Research On The Design Of Mismatched Binary And Quaternary Complementary Sequcnece With Ideal Autocorrelation Property

Sequence design as a key technology of mobile communication system,it can provide multiple access and multiplex for system,the existence scope,autocorrelation and cross-correlation of the sequence determine the capacity,resistance the interference and data transmission rate performance of the communication system.Therefore,this paper takes the existence scope and ideal correlation performance of complementary sequences as the goal,introduces the mismatched sequence into the design of complementary sequences,and studies the construction method of mismatched complementary sequences.Firstly,a method for constructing punctured mismatched binary complementary sequences with composite length based on the Chinese remainder theorem is proposed.Combining punctured sequences and mismatched complementary sequences,based on Chinese remainder theorem and periodic binary complementary sequence put forward construction method of punctured mismatched binary complementary sequence,propose the new concept of punctured difference family pair and establish the equivalent relationship between it and punctured mismatched binary complementary sequence,provides a new mathematical tool for the design of the punctured mismatched binary complementary sequence.By the study of this chapter,the existence scope of the perfect binary complementary sequence is expanded from the even length to the composite length,which can provide more and larger length selection for the actual communication system.Secondly,the method of constructing ideal balanced binary and quaternary almost complementary pairs with prime length based on cyclotomy are proposed.A construction method of ideal binary almost complementary pairs with prime length is proposed based on the order four of cyclotomy,and the equivalent relationship between difference family and ideal balanced binary almost complementary pair is deduced;the theoretical boundary of quaternary almost complementary pairs is studied and a construction method ideal balanced quaternary almost complementary pairs with prime length is proposed based on the order four of cyclotomy to satisfy the theoretical boundary requirement.The construction method is simple and the parameters are flexible and systematic,which provides a new idea for the study of complementary sequences.Finally,the method of constructing ideal balanced mismatched quaternary almost complementary pairs based on the cyclotomy is proposed.Put forward the new type balanced mismatched quaternary almost complementary pairs,By study getting the theoretical boundary of balanced mismatched quaternary almost complementary pair,the construction method of the ideal balanced mismatched quaternary almost complementary pairs are studied based on the order four of cyclotomy.Compared with the quaternary almost complementary pair,the mismatched quaternary almost complementary pair has more choice of parameters at the same length,which provides different choices for the application of the same length.