On the Spreading Sequences with Perfect Periodic Crosscorrelation Properties

To eliminate the multiple access interference of asynchronous direct sequence code division multiple access (DS-CDMA) system, a set of sequences with perfect crosscorrelation functions (CCFs) is desirable, although the corresponding autocorrelation function (ACF) cannot be simultaneously perfect based on the theoretical bounds. In this letter, a general construction of the spreading sequences with perfect periodic CCFs is presented, and the corresponding theoretical limit on the family size, the number of phases, and the sequence length is also investigated.