Novel IGC codes with inter-subset zero-correlation zone for code division multiple access

Abstract

With the aid of interleaving operations, a novel construction of inter-group complementary (IGC) codes is proposed based on perfect complementary (PC) codes and orthogonal matrices. The presented IGC codes which consists of multiple groups with multiple subsets and each subset is a Z-complementary codes. For the novel IGC code, its cross-correlation function (CCF) between any two codes of different subsets in the same groups have a wider zero correlation zone (ZCZ) than that of any two codes in the same subset and its CCF between any two codes of different groups are zeros everywhere. IGC codes based code division multiple access (CDMA) systems may perform better on bit error rates than conventional codes based traditional interference-limited CDMA systems. Moreover, the new IGC codes may work well in both synchronous and asynchronous operational modes.