Direct Construction of Optimal Z-Complementary Code Sets With Even Lengths by Using Generalized Boolean Functions
Gobinda Ghosh, Sudhan Majhi, Palash Sarkar, Ashish Kumar Upadhaya
Abstract
The Z-complementary code set (ZCCS) is well-known for being used in multicarrier code-division multiple access (MC-CDMA) systems to provide interference-free communication in a quasi-synchronous environment. Based on the existing literature, the direct constructions of optimal ZCCSs are limited to their lengths. This letter proposes a direct construction of optimal ZCCSs for all possible even lengths using generalized Boolean functions. The maximum column sequence peak-to-mean envelope power ratio (PMEPR) of the proposed ZCCSs is upper-bounded by two which can benefit in managing PMEPR over a ZCCS-based MC-CDMA system.
Topics & Concepts
Boolean functionCode division multiple accessInterference (communication)Bounded functionCode (set theory)Set (abstract data type)Envelope (radar)AlgorithmMathematicsBoolean expressionComputer scienceTheoretical computer scienceDiscrete mathematicsTelecommunicationsChannel (broadcasting)RadarMathematical analysisProgramming languageWireless Communication Networks ResearchPAPR reduction in OFDMAdvanced Wireless Communication Techniques