Abstract

We experimentally investigate mutual information and generalized mutual information for coherent optical transmission systems. The impact of the assumed channel distribution on the achievable rate is investigated for distributions in up to four dimensions. Single channel and wavelength-division multiplexing (WDM) transmission over transmission links with and without inline dispersion compensation are studied. We show that for conventional WDM systems without inline dispersion compensation, a circularly symmetric complex Gaussian distribution is a good approximation of the channel. For other channels, such as with inline dispersion compensation, this is no longer true and gains in the achievable information rate are obtained by considering more sophisticated four-dimensional (4D) distributions. We also show that for nonlinear channels, gains in the achievable information rate can also be achieved by estimating the mean values of the received constellation in four dimensions. The highest gain for such channels is seen for a 4D correlated Gaussian distribution.

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2015 (4)

A. Alvarado, E. Agrell, D. Lavery, R. Maher, and P. Bayvel, “Replacing the soft-decision FEC limit paradigm in the design of optical communication systems,” J. Lightw. Technol., vol. 33, no. 20, pp. 4338–4352, 2015.

T. Fehenberger, A. Alvarado, P. Bayvel, and N. Hanik, “On achievable rates for long-haul fiber-optic communications,” Opt. Exp., vol. 23, no. 7, pp. 9183–9191, 2015.

A. Alvarado and E. Agrell, “Four-dimensional coded modulation with bit-wise decoders for future optical communications,” J. Lightw. Technol., vol. 33, no. 10, pp. 1993–2003, 2015.

E. Temprana, E. Myslivets, B.-P. Kuo, L. Liu, V. Ataie, N. Alic, and S. Radic, “Overcoming Kerr-induced capacity limit in optical fiber transmission,” Science, vol. 348, no. 6242, pp. 1445–1448, 2015.

2014 (4)

E. Agrell, A. Alvarado, G. Durisi, and M. Karlsson, “Capacity of a nonlinear optical channel with finite memory,” J. Lightw. Technol., vol. 32, no. 16, pp. 2862–2876, 2014.

D. Marsella, M. Secondini, and E. Forestieri, “Maximum likelihood sequence detection for mitigating nonlinear effects,” J. Lightw. Technol., vol. 32, no. 5, pp. 908–916, 2014.

J.-X. Cai, H. G. Batshon, H. Zhang, M. Mazurczyk, O. Sinkin, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “30.4 Tb/s transmission over transpacific distance using 200 Gb/s and dual wavelength 400 Gb/s 16QAM at 6.0 b/s/Hz spectral efficiency,” Opt. Exp., vol. 22, no. 8, pp. 9116–9122, 2014.

K. Igarashi, T. Tsuritani, I. Morita, Y. Tsuchida, K. Maeda, M. Tadakuma, T. Saito, K. Watanabe, K. Imamura, R. Sugizaki, and M. Suzuki, “Super-Nyquist-WDM transmission over 7,326-km seven-core fiber with capacity-distance product of 1.03 Exabit/s · km,” Opt. Exp., vol. 22, no. 2, pp. 1220–1228, 2014.

2013 (2)

D. Qian, M.-F. Huang, S. Zhang, Y. Zhang, Y.-K. Huang, F. Yaman, I. B. Djordjevic, and E. Mateo, “30Tb/s C- and L-bands bidirectional transmission over 10,181 km with 121 km span length,” Opt. Exp., vol. 21, no. 12, pp. 14 244–14 250, 2013.

M. Secondini, E. Forestieri, and G. Prati, “Achievable information rate in nonlinear WDM fiber-optic systems with arbitrary modulation formats and dispersion maps,” J. Lightw. Technol., vol. 31, no. 23, pp. 3839–3852, 2013.

2012 (4)

R. Elschner, F. Frey, C. Meuer, J. K. Fischer, S. Alreesh, C. Schmidt-Langhorst, L. Molle, T. Tanimura, and C. Schubert, “Experimental demonstration of a format-flexible single-carrier coherent receiver using data-aided digital signal processing,” Opt. Exp., vol. 20, no. 27, pp. 28 786–28 791, 2012.

E. Tipsuwannakul, J. Li, T. A. Eriksson, L. Egnell, F. Sjöström, J. Pejnefors, P. A. Andrekson, and M. Karlsson, “Influence of fiber-Bragg grating-onduced group-delay ripple in high-speed transmission systems,” J. Opt. Commun. Netw., vol. 4, no. 6, pp. 514–521, 2012.

