The Research Of Z-Complementary Pairs With Large Zero Odd-Period Correlation Zone

Complementary sequences have good auto-correlation and cross-correlation properties.During the past few decades,Z-complementary pairs have attracted a lot of attention and much progress has been made.The current research on Z-complementary pairs is basically about their period or period correlation.In fact,the odd period correlation has the same importance as the period correlation function.Under certain conditions,the periodic complementary sequence set and the odd periodic sequence set can be transformed into each other.More importantly,a sequence with a larger odd-period autocorrelation centered on the origin can be used to reduce multipath interference at the receiver end.Therefore,designing complementary sequences with flexible lengths of odd-period zero-correlation regions has very important research value.Inspired by the existing research work,this paper proposes for the first time one-dimensional ZCP and two-dimensional ZCAP with zero correlation zone and zero odd-periodic correlation zone at the same time,and gives the relevant structure.The content of the academic dissertation is arranged as follows:In Chapter one,we mainly introduce the background and known works on zero correlation zone sequence set,zero correlation zone complementary sequence set,zero odd-periodic correlation zone complementary sequence set.In addition,the importance of constructing Z-complementary pairs/arrays with zero odd-periodic correlation zones is also given.In Chapter two,we introduce some common symbols and conventions in this article,and gives the definitions and concepts of aperiodic correlation functions,odd-periodic correlation functions,complementary sequence pairs,two-dimensional arrays and their related functions,etc.,and some preliminaries needed later.In Chapter three,we give the definition of ZCP with zero odd-periodic correlation zone.And firstly investigate the odd-periodic correlation property of ZCPs,and propose a new class of ZCPs,called ZOC-ZCPs with zero correlation zone(ZCZ)width Z and zero odd-period correlation zone(ZOCZ)width Zodd=Z by horizontal concatenation of a certain combination of some known ZCPs.Particularly,based on any known Golay pair,we can generate a class of GCPs of more flexible length whose ZOCZ width is larger than a quarter of the sequence length.In Chapter four,we present 2-D ZCAP odd-periodic correlation functions and 2-D ZCAP with zero correlation zone.And we first investigate the odd-periodic correlation property of ZCAP,and propose a new class of ZCAP,called((2mL1,4·2nL2),(2m,Z),(2m,Z))-ZCAP.