How to Construct Mutually Orthogonal Complementary Sets With Non-Power-of-Two Lengths?
Shing-Wei Wu, Chao‐Yu Chen, Zilong Liu
Abstract
Mutually orthogonal complementary sets (MOCSs) have received significant research attention in recent years due to their wide applications in communications and radar. Existing MOCSs which are constructed based on generalized Boolean functions (GBFs) mostly have lengths of power-of-two. How to construct MOCSs with non-power-of-two lengths whilst having large set sizes is a largely open problem. With the aid of GBFs, in this paper, we present new constructions of such MOCSs and show that the maximal achievable set size is 1/2 of the flock size of an MOCS.
Topics & Concepts
Construct (python library)Boolean functionMathematicsSet (abstract data type)Power (physics)Discrete mathematicsAlgorithmComputer sciencePhysicsProgramming languageQuantum mechanicsPAPR reduction in OFDMRadar Systems and Signal ProcessingWireless Communication Networks Research