Abstract
Application of multi-level coded modulation (MLCM) for 16-ary constellations in coherent systems is
studied. An MLCM system with Reed-Solomon component codes and multi-stage decoder is considered. A systematic
numerical method for finding set-partitioning and optimal code rates is presented. The method only requires the
probability density function of received samples and can be applied to any constellation regardless of irregularity or
lack of symmetry. Performance of the designed MLCM system is verified in presence of nonlinear phase noise and normal
phase noise. For nonlinear phase noise limited system, it is shown that the block error rate (BLER) of the system can
be improved using our approach for set-partitioning. For phase noise limited system, both BLER and bit error rate
(BER) are studied for a phase noise optimized and square 16-quadrature amplitude modulation (16QAM). Post
forward-error correction (FEC) BER performance of the optimized constellation over square 16QAM is studied for
different levels of phase noise. It is shown that the optimized constellation along with MLCM system decreases the
required signal-to-noise ratio by several dB at high phase noise regime and low post FEC BER.
© 2013 IEEE
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