A cyclic prefix of length G (greater than the channel length) is added to the IFFT output to prevent multipath-induced ISI.
In the implementation of the optical OFDM/DMT, the output of the IFFT block feeds straight into a digital-to-analogue converter (DAC) which translates the discrete IFFT sample points into continuous time-varying signal. This continuous time-vary- ing signal is then used to drive the intensity of the optical source, typically LED in this case. The DAC is also usually designed or chosen such that its output is well within the input dynamic range of the driver–LED combination. This is to avoid any signal clipping which might then have a negative impact on the system performance. At the receiver, after removing the cyclic prefix, y[n] is applied to the FFT. Due to the cyclic prefix, the linear convolution between the transmitted signal and the chan- nel becomes circular convolution; hence, the output of the FFT can be written as
multiplication in matrix form given by
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