Two constructions for optimal Z-complementary sequence sets

Abstract

Z-complementary sequence sets (ZCSSs) can be applied to multi-carrier code division multiple access (MC-CDMA) systems as user address codes to eliminate multi-path interference and multi-access interference. In this paper, two constructions of ZCSSs are investigated. First of all, flexible and diverse seed sequence sets are employed to generate a large number of optimal ZCSSs, which is a generalization of an existing construction. Next, note that most ZCSSs obtained by orthogonal-matrix-based constructions have lengths that are multiples of the ZCZ widths. Toward the challenge of designing ZCSSs of various lengths, we proposed a noval construction that can yield ZCSSs with arbitrary lengths based on orthogonal matrices. In this way, different transmission rates can be facility provided to cater for different application scenarios. In addition, the flock sizes and ZCZ widths can be chosen flexibly. It means that, in theory, the obtained ZCSSs can be applied to MC-CDMA systems of various sub-carriers. To the best of our knowledge, the construction of ZCSSs have not been reported in the literature.