The Research For Three Classes Of Complementary Sequence Pairs

The complementary sequence with low correlation plays an import role in modern mo-bile communication technologies such as OFDM,MC-CDMA,MIMO.In this thesis,we did research on three topics,i.e.,the new lengths of binary Type-II Z-Complementary Pairs（ZCP）construction,the new systematic constructions of binary and quadriphase Cross Z-Complementary Pairs（CZCP）construction,and Alpha Seq based Ideal Complementary Codes optimizationstrategy.At first,by applying Symmetrical Golay Complementary Pair（GCP）as seed sequence,we construct two different classes of Type-II binary Z-optimal ZCPs.The first class is constructed by using the insertion operator with length of 2^α10^β26^γ+3.The other one is constructed by using the deletion operator with length of 2^α10^β26^γ-3.Based on K₁₀and K₂₆,we construct the larger length GCPs on Turyn’s method.Furthermore,by applying deletion operator on the above GCPs,we construct three new lengths Type-II binary ZCPs with large zero correlation zone.Secondly,based on the method of horizontal concatenation,we propose a new algorithm to construct binary CZCP.From which,several CZCPs could be obtained with new length and large cross Z-complementary ratio.Meanwhile,we provide a way of constructing quadriphase CZCP by using complex numbers to linearly compound the binary CZCP and its mate.Finally,on the basis of Alpha Seq framework,which was proposed by Shao et al,we pro-pose two new optimization strategies:the metric function with new norm and data augmen-tation.In order to evaluate the effectiveness of our proposed method,four groups of ablation experiments are designed.The comparison of simulation results show that two optimization strategies can improve the efficiency of Alpha Seq in constructing binary Ideal Complementary Codes.