Proposal for One Dimensional Optical Orthogonal Codes: Design, Analysis, & Algorithm

Abstract

In this paper, an algorithm is proposed to design maximum possible sets of one dimensional orthogonal codes of given code length 'n', code weight 'w', auto-correlation constraint a λ_a and cross-correlation constraint c λ_c. Each set consists of number of unipolar orthogonal codes up to maximum limit given by Johnson bounds. Here, each of the designed sets of unipolar orthogonal codes is independent of other sets of unipolar orthogonal codes of same length, same weight, and with same or different number of codes. The results of the proposed algorithm are being compared with other one dimensional optical orthogonal code generation schemes presented in literatures. The unipolar orthogonal codes of any of the designed sets can be utilized for generation of optical signature sequences for assignment to users of Incoherent Optical Code Division Multiple Access (OCDMA) system for the purpose of spread spectrum communication over optical fiber.