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

摘要

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 (ω(2p - 3), ω, 1, 1), p a prime and ω*Q≤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. Exampies of codes and their auto- and cross-correlation functions are also given.