Abstract
Starting from a previously proposed frequency-domain Volterra series nonlinear equalizer (VSNE), whose
complexity evolves as
$O(N^3)$
, with
$N$
being the frequency-domain block length, we derive a symmetric VSNE filter array formulation
for polarization-multiplexed (PM) signals, whose full VSNE equivalent is up to 3
$\times$
more computationally efficient, with zero performance penalty. By gradually reconstructing the
third-order kernel from its column/diagonal components, the full VSNE can be reduced to a restrict set of
$N_k$
frequency-domain filters, leading to
$O(N_k N^2)$
complexity, associated with negligible performance
loss. Finally, a simplified VSNE approach with invariant Kernel coefficients is proposed, delivering
$O(N_k N)$
complexity at the expense of controlled performance
penalty. The proposed array of symmetric VSNE filters significantly increases the scalability of the previous
matrix-based VSNE, providing a more flexible balance between performance and complexity, which can be freely adjusted
to match the available computational resources. Performing a direct comparison between the simplified VSNE and the
widely used split-step Fourier method in a long-haul 224 Gb/s PM-16QAM transmission system, we demonstrate a reduction
of over 60% in terms of computational effort and 90% in terms of equalization latency.
© 2013 IEEE
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