R. Essiambre and R. Tkach, “Capacity trends and limits of optical communication networks,” Proc. IEEE, vol. 100, no. 5, pp. 1035–1055, 2012.

H. Zhang, J.-X. Cai, H. G. Batshon, C. R. Davidson, Y. Sun, M. Mazurczyk, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “16QAM transmission with 5.2 bits/s/Hz spectral efficiency over transoceanic distance,” Opt. Exp., vol. 20, no. 11, pp. 11 688–11 693, 2012.

2011 (1)

A. Leven, F. Vacondio, L. Schmalen, S. Brink, and W. Idler, “Estimation of soft FEC performance in optical transmission experiments,” Photon. Technol. Lett., vol. 23, no. 20, pp. 1547–1549, 2011.

2010 (4)

S. Savory, “Digital coherent optical receivers: Algorithms and subsystems,” J. Sel. Topics Quantum Electron., vol. 16, no. 5, pp. 1164–1179, 2010.

H. G. Batshon, I. Djordjevic, and T. Schmidt, “Ultra high speed optical transmission using subcarrier-multiplexed four-dimensional LDPC-coded modulation,” Opt. Exp., vol. 18, no. 19, pp. 20 546–20 551, 2010.

R. Essiambre, G. Kramer, P. Winzer, G. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightw. Technol., vol. 28, no. 4, pp. 662–701, 2010.

R.-J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightw. Technol., vol. 28, no. 4, pp. 662–701, 2010.

2009 (3)

A. Martinez, A. Guillén i Fàbregas, G. Caire, and F. Willems, “Bit-interleaved coded modulation revisited: A mismatched decoding perspective,” IEEE Trans. Inform. Theory, vol. 55, no. 6, pp. 2756–2765, 2009.

T. Pfau, S. Hoffmann, and R. Noé, “Hardware-efficient coherent digital receiver concept with feedforward carrier recovery for $M$-QAM constellations,” J. Lightw. Technol., vol. 27, no. 8, pp. 989–999, 2009.

E. Arıkan, “Channel polarization: A method for constructing capacity-achieving codes for symmetric binary-input memoryless channels,” IEEE Trans. Inform. Theory, vol. 55, no. 7, pp. 3051–3073, 2009.

2008 (1)

E. Ip and J. Kahn, “Compensation of dispersion and nonlinear impairments using digital backpropagation,” J. Lightw. Technol., vol. 26, no. 20, pp. 3416–3425, 2008.

2007 (1)

I. Djordjevic, M. Cvijetic, L. Xu, and T. Wang, “Using LDPC-coded modulation and coherent detection for ultra highspeed optical transmission,” J. Lightw. Technol., vol. 25, no. 11, pp. 3619–3625, 2007.

2006 (1)

D. Arnold, H.-A. Loeliger, P. Vontobel, A. Kavcic, and W. Zeng, “Simulation-based computation of information rates for channels with memory,” IEEE Trans. Inform. Theory, vol. 52, no. 8, pp. 3498–3508, 2006.

2005 (1)

I. B. Djordjevic, B. Vasic, M. Ivkovic, and I. Gabitov, “Achievable information rates for high-speed long-haul optical transmission,” J. Lightw. Technol., vol. 23, no. 11, pp. 3755–3763, 2005.

1998 (1)

G. Caire, G. Taricco, and E. Biglieri, “Bit-interleaved coded modulation,” IEEE Trans. Inform. Theory, vol. 44, no. 3, pp. 927–946, 1998.

1996 (1)

C. Berrou and A. Glavieux, “Near optimum error correcting coding and decoding: Turbo-codes,” IEEE Trans. Commun., vol. 44, no. 10, pp. 1261–1271, 1996.

1994 (1)

S. Verdú and T. Han, “A general formula for channel capacity,” IEEE Trans. Inform. Theory, vol. 40, no. 4, pp. 1147–1157, 1994.

1962 (1)

R. Gallager, “Low-density parity-check codes,” IRE Trans. Inform. Theory, vol. 8, no. 1, pp. 21–28, 1962.

Agrell, E.

A. Alvarado, E. Agrell, D. Lavery, R. Maher, and P. Bayvel, “Replacing the soft-decision FEC limit paradigm in the design of optical communication systems,” J. Lightw. Technol., vol. 33, no. 20, pp. 4338–4352, 2015.

