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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  2. G. Ungerboeck, "Channel coding with multilevel/phase signals ," IEEE Trans. Inf. Theory IT-28, 55-67 (1982).
  3. U. Wachsmann, R. Fischer, J. Huber, "Multilevel codes: Theoretical concepts and practical design rules," IEEE Trans. Inf. Theory 45, 1361-1391 (1999).
  4. G. Caire, G. Taricco, E. Biglieri, "Bit-interleaved coded modulation," IEEE Trans. Inf. Theory 44, 927-946 (1998 ).
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  6. H. Bülow, G. Thielecke, and F. Buchali, “Optical trellis-coded modulation (oTCM),” presented at the Optical Fiber Commun. Conf., Los Angeles, CA, USA, Feb.x, 2004, paper WM5. .
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  15. I. B. Djordjevic and T. Wang, “On the LDPC-coded modulation for ultra-high-speed optical transport in the presence of phase noise,” presented at the Opt. Fiber Commun., Conf., Anaheim, CA, USA Mar. 2013..
  16. N. Miladinovic and M. Fossorier, “Generalized LDPC codes with Reed-Solomon and BCH codes as component codes for binary channels,” presented at the Global Telecommun. Conf., St. Louis, MO, USA Nov. 2005..
  17. I. B. Djordjevic, L. Xu, and T. Wang, “Multidimensional turbo product and generalized LDPC codes with component RS codes suitable for use in beyond 100 Gb/s optical transmission,” presented at the Telecommun. Modern Satellite, Cable, Broadcast. Serv. Conf., Nis, Serbia, Oct. 2009..
  18. L. Beygi, E. Agrell, P. Johannisson, and M. Karlsson, “A novel multilevel coded modulation scheme for fiber optical channel with nonlinear phase noise,” presented at the Global Telecommun. Conf., Miami, FL, Dec. 2010..
  19. B. Smith, F. Kschischang, "A pragmatic coded modulation scheme for high-spectral-efficiency fiber-optic communications," J. Lightw. Technol. 30, 2047-2053 (2012 ).
  20. T. Pfau, X. Liu, and S. Chandrasekhar, “Optimization of 16-ary quadrature amplitude modulation constellations for phase noise impaired channels,” presented at the Eur. Conf. Opt. Commun., Conf., Geneva, Switzerland, Sep. 2011..
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  22. R. Farhoudi and L. Rusch, “Multi-level coded modulation for phase noise optimized constellations,” presented at the Opt. Fiber Commun. Conf., Anaheim, CA, USA, Mar. 2013..
  23. T. Woerz and J. Hagenauer, “Multistage coding and decoding for a M-PSK system,” presented at the Global Telecommun. Conf., San Diego, CA, USA, Dec. 1990..
  24. L. Beygi, E. Agrell, M. Karlsson, "On the dimensionality of multilevel coded modulation in the high snr regime," IEEE Commun. Lett. 14, 1056-1058 (2010).
  25. A. P. T. Lau, J. M. Kahn, "Signal design and detection in presence of nonlinear phase noise," J. Lightw. Technol. 25, 3008- 3016 (2007).
  26. P. Y. Kam, S. K. Teo, Y. K. Some, T. T. Tjhung, "Approximate results for the bit error probability of binary phase shift keying with noisy phase reference," IEEE Trans. Commun. 41, 1020-1022 (1993).
  27. I. B. Djordjevic, B. Vasic, "Multilevel coding in M-ary DPSK/differential QAM high-speed optical transmission with direct detection," J. Lightw. Technol. 24, 420-428 (2006 ).
  28. R.-J. Essiambre, G. J. Foschini, P. J. Winzer, G. Kramer, and E. C. Burrows, “The capacity of fiber-optic communication systems.” presented at the Optical Fiber Commun., Conf., San Diego, CA, USA, Feb. 2008..

2010 (4)

H. Batshon, I. Djordjevic, T. Schmidt, "Ultra high speed optical transmission using subcarrier-multiplexed four-dimensional ldpc-coded modulation," Opt. Express 18, 20 546 -20 551 (2010).

