Construction of optical orthogonal codes for use in cdma fiber-optics systems / Propostas de codigos ortogonais para sistemas OCDMA

AUTOR(ES)
DATA DE PUBLICAÇÃO

2005

RESUMO

This thesis presents a study of optical orthogonal codes (OOe) for application in communication systems using the technique of fiber-optics code division multiple access (OCDMA). The Prime Sequence codes and Quadratic codes are, for the first time in literature, characterized as Slepian group codes (spherical codes) and Quadratic Residues codes, respectively. Through the algorithm of the closed d-chain the Prime Sequence codes are obtained, as a particular case of the Slepian codes. The Quadratic codes are represented by binary quadratic integers in the form of Diophantine equations with two variables, so that, Z2 lattice or Â3 lattice supplies the codeword of the quadratic code. Furthermore, this thesis presents three new constructions of optical orthogonal codes (OOC), construed via congruences having as base the algebraic structure of the multiplicative group of the GaloisField GF(p). The performance of the codes is evaluated using the criterion of the error probability, for situations where the optic receiver incorporates a fiber-optic limiter and a APD photodiode. The performance of the system is evaluated considering the effect of the interference of multiple access, the ballistic noise of the photodiode and the thermal noise of the receiver. The performance of the considered codes is compared with the performance of other codes found in the technical literature. It is observed that the codes considered in this thesis, in this thesis, present similar performance to the reported codes, having as advantage an algebraic structure of simple implementation and better synchronism

ASSUNTO(S)

comunicações oticas telecomunicações signal detection diophantine approximation telecommunication formas quadraticas aproximação diofantina binary forms detecção de sinais quadratic forms formas binarias optical communication

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