Gaussian Integer Sequences And Complementary Sequence Sets With Perfect Or Good Correaliton Properties

With the advent of the fifth generation of mobile communications,the rapid increase in service types and the number of user terminals puts forward higher requirements on the performance and capacity of the communication system.Correspondingly,the design of the system address code and the pilot signal design in the channel assessment have been concerned in high-speed mobile communications,so the design of sequences and sequence sets with good correlation properties has important theoretical significance and application prospects.In this paper,the new design ideas are given for the perfect Gaussian integer sequence and complementary sequence with the optimal autocorrelation properties.Zero correlation zone complementary sequence sets and inter-group complementary sequence sets with good correlation properties are researed for exploring new set parameters.It includes the following aspects.Firstly,the sufficient and necessary condition for constructing the perfect Gaussian integer sequences with 2-degree freedom is given based on the cyclic difference sets,and the perfect Gaussian integer sequence with higher energy efficiency can be obtained.At the same time,the length and degree of freedom of the perfect Gaussian integer sequences are extended by up-sampling and filtering.A large number of perfect Gaussian integer sequences suitable for high-speed communication systems are obtained.Secondly,select the aperiodic complementary sequence and the perfect sequence as the basic sequence,perform periodic filtering through different combinations,and combine the zero-padding operation to construct arbitrary length 8-QAM periodic complementary sequence,even length 4-QAM,16-QAM,quaternary complementary sequences,and arbitrary length period complementary sequence set of general charactersets.In addition,the aperiodic filtering operation is defined,which can be used to extend the aperiodic complementary sequence set.By the aperiodic filtering operaton,a class of odd-length complete complementary codes with new parameter forms is constructed.Thirdly,based on the aperiodic complementary sequence set and orthogonal matrix,a construction of Gaussian integer zero correlation zone periodic complementary sequence sets is presented by zero-padding and filtering operation.The obtained sequence set parameters can reach the optimal theoretical bound,and the length of ZCZ can be chosen flexibly.Finally,the optimal periodic inter-group complementary set is constructed.By constructing a kind of arbitrary order Gaussian integer orthogonal matrix,the number of users and the number of cells can be chosen flexibly.Using this arbitrary order orthogonal matrix and perfect Gaussian integer sequences,we design periodic inter-group complementary sequence sets with arbitrary zero correlation zone length.The constructed sequence sets with wider range of set parameters are unconditionally optimal.