Construction and performance analysis of a new family of optical orthogonal codes with ideal auto- and cross-correlation functions for use in CDMA fiber-optic LANs

A construction of a new family of optical orthogonal codes (OOC) for use in code division multiple access (CDMA) fiber-optic LANs is given. Previous families of OOC are reviewed and basic requirements for successful implementation of the fiber-optic CDMA system in LAN given. The new code construction is based on Costas arrays and the codes are proved to be (/spl omega/(2p-3), /spl omega/, 1, 1), p a prime and w*Q/spl les/p-1, where Q is the maximum number of users, OOC codes. The probability of error in the multiuser system as a performance measure is calculated and compared with that of existing OOC. The size of the code family is compared against the Johnson bound. Examples of codes and their auto- and cross-correlation functions are also given.