A. Alvarado and E. Agrell, “Four-dimensional coded modulation with bit-wise decoders for future optical communications,” J. Lightw. Technol., vol. 33, no. 10, pp. 1993–2003, 2015.

E. Agrell, A. Alvarado, G. Durisi, and M. Karlsson, “Capacity of a nonlinear optical channel with finite memory,” J. Lightw. Technol., vol. 32, no. 16, pp. 2862–2876, 2014.

T. A. Eriksson, T. Fehenberger, N. Hanik, P. A. Andrekson, M. Karlsson, and E. Agrell, “Four-dimensional estimates of mutual information in coherent optical communication experiments,” presented at the Eur. Conf. Optical Communication, Valencia, Spain, 2015, paper We.4.6.5.

Alic, N.

E. Temprana, E. Myslivets, B.-P. Kuo, L. Liu, V. Ataie, N. Alic, and S. Radic, “Overcoming Kerr-induced capacity limit in optical fiber transmission,” Science, vol. 348, no. 6242, pp. 1445–1448, 2015.

Alreesh, S.

R. Elschner, F. Frey, C. Meuer, J. K. Fischer, S. Alreesh, C. Schmidt-Langhorst, L. Molle, T. Tanimura, and C. Schubert, “Experimental demonstration of a format-flexible single-carrier coherent receiver using data-aided digital signal processing,” Opt. Exp., vol. 20, no. 27, pp. 28 786–28 791, 2012.

Alvarado, A.

A. Alvarado and E. Agrell, “Four-dimensional coded modulation with bit-wise decoders for future optical communications,” J. Lightw. Technol., vol. 33, no. 10, pp. 1993–2003, 2015.

T. Fehenberger, A. Alvarado, P. Bayvel, and N. Hanik, “On achievable rates for long-haul fiber-optic communications,” Opt. Exp., vol. 23, no. 7, pp. 9183–9191, 2015.

A. Alvarado, E. Agrell, D. Lavery, R. Maher, and P. Bayvel, “Replacing the soft-decision FEC limit paradigm in the design of optical communication systems,” J. Lightw. Technol., vol. 33, no. 20, pp. 4338–4352, 2015.

E. Agrell, A. Alvarado, G. Durisi, and M. Karlsson, “Capacity of a nonlinear optical channel with finite memory,” J. Lightw. Technol., vol. 32, no. 16, pp. 2862–2876, 2014.

D. Millar, R. Maher, D. Lavery, T. Koike-Akino, A. Alvarado, M. Paskov, K. Kojima, K. Parsons, B. C. Thomsen, S. J. Savory, and P. Bayvel, “Transceiver-limited high spectral efficiency Nyquist-WDM systems,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th2A.13.

R. Maher, D. Lavery, D. Millar, A. Alvarado, K. Parsons, R. Killey, and P. Bayvel, “Reach enhancement of 100% for a DP-64QAM super-channel using MC-DBP,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th4D.5.

R. Maher, A. Alvarado, D. Lavery, and P. Bayvel, “Modulation order and code rate optimisation for digital coherent transceivers using generalised mutual information,” presented at the Eur. Conf. Optical Communication, Valencia, Spain, 2015, paper Mo.3.3.4.

Andrekson, P. A.

E. Tipsuwannakul, J. Li, T. A. Eriksson, L. Egnell, F. Sjöström, J. Pejnefors, P. A. Andrekson, and M. Karlsson, “Influence of fiber-Bragg grating-onduced group-delay ripple in high-speed transmission systems,” J. Opt. Commun. Netw., vol. 4, no. 6, pp. 514–521, 2012.

T. A. Eriksson, T. Fehenberger, N. Hanik, P. A. Andrekson, M. Karlsson, and E. Agrell, “Four-dimensional estimates of mutual information in coherent optical communication experiments,” presented at the Eur. Conf. Optical Communication, Valencia, Spain, 2015, paper We.4.6.5.

Arikan, E.

E. Arıkan, “Channel polarization: A method for constructing capacity-achieving codes for symmetric binary-input memoryless channels,” IEEE Trans. Inform. Theory, vol. 55, no. 7, pp. 3051–3073, 2009.

Arnold, D.

D. Arnold, H.-A. Loeliger, P. Vontobel, A. Kavcic, and W. Zeng, “Simulation-based computation of information rates for channels with memory,” IEEE Trans. Inform. Theory, vol. 52, no. 8, pp. 3498–3508, 2006.

