Even periodic and odd periodic complementary sequence pairs from generalized Boolean functions

A pair of two sequences is called the even periodic (odd periodic)complementary sequence pair if the sum of their even periodic (oddperiodic) correlation function is a delta function. The well-knownGolay aperiodic complementary sequence pair (Golay pair) is aspecial case of even periodic (odd periodic) complementary sequencepair. In this paper, we presented several classes of even periodicand odd periodic complementary pairs based on the generalizedBoolean functions, but which do not form Gloay pairs. The proposedsequences could be used to design signal sets, which have beenapplied in direct sequence code division multiple (DS-CDMA) cellularcommunication systems.