Research On Designs Of Asymmetric Low/Zero Correlation Zone Sequence(Pair) Sets

The sequences with low/zero correlation zone(LCZ/ZCZ)have been widely applied in code division multiple access(CDMA),massive multiple input multiple output(MIMO),orthogonal frequency division multiplexing(OFDM),radar,navigation,positioning etc.In this thesis,the designs of LCZ/ZCZ sequences are investigated,which includes the asymmetric LCZ/ZCZ sequences(pair)and inter-group complementary sequences.Firstly,this thesis shows the condition that shift sequence(set)should be satisfied according to the importance of shift sequence(set)for constructing ALCZ/AZCZ sequences based on interleaved technique.At the same time,we generalize the designing of shift sequence(set)in the traditional LCZ/ZCZ sequence set from the interleaving method,and obtain three classes of(quasi)optimal shift sequences(sets).The first class is three special shift sequences,which only satisfies some special parameters.The second class is a generalized method,which can satisfy any parameter.The third class can not only satisfy any parameter,but also be able to choose parameters flexibly.Secondly,combined with the extended design of shift sequence(set),three kinds of new AZCZ sequence sets are constructed via interleaving technique.First,based on perfect auto-aorrelation(PAC)sequence,we construct a class of(quasi)optimal AZCZ sequences with large zero cross-correlation zone(ZCCZ);second,putting forward a kind of the design of uncorrelated ZCZ(UZCZ)sequence set from interleaving perfect sequence;third,obtain the two types of inter-subset uncorrelated AZCZ(UAZCZ)sequence set based on UZCZ sequence sets and interleaved technique.Thirdly,based on the extended shift sequence(set),the generalized construction of the AZCZ sequence set is proposed via the traditional ZCZ sequence set.The new method makes the mapping relation between the traditional ZCZ sequence set and the AZCZ sequence set,and unifies the existing design of some AZCZ sequence set.In addition,the(quasi)optimal AZCZ sequence set can be obtained under certain conditions.In particular,if the base sequence set is a traditional binary ZCZ sequence set and the extension matrix is a binary orthogonal matrix(OM),the proposed method can generate binary AZCZ sequence set,which is an important way to construct binary AZCZ sequence set.In addition,the concept of AZCZ sequence sets is generalized to sequence pair sets,and the concept of AZCZ sequence pair sets is proposed.The constructions are intensive studied.(1)Several designs of AZCZ sequence pairs proposed by interleaving the shifted PAC sequences(pairs).(2)Three kinds of UZCZ sequence pair set are obtained by interleaving a PAC sequence(pair).(3)Based on the sequence of PAC(pair),three classes of UZCZ sequence pair set are put forward.At the same time,two types of UAZCZ sequence sets are constructed from interleaving an UZCZ sequence pair set.In particular,the ZCZ length of the second construction of UAZCZ sequence pairs can be selected flexibly according to the system requirements.(4)In order to get a general design of AZCZ sequence pairs set,a generalized construction method is proposed based on a traditional ZCZ sequence(pair)set.Compared with other methods,this scheme is more flexible and universal,and the application is wider.Finally,based on the theory of UZCZ sequence set,the concept of Z-periodic complementary(ZPC)sequence set with perfect cross-correlation(PCC)is proposed,and a class of ZPC sequence sets with PCC is given via interleaving a periodic complementary sequence(PCS).Moreover,a new construction of IGC sequence set is put forward based on the ZPC sequences with PCC.The new method can not only choose the parameters flexibly,but also the number of groups is larger than that of some existing designs.Especially,with the assist of AZCZ sequence set,the concept of asymmetric Z-periodic complementary(AZPC)sequence set is proposed.Furthermore,a systematic construction of AZPC sequence set is given by interleaving the common ZPC sequence set.It is also a generalized method for existing construction of the IGC sequence sets.