Ataie, V.

E. Temprana, E. Myslivets, B.-P. Kuo, L. Liu, V. Ataie, N. Alic, and S. Radic, “Overcoming Kerr-induced capacity limit in optical fiber transmission,” Science, vol. 348, no. 6242, pp. 1445–1448, 2015.

Batshon, H. G.

J.-X. Cai, H. G. Batshon, H. Zhang, M. Mazurczyk, O. Sinkin, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “30.4 Tb/s transmission over transpacific distance using 200 Gb/s and dual wavelength 400 Gb/s 16QAM at 6.0 b/s/Hz spectral efficiency,” Opt. Exp., vol. 22, no. 8, pp. 9116–9122, 2014.

H. Zhang, J.-X. Cai, H. G. Batshon, C. R. Davidson, Y. Sun, M. Mazurczyk, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “16QAM transmission with 5.2 bits/s/Hz spectral efficiency over transoceanic distance,” Opt. Exp., vol. 20, no. 11, pp. 11 688–11 693, 2012.

H. G. Batshon, I. Djordjevic, and T. Schmidt, “Ultra high speed optical transmission using subcarrier-multiplexed four-dimensional LDPC-coded modulation,” Opt. Exp., vol. 18, no. 19, pp. 20 546–20 551, 2010.

Bayvel, P.

A. Alvarado, E. Agrell, D. Lavery, R. Maher, and P. Bayvel, “Replacing the soft-decision FEC limit paradigm in the design of optical communication systems,” J. Lightw. Technol., vol. 33, no. 20, pp. 4338–4352, 2015.

T. Fehenberger, A. Alvarado, P. Bayvel, and N. Hanik, “On achievable rates for long-haul fiber-optic communications,” Opt. Exp., vol. 23, no. 7, pp. 9183–9191, 2015.

D. Millar, R. Maher, D. Lavery, T. Koike-Akino, A. Alvarado, M. Paskov, K. Kojima, K. Parsons, B. C. Thomsen, S. J. Savory, and P. Bayvel, “Transceiver-limited high spectral efficiency Nyquist-WDM systems,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th2A.13.

R. Maher, A. Alvarado, D. Lavery, and P. Bayvel, “Modulation order and code rate optimisation for digital coherent transceivers using generalised mutual information,” presented at the Eur. Conf. Optical Communication, Valencia, Spain, 2015, paper Mo.3.3.4.

R. Maher, D. Lavery, D. Millar, A. Alvarado, K. Parsons, R. Killey, and P. Bayvel, “Reach enhancement of 100% for a DP-64QAM super-channel using MC-DBP,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th4D.5.

Bergano, N. S.

J.-X. Cai, H. G. Batshon, H. Zhang, M. Mazurczyk, O. Sinkin, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “30.4 Tb/s transmission over transpacific distance using 200 Gb/s and dual wavelength 400 Gb/s 16QAM at 6.0 b/s/Hz spectral efficiency,” Opt. Exp., vol. 22, no. 8, pp. 9116–9122, 2014.

H. Zhang, J.-X. Cai, H. G. Batshon, C. R. Davidson, Y. Sun, M. Mazurczyk, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “16QAM transmission with 5.2 bits/s/Hz spectral efficiency over transoceanic distance,” Opt. Exp., vol. 20, no. 11, pp. 11 688–11 693, 2012.

Berrou, C.

C. Berrou and A. Glavieux, “Near optimum error correcting coding and decoding: Turbo-codes,” IEEE Trans. Commun., vol. 44, no. 10, pp. 1261–1271, 1996.

Biglieri, E.

G. Caire, G. Taricco, and E. Biglieri, “Bit-interleaved coded modulation,” IEEE Trans. Inform. Theory, vol. 44, no. 3, pp. 927–946, 1998.

Bosco, G.

P. Poggiolini, Y. Jiang, A. Carena, G. Bosco, and F. Forghieri, “Analytical results on system maximum reach increase through symbol rate optimization,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th3D.6.

Brink, S.

A. Leven, F. Vacondio, L. Schmalen, S. Brink, and W. Idler, “Estimation of soft FEC performance in optical transmission experiments,” Photon. Technol. Lett., vol. 23, no. 20, pp. 1547–1549, 2011.

Bülow, H.

H. Bülow and E. Masalkina, “Coded modulation in optical communications,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2011, paper OThO1.