P. Winzer, "Beyond 100G ethernet," IEEE Commun. Mag. 48, 26-30 (2010).

L. Beygi, E. Agrell, M. Karlsson, "On the dimensionality of multilevel coded modulation in the high snr regime," IEEE Commun. Lett. 14, 1056-1058 (2010).

M. Magarini, R. Essiambre, B. Basch, A. Ashikhmin, G. Kramer, A. de Lind van Wijngaarden, "Concatenated coded modulation for optical communications systems," IEEE Photon. Technol. 22, 1244- 1246 (2010).

2009 (1)

I. Djordjevic, M. Arabaci, L. Minkov, "Next generation FEC for high-capacity communication in optical transport networks," J. Lightw. Technol. 27, 3518- 3530 (2009).

2007 (1)

A. P. T. Lau, J. M. Kahn, "Signal design and detection in presence of nonlinear phase noise," J. Lightw. Technol. 25, 3008- 3016 (2007).

1999 (1)

U. Wachsmann, R. Fischer, J. Huber, "Multilevel codes: Theoretical concepts and practical design rules," IEEE Trans. Inf. Theory 45, 1361-1391 (1999).

1995 (1)

S. Benedetto, G. Olmo, P. Poggiolini, "Trellis coded polarization shift keying modulation for digital optical communications," IEEE Trans. Commun. 43, 1591-1602 (1995).

1993 (1)

P. Y. Kam, S. K. Teo, Y. K. Some, T. T. Tjhung, "Approximate results for the bit error probability of binary phase shift keying with noisy phase reference," IEEE Trans. Commun. 41, 1020-1022 (1993).

1982 (1)

G. Ungerboeck, "Channel coding with multilevel/phase signals ," IEEE Trans. Inf. Theory IT-28, 55-67 (1982).

1977 (1)

H. Imai, S. Hirakawa, "A new multilevel coding method using error-correcting codes," IEEE Trans. Inf. Theory IT-23, 371-377 (1977).

IEEE Commun. Mag. (1)

P. Winzer, "Beyond 100G ethernet," IEEE Commun. Mag. 48, 26-30 (2010).

IEEE Photon. Technol. (1)

M. Magarini, R. Essiambre, B. Basch, A. Ashikhmin, G. Kramer, A. de Lind van Wijngaarden, "Concatenated coded modulation for optical communications systems," IEEE Photon. Technol. 22, 1244- 1246 (2010).

IEEE Trans. Inf. Theory (1)

H. Imai, S. Hirakawa, "A new multilevel coding method using error-correcting codes," IEEE Trans. Inf. Theory IT-23, 371-377 (1977).

IEEE Commun. Lett. (1)

L. Beygi, E. Agrell, M. Karlsson, "On the dimensionality of multilevel coded modulation in the high snr regime," IEEE Commun. Lett. 14, 1056-1058 (2010).

IEEE Trans. Commun. (1)

S. Benedetto, G. Olmo, P. Poggiolini, "Trellis coded polarization shift keying modulation for digital optical communications," IEEE Trans. Commun. 43, 1591-1602 (1995).

IEEE Trans. Commun. (1)

P. Y. Kam, S. K. Teo, Y. K. Some, T. T. Tjhung, "Approximate results for the bit error probability of binary phase shift keying with noisy phase reference," IEEE Trans. Commun. 41, 1020-1022 (1993).

IEEE Trans. Inf. Theory (1)

U. Wachsmann, R. Fischer, J. Huber, "Multilevel codes: Theoretical concepts and practical design rules," IEEE Trans. Inf. Theory 45, 1361-1391 (1999).

IEEE Trans. Inf. Theory (2)

G. Caire, G. Taricco, E. Biglieri, "Bit-interleaved coded modulation," IEEE Trans. Inf. Theory 44, 927-946 (1998 ).

G. Ungerboeck, "Channel coding with multilevel/phase signals ," IEEE Trans. Inf. Theory IT-28, 55-67 (1982).

J. Lightw. Technol. (2)

I. Djordjevic, M. Arabaci, L. Minkov, "Next generation FEC for high-capacity communication in optical transport networks," J. Lightw. Technol. 27, 3518- 3530 (2009).

A. P. T. Lau, J. M. Kahn, "Signal design and detection in presence of nonlinear phase noise," J. Lightw. Technol. 25, 3008- 3016 (2007).

