Abstract
We present some analytical methods for Gaussian optical receivers whose
impulse responses of optical and electrical filters are Gaussian. We obtain
the Gaussian optical receiver's eigenmodes exactly in frequency domain. Their
eigenfunctions are Hermite functions multiplied by a common phase factor.
Using these eigenmodes, we investigate the probability distribution functions
of the electrical filter's output before the decision circuit. We derive a
bit-error rate (BER) expression in a closed form using the lowest-order eigenmode.
It is valid when the optical filter bandwidth is comparable to the modulation
bandwidth as in conventional high capacity optical wavelength-division multiplexing
transmission systems. The BER expression can be applied also to non-Gaussian
optical receivers.
© 2013 IEEE
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