Cai, J.-X.

J.-X. Cai, H. G. Batshon, H. Zhang, M. Mazurczyk, O. Sinkin, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “30.4 Tb/s transmission over transpacific distance using 200 Gb/s and dual wavelength 400 Gb/s 16QAM at 6.0 b/s/Hz spectral efficiency,” Opt. Exp., vol. 22, no. 8, pp. 9116–9122, 2014.

H. Zhang, J.-X. Cai, H. G. Batshon, C. R. Davidson, Y. Sun, M. Mazurczyk, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “16QAM transmission with 5.2 bits/s/Hz spectral efficiency over transoceanic distance,” Opt. Exp., vol. 20, no. 11, pp. 11 688–11 693, 2012.

Caire, G.

A. Martinez, A. Guillén i Fàbregas, G. Caire, and F. Willems, “Bit-interleaved coded modulation revisited: A mismatched decoding perspective,” IEEE Trans. Inform. Theory, vol. 55, no. 6, pp. 2756–2765, 2009.

G. Caire, G. Taricco, and E. Biglieri, “Bit-interleaved coded modulation,” IEEE Trans. Inform. Theory, vol. 44, no. 3, pp. 927–946, 1998.

Carena, A.

P. Poggiolini, Y. Jiang, A. Carena, G. Bosco, and F. Forghieri, “Analytical results on system maximum reach increase through symbol rate optimization,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th3D.6.

Charlet, G.

A. Carbo Meseguer, J. Renaudier, R. Rios-Müller, P. Tran, and G. Charlet, “Impact of bandwidth efficiency in nonlinear tolerance of multicarrier modulations,” J. Lightw. Technol., 2015, to be published.

Cvijetic, M.

I. Djordjevic, M. Cvijetic, L. Xu, and T. Wang, “Using LDPC-coded modulation and coherent detection for ultra highspeed optical transmission,” J. Lightw. Technol., vol. 25, no. 11, pp. 3619–3625, 2007.

Davidson, C. R.

H. Zhang, J.-X. Cai, H. G. Batshon, C. R. Davidson, Y. Sun, M. Mazurczyk, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “16QAM transmission with 5.2 bits/s/Hz spectral efficiency over transoceanic distance,” Opt. Exp., vol. 20, no. 11, pp. 11 688–11 693, 2012.

Djordjevic, I.

H. G. Batshon, I. Djordjevic, and T. Schmidt, “Ultra high speed optical transmission using subcarrier-multiplexed four-dimensional LDPC-coded modulation,” Opt. Exp., vol. 18, no. 19, pp. 20 546–20 551, 2010.

I. Djordjevic, M. Cvijetic, L. Xu, and T. Wang, “Using LDPC-coded modulation and coherent detection for ultra highspeed optical transmission,” J. Lightw. Technol., vol. 25, no. 11, pp. 3619–3625, 2007.

Djordjevic, I. B.

D. Qian, M.-F. Huang, S. Zhang, Y. Zhang, Y.-K. Huang, F. Yaman, I. B. Djordjevic, and E. Mateo, “30Tb/s C- and L-bands bidirectional transmission over 10,181 km with 121 km span length,” Opt. Exp., vol. 21, no. 12, pp. 14 244–14 250, 2013.

I. B. Djordjevic, B. Vasic, M. Ivkovic, and I. Gabitov, “Achievable information rates for high-speed long-haul optical transmission,” J. Lightw. Technol., vol. 23, no. 11, pp. 3755–3763, 2005.

Durisi, G.

E. Agrell, A. Alvarado, G. Durisi, and M. Karlsson, “Capacity of a nonlinear optical channel with finite memory,” J. Lightw. Technol., vol. 32, no. 16, pp. 2862–2876, 2014.

Egnell, L.

Elschner, R.

R. Elschner, F. Frey, C. Meuer, J. K. Fischer, S. Alreesh, C. Schmidt-Langhorst, L. Molle, T. Tanimura, and C. Schubert, “Experimental demonstration of a format-flexible single-carrier coherent receiver using data-aided digital signal processing,” Opt. Exp., vol. 20, no. 27, pp. 28 786–28 791, 2012.

Eriksson, T. A.

