Design of Minimum Correlated, Maximal Clique Sets of One-Dimensional Uni-polar (Optical) Orthogonal Codes

Abstract

This paper proposes an algorithm to search a family of multiple sets of minimum correlated one dimensional uni-polar (optical) orthogonal codes (1-DUOC) or optical orthogonal codes (OOC) with fixed as well as variable code parameters. The cardinality of each set is equal to upper bound. The codes within a set can be searched for general values of code length, code weight, auto-correlation constraint and cross-correlation constraint. Each set forms a maximal clique of the codes within given range of correlation properties . These one-dimensional uni-polar orthogonal codes can find their application as signature sequences for spectral spreading purpose in incoherent optical code division multiple access (CDMA) systems.