J. Lightw. Technol. (2)

I. B. Djordjevic, B. Vasic, "Multilevel coding in M-ary DPSK/differential QAM high-speed optical transmission with direct detection," J. Lightw. Technol. 24, 420-428 (2006 ).

B. Smith, F. Kschischang, "A pragmatic coded modulation scheme for high-spectral-efficiency fiber-optic communications," J. Lightw. Technol. 30, 2047-2053 (2012 ).

Opt. Express (1)

H. Batshon, I. Djordjevic, T. Schmidt, "Ultra high speed optical transmission using subcarrier-multiplexed four-dimensional ldpc-coded modulation," Opt. Express 18, 20 546 -20 551 (2010).

Other (14)

I. B. Djordjevic and T. Wang, “On the LDPC-coded modulation for ultra-high-speed optical transport in the presence of phase noise,” presented at the Opt. Fiber Commun., Conf., Anaheim, CA, USA Mar. 2013..

N. Miladinovic and M. Fossorier, “Generalized LDPC codes with Reed-Solomon and BCH codes as component codes for binary channels,” presented at the Global Telecommun. Conf., St. Louis, MO, USA Nov. 2005..

I. B. Djordjevic, L. Xu, and T. Wang, “Multidimensional turbo product and generalized LDPC codes with component RS codes suitable for use in beyond 100 Gb/s optical transmission,” presented at the Telecommun. Modern Satellite, Cable, Broadcast. Serv. Conf., Nis, Serbia, Oct. 2009..

L. Beygi, E. Agrell, P. Johannisson, and M. Karlsson, “A novel multilevel coded modulation scheme for fiber optical channel with nonlinear phase noise,” presented at the Global Telecommun. Conf., Miami, FL, Dec. 2010..

T. Pfau, X. Liu, and S. Chandrasekhar, “Optimization of 16-ary quadrature amplitude modulation constellations for phase noise impaired channels,” presented at the Eur. Conf. Opt. Commun., Conf., Geneva, Switzerland, Sep. 2011..

H. Bülow and E. Masalkina, “Coded modulation in optical communications,” presented at the Opt. Fiber Commun. Conf., Los Angeles, CA, USA, Mar. 2011..

S. Lotz, W. Sauer-Greff, and R. Urbansky, “Iterative demapping and decoding for bit-interleaved coded modulation in optical communication systems,” presented at the Conf. Transp. Opt. Netw., Conf., Munich, Germany, Jun. 2010..

H. Bülow, G. Thielecke, and F. Buchali, “Optical trellis-coded modulation (oTCM),” presented at the Optical Fiber Commun. Conf., Los Angeles, CA, USA, Feb.x, 2004, paper WM5. .

P. Faraj, S. Schöllmann, J. Leibrich, W. Rosenkranz, "8.4 dB net coding gain achieved with a serially concatenated coding scheme for differential quadrature phase shift keyed optical systems," Proc. Eur. Conf. Opt. Commun. (2005) pp. 195-196.

H. Zhao, E. Agrell, and M. Karlsson, “Trellis-coded modulation in PSK and DPSK communications,” presented at the Eur. Conf. Opt. Commun., Conf., Cannes, France, Sep. 2006..

T. Sakamoto, A. Chiba, I. Morohashi, and T. Kawanishi, “Optical trellis-coded modulation with multi-parallel MZM.” presented at the Eur. Conf. Opt. Commun. Conf., Vienna, Austria, Sep. 2009..

R.-J. Essiambre, G. J. Foschini, P. J. Winzer, G. Kramer, and E. C. Burrows, “The capacity of fiber-optic communication systems.” presented at the Optical Fiber Commun., Conf., San Diego, CA, USA, Feb. 2008..

R. Farhoudi and L. Rusch, “Multi-level coded modulation for phase noise optimized constellations,” presented at the Opt. Fiber Commun. Conf., Anaheim, CA, USA, Mar. 2013..

T. Woerz and J. Hagenauer, “Multistage coding and decoding for a M-PSK system,” presented at the Global Telecommun. Conf., San Diego, CA, USA, Dec. 1990..

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