近互补序列理论上界新型的LS扩频码

Near Theoretical Upper Bound New LS Complementary Spreading Codes

设计了一种利用正交矩阵与零相关窗(ZCW)互补码Kronecker积的方法,构造了强抗干扰能力的loose synchronous(LS)ZCW组码,并证明了其ZCW特性.新组码增加了每个码字的理想互补码数目,扩大了组内码字的ZCW,使组内码字的自相关和互相关ZCW宽度完全相等,组间码字的最小ZCW与基本LS码的最小ZCW一致;构造的LS码字数目与理论上界的数目仅相差1.仿真结果与理论推导相符.

A new class of loose synchronous（ LS） spreading codes with zero correlation window （ZCW） was presented. It was constructed by making Kronecker product of orthogonal matrix and ZCW complementary codes. This new LS code increases the number of perfect complementary pair, and extends ZCW within the same group. Moreover, both auto correlation and cross correlation of ZCW in the same group remain identical. The minimum ZCW among different groups is the same as that of basic LS codes. The method for constructing these new codes is presented and the ZCW properties are also verified. The number of these new codes is only smaller than theoretical upper bound by one.