths are more flexible,and the parameters are asymptotically optimal.Secondly,the range of attention to inter-set cross-correlation of multiple ZCZ sequence sets is extended from ZCCZ to the whole sequence period.Based on the theory of PU matrix,two classes of multiple ZSSs with good inter-set cross-correlation are further researched.For the purpose of extending the form of parameters and reducing the coupling between parameters,by designing two types of initial matrix sets,two classes of multiple ZSSs with low inter-set correlation are constructed,while the sequence lengths are more diverse,and the obtained sequence sets are asymptotically optimal.Further,in order to completely eliminate the cross-correlation between different ZCZ sequence sets,by blocking and superimposing DFT matrices,a construction of multiple ZSSs with interset uncorrelation is proposed.Then,a larger set of asymptotically optimal ZSSs can be generated by merging each ZSS.Then,using the orthogonal properties of orthogonal matrices,two constructions of aperiodic ZCSSs are studied.In order to generalize the analytic functions in the existing ZCSS constructions based on orthogonal matrices,a new class of construction is proposed by designing flexible initial matrices.Subsequently,the number of construction results is greatly increased,and the parameters of the obtained sequence sets are optimal.Furthermore,so as to relax the constraints that the sequence lengths of ZCSSs based on orthogonal matrices are several times the ZCZ lengths,a class of ZCSSs with arbitrary sequence lengths is constructed by designing initial matrices,transforming matrices and iteration operation.The obtained sequence sets are optimal when a certain condition is met.Finally,two classes of multiple complementary sequence sets are investigated by orthogonal matrices and circle Florentine arrays,respectively.By constructing mapping function,a class of multiple complete complementary sequence sets(CCSSs)with interset ZCCZ is provided by utilizing the orthogonal characters of orthogonal matrices.Then the union of CCSSs can generate a larger set of optimal ZCSS.Besides,based on cyclic Florentine arrays,multiple permutation sets can be obtained by cyclic displacement of its row vectors with different steps,then a new class of multiple ZCSSs with low inter-set correlation is proposed and designed for the first time.The characteristic is that the length of the ZCZ of each sequence set can be freely selected.In addition,each ZCSS is optimal,and a larger set of asymptotically optimal aperiodic low correlation zone complementary sequence sets can be generated by combining each ZCSS.