E. Tipsuwannakul, J. Li, T. A. Eriksson, L. Egnell, F. Sjöström, J. Pejnefors, P. A. Andrekson, and M. Karlsson, “Influence of fiber-Bragg grating-onduced group-delay ripple in high-speed transmission systems,” J. Opt. Commun. Netw., vol. 4, no. 6, pp. 514–521, 2012.

T. Fehenberger, N. Hanik, T. A. Eriksson, P. Johannisson, and M. Karlsson, “On the impact of carrier phase estimation onphase correlations in coherent fiber transmission,” presented at the Tyrrhenian Int. Workshop Digital Communications, Florence, Italy, 2015, paper P3.2.

T. A. Eriksson, T. Fehenberger, N. Hanik, P. A. Andrekson, M. Karlsson, and E. Agrell, “Four-dimensional estimates of mutual information in coherent optical communication experiments,” presented at the Eur. Conf. Optical Communication, Valencia, Spain, 2015, paper We.4.6.5.

Essiambre, R.

R. Essiambre and R. Tkach, “Capacity trends and limits of optical communication networks,” Proc. IEEE, vol. 100, no. 5, pp. 1035–1055, 2012.

R. Essiambre, G. Kramer, P. Winzer, G. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightw. Technol., vol. 28, no. 4, pp. 662–701, 2010.

Essiambre, R.-J.

R.-J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightw. Technol., vol. 28, no. 4, pp. 662–701, 2010.

Fàbregas, A. Guillén i

A. Martinez, A. Guillén i Fàbregas, G. Caire, and F. Willems, “Bit-interleaved coded modulation revisited: A mismatched decoding perspective,” IEEE Trans. Inform. Theory, vol. 55, no. 6, pp. 2756–2765, 2009.

Fehenberger, T.

T. Fehenberger, A. Alvarado, P. Bayvel, and N. Hanik, “On achievable rates for long-haul fiber-optic communications,” Opt. Exp., vol. 23, no. 7, pp. 9183–9191, 2015.

T. A. Eriksson, T. Fehenberger, N. Hanik, P. A. Andrekson, M. Karlsson, and E. Agrell, “Four-dimensional estimates of mutual information in coherent optical communication experiments,” presented at the Eur. Conf. Optical Communication, Valencia, Spain, 2015, paper We.4.6.5.

T. Fehenberger, N. Hanik, T. A. Eriksson, P. Johannisson, and M. Karlsson, “On the impact of carrier phase estimation onphase correlations in coherent fiber transmission,” presented at the Tyrrhenian Int. Workshop Digital Communications, Florence, Italy, 2015, paper P3.2.

T. Fehenberger and N. Hanik, “Digital back-propagation of a superchannel: Achievable rates and adaption of the GN model,” presented at the Eur. Conf. Optical Communication, Cannes, France, 2014, paper We.3.3.6.

Fischer, J. K.

R. Elschner, F. Frey, C. Meuer, J. K. Fischer, S. Alreesh, C. Schmidt-Langhorst, L. Molle, T. Tanimura, and C. Schubert, “Experimental demonstration of a format-flexible single-carrier coherent receiver using data-aided digital signal processing,” Opt. Exp., vol. 20, no. 27, pp. 28 786–28 791, 2012.

Forestieri, E.

D. Marsella, M. Secondini, and E. Forestieri, “Maximum likelihood sequence detection for mitigating nonlinear effects,” J. Lightw. Technol., vol. 32, no. 5, pp. 908–916, 2014.

M. Secondini, E. Forestieri, and G. Prati, “Achievable information rate in nonlinear WDM fiber-optic systems with arbitrary modulation formats and dispersion maps,” J. Lightw. Technol., vol. 31, no. 23, pp. 3839–3852, 2013.

Forghieri, F.

P. Poggiolini, Y. Jiang, A. Carena, G. Bosco, and F. Forghieri, “Analytical results on system maximum reach increase through symbol rate optimization,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th3D.6.

Foschini, G.

R. Essiambre, G. Kramer, P. Winzer, G. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightw. Technol., vol. 28, no. 4, pp. 662–701, 2010.

Foschini, G. J.

R.-J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightw. Technol., vol. 28, no. 4, pp. 662–701, 2010.

Foursa, D. G.

J.-X. Cai, H. G. Batshon, H. Zhang, M. Mazurczyk, O. Sinkin, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “30.4 Tb/s transmission over transpacific distance using 200 Gb/s and dual wavelength 400 Gb/s 16QAM at 6.0 b/s/Hz spectral efficiency,” Opt. Exp., vol. 22, no. 8, pp. 9116–9122, 2014.

H. Zhang, J.-X. Cai, H. G. Batshon, C. R. Davidson, Y. Sun, M. Mazurczyk, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “16QAM transmission with 5.2 bits/s/Hz spectral efficiency over transoceanic distance,” Opt. Exp., vol. 20, no. 11, pp. 11 688–11 693, 2012.

Frey, F.

R. Elschner, F. Frey, C. Meuer, J. K. Fischer, S. Alreesh, C. Schmidt-Langhorst, L. Molle, T. Tanimura, and C. Schubert, “Experimental demonstration of a format-flexible single-carrier coherent receiver using data-aided digital signal processing,” Opt. Exp., vol. 20, no. 27, pp. 28 786–28 791, 2012.

Gabitov, I.

I. B. Djordjevic, B. Vasic, M. Ivkovic, and I. Gabitov, “Achievable information rates for high-speed long-haul optical transmission,” J. Lightw. Technol., vol. 23, no. 11, pp. 3755–3763, 2005.

Gallager, R.

R. Gallager, “Low-density parity-check codes,” IRE Trans. Inform. Theory, vol. 8, no. 1, pp. 21–28, 1962.

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C. Berrou and A. Glavieux, “Near optimum error correcting coding and decoding: Turbo-codes,” IEEE Trans. Commun., vol. 44, no. 10, pp. 1261–1271, 1996.

Goebel, B.

R. Essiambre, G. Kramer, P. Winzer, G. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightw. Technol., vol. 28, no. 4, pp. 662–701, 2010.

R.-J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightw. Technol., vol. 28, no. 4, pp. 662–701, 2010.

Han, T.

S. Verdú and T. Han, “A general formula for channel capacity,” IEEE Trans. Inform. Theory, vol. 40, no. 4, pp. 1147–1157, 1994.

Hanik, N.

T. Fehenberger, A. Alvarado, P. Bayvel, and N. Hanik, “On achievable rates for long-haul fiber-optic communications,” Opt. Exp., vol. 23, no. 7, pp. 9183–9191, 2015.

T. A. Eriksson, T. Fehenberger, N. Hanik, P. A. Andrekson, M. Karlsson, and E. Agrell, “Four-dimensional estimates of mutual information in coherent optical communication experiments,” presented at the Eur. Conf. Optical Communication, Valencia, Spain, 2015, paper We.4.6.5.

T. Fehenberger, N. Hanik, T. A. Eriksson, P. Johannisson, and M. Karlsson, “On the impact of carrier phase estimation onphase correlations in coherent fiber transmission,” presented at the Tyrrhenian Int. Workshop Digital Communications, Florence, Italy, 2015, paper P3.2.

T. Fehenberger and N. Hanik, “Digital back-propagation of a superchannel: Achievable rates and adaption of the GN model,” presented at the Eur. Conf. Optical Communication, Cannes, France, 2014, paper We.3.3.6.

Hoffmann, S.

T. Pfau, S. Hoffmann, and R. Noé, “Hardware-efficient coherent digital receiver concept with feedforward carrier recovery for $M$-QAM constellations,” J. Lightw. Technol., vol. 27, no. 8, pp. 989–999, 2009.

Huang, M.-F.

D. Qian, M.-F. Huang, S. Zhang, Y. Zhang, Y.-K. Huang, F. Yaman, I. B. Djordjevic, and E. Mateo, “30Tb/s C- and L-bands bidirectional transmission over 10,181 km with 121 km span length,” Opt. Exp., vol. 21, no. 12, pp. 14 244–14 250, 2013.

Huang, Y.-K.

D. Qian, M.-F. Huang, S. Zhang, Y. Zhang, Y.-K. Huang, F. Yaman, I. B. Djordjevic, and E. Mateo, “30Tb/s C- and L-bands bidirectional transmission over 10,181 km with 121 km span length,” Opt. Exp., vol. 21, no. 12, pp. 14 244–14 250, 2013.

Idler, W.

A. Leven, F. Vacondio, L. Schmalen, S. Brink, and W. Idler, “Estimation of soft FEC performance in optical transmission experiments,” Photon. Technol. Lett., vol. 23, no. 20, pp. 1547–1549, 2011.

Igarashi, K.

K. Igarashi, T. Tsuritani, I. Morita, Y. Tsuchida, K. Maeda, