Design Of Asymptotically Optimal Aperiodic Quasi-complementary Sequence Set

Multiple carrier code division multiple access(MC-CDMA)and single carrier frequency division multiple access and division multiple access(SC-FDMA-CDMA)are important parts of modern communication.Aperiodic quasi-complementary sequence set(QCSS)can support a large number of users in asynchronous MCMA system and asynchronous SC-FDMA-CDMA system by virtue of its good correlation and large set characteristics,so it is of great significance to design aperiodic QCSS in a communication system.In this paper,the construction method of multiple complete complementary codes is designed,and then the asymptotically optimal aperiodic QCSS is constructed.The specific method is as follows.In this paper,we first propose a new class of permutation on ZN,such that for any ??ZN and c?Z**N,the equation?(x+?)?c?(x)(mod N)has one and only one solution on ZN.According to this permutation,we propose a generic construction of multiple sets of CCCs over ZN,consisting of sequences of length N,where N? 3 is an arbitrary odd integer.Interestingly,the maximum inter-set aperiodic correlation magnitude of the proposed CCCs are upper bounded by N.It turns out that the combination of the generated CCCs results in a new set of sequences to obtain asymptotically optimal and near-optimal aperiodic QCSSs.The parameters of the asymptotically optimal QCSSs constructed in this paper are more flexible,and it contains the odd-length QCSSs proposed in the literature as a special case.