一般构造团体之间补足(IGC ) 代码基于完成式被建议补足(PC ) 代码,交叉操作,和直角的矩阵。最新构造的 IGC 代码的关联性质能如下被描述:(1 ) 代码的自相关 sidelobes 在零个关联地区(ZCZ ) 是零;(2 ) 在一样的组的任何二不同代码之间的跨关联的函数(CCF ) 在 ZCZ 是零;(3 ) 在不同的组的任何二代码之间的 CCF 到处是零。这构造的关键点是产生 IGC 代码的 ZCZ 长度能灵活地被选择。在 ZCZ 长度和配偶的数字之间有限制,是众所周知的;也就是说 ZCZ 的长度越小,越多是能被产生的 IGC 代码。因此,如果我们能根据系统的要求灵活地选择 IGC 代码的 ZCZ 长度,更多的用户能在系统被提供。
A general construction of inter-group complementary (IGC) codes is proposed based on perfect complementary (PC) codes, interleaving operation, and the orthogonal matrix. The correlation properties of the newly constructed IGC codes can be described as follows: (1) the autocorrelation sidelobes of the codes are zeros in the zero correlation zone (ZCZ); (2) the cross-correlation functions (CCFs) between any two different codes of the same group are zeros in the ZCZ; (3) the CCFs between any two codes of different groups are zeros everywhere. The key point of this construction is that the ZCZ length of the generated IGC codes can be chosen flexibly. It is well known that there is a limitation between the ZCZ length and the number of mates; that is, the smaller is the length of ZCZ, the more are the IGC codes that can be generated. Therefore, if we can choose the ZCZ length of the IGC codes flexibly according to the requirement of the system, more users can be accommodated in the system.