Abstract
We review the time domain, frequency domain, and Fourier series Karhunen–Loéve
series expansion (KLSE) methods for exact BER evaluation in intensity- and
phase-modulated direct-detection optically amplified systems. We compare their
complexity and computational efficiency, and discuss the most relevant implementation
issues. We show that the method based on a Fourier series expansion has the
simplest implementation and requires the minimum number of eigenvalues to
converge to the exact BER value for various kind of optical filters. For this
method, we also introduce an equivalent form of the moment generating function,
that avoids the singularity for eigenvalues equal to zero, and derive an alternative
expansion where signal and noise are expanded on the same orthonormal basis.
© 2009 IEEE
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