Effect of Non-Rectangular Spectra on Receiver Sensitivity
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چکیده
So far the receiver performance analysis assumed ideal rectangular spectra for all of the filters in our system. This chapter analyzes the effect of non-rectangular filter shapes on the receiver sensitivity. Unlike the case of the rectangular spectra analyzed in Chapter 2, the channel seen by the signal and the noise is different now. While the signal path contains two optical filters, one used to spectrum-slice at the transmitter and another used at the receiver to reject out-of-band ASE noise in the preamplifier and also to select the appropriate WDM channel, the noise path contains only one filter due to the fact that the main source of noise is the optical preamplifier. The method used to analyze the effect of non-rectangular spectra on the receiver sensitivity is similar to that used by Arya in [7]. There is however, one significant difference; while Arya made the assumption that when the data signal and noise are added the resulting signal could also be approximated as being chi-square distributed, we did not make such an assumption. Even though the noise and the data signal each have a chi-square distribution, the sum will not be chisquare distributed. This distribution is not needed when applying the Saddlepoint Approximation which only requires the MGF of the received signal to evaluate the receiver’s performance.
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