Research On The Design Of Periodic Complementary Sequence And ZCZ Sequence Set

By using own ideal correlations,the complementary sequences can effectively solve the interference problem in the Multi-carrier CDMA communication system.Zero correlation zone sequence sets have good correlations,which can eliminate multi-path interference and multiple access interference in quasi-synchronous code division multiple access system.It can also be used in channel estimation of orthogonal frequency division multiple system.Therefore,it is very important to study the sequences with good performance.This thesis mainly researches the design method of Gaussian integer complementary sequences and zero correlation zone sequences.Firstly,based on the relationship between periodic complementary sequences and difference families,Gaussian integer periodic complementary sequences are proposed.According to the existing mapping method,three mapping methods satisfying the conditions are proposed,and by using different mapping methods and combinatorial,three constructions of Gaussian integer complementary sequences are obtained.Gaussian integer periodic complementary sequences are constructed by using any mapping method in the first method.By combining the mapping methods,the number of Gaussian integer periodic complementary sequences expands four times in the second method.In the third method,the sequence length of the Gaussian integer periodic complementary sequences expands two times by interleaving the two mapping methods.Secondly,the construction of zero correlation zone sequence set is researched based on perfect sequences and orthogonal sequence sets.With the method of constructing on finite field,the optimal zero correlation zone sequence sets are constructed.By changing the set O and R,multiple shift distinct ZCZ sequence sets can be obtained,and the number of sets can be expended.Through the constructions,the length of ZCZ can be chosen flexibly to meet the requirements of different systems for channel delay under the condition of p-N/Z or pn-N/Z,where P is a prime.Finally,Based on DFT matrices and no-hit-zone frequency hopping sequence sets,a construction of multiple optimal polyphase zero correlation zone sequence sets with inter-set zero cross-correlation zone(ZCCZ)is proposed.The parameters of each subset are optimal,and arbitrary two sequences from different subsets have the same inter-set ZCCZ.Furthermore,new no-hit-zone frequency hopping sequence sets are proposed,which can be used in the construction of multiple polyphase zero correlation zone sequence sets with inter-set ZCCZ.