Equivalence of two types of constructions yielding perfect sequences over 8-QAM+ constellation

This paper discusses the relationship between Zeng, et al.´s and Xu, et al.´s constructions yielding perfect sequences over 8-QAM constellation. By shucking off extrinsic difference of two types of constructions, their essence is found. We verify that two types of constructions are equivalent under unit constant transform. Hence, we draw the conclusion that Xu, et al.´s constructions are the special case of Zeng, et al.´s constructions.