This Master Thesis aims to review and study the different alternatives for application of OFDM technologies to optical fibre networks and assess their potential as the basis of the next generation PON. New proposals based on predistortion circuits which alter the OFDM signal to transmit prior to optical modulation will be made and analyzed. A total of 6 different systems have been designed and their performance assessed through numerical simulations. These systems are composed by predistortion and conventional oIQ transmitters joined with Direct Detection (DD), Basic Heterodyne Coherent Detection and Conventional Homodyne Coherent Detection, (COH D) receivers. All the simulations have used the commercial software VPItransmissionMakerTM and VPIphotonicsAnalyzerTM, (VPI) in combination with Matlab coding for the OFDM coder and decoder. The performance of 6 optical OFDM transmission system scenarios is measured by running a script in TCL/TK language that allows to run a simulation sequence in which the parameters under study such as Sensitivity and Extinction Ratio (ER) were successively changed in order to obtain informative plots about the systems transmission properties.