Construção de Novos Códigos Ortogonais Ópticos por meio de Equações Diofantinas (New Optical Orthogonal Codes by Using Diophantine Equations)

Adriano Domingos Neto (adriano@dsif.fee.unicamp.br), Edson Moschim (moschim@dsif.fee.unicamp.br)


Departamento de Semicondutores, Instrumentos e Fotônica (DSIF) da Universidade Estadual de Campinas (UNICAMP), Brazil.
This paper appears in: Revista IEEE América Latina

Publication Date: July 2005
Volume: 3,   Issue: 3 
ISSN: 1548-0992


Abstract:
Two families of optical orthogonal codes (OOC's) are algebraically designed by using the parametric binary quartic and quadratic forms. The first family of codes has ideal auto and cross-correlation properties and the second family has nonideal cross-correlation properties. The performance of these codes is presented as function of the number of simultaneous OCDMA system users. We present examples of the constructed codes for illustration purposes. The algebraic OOC's being proposed in this paper find applications in asynchronous optical code division multiple access (OCDMA) systems.

Index Terms:
Optical orthogonal Code, optical code division multiple access (OCDMA systems), diophantine equation, correlation function   


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