Design and Analysis of 2-D Codes With the Maximum Cross-Correlation Value of Two for Optical CDMA

Abstract

In this paper, a new family of two-dimensional (2-D) optical codes with the maximum cross-correlation value of two is constructed and analyzed for optical code-division multiple access. Our 2-D codes employ wavelength hopping, controlled by the permutations of ¿synchronized¿ prime sequences, onto the pulses of a time-spreading optical orthogonal code (OOC). The new construction supports larger code cardinality (for more subscribers) and heavier code weight (for better code performance) without increasing the code length or number of wavelengths. Under certain conditions, our analysis shows that the new codes can perform better than our multiple-wavelength OOCs, which have cross-correlation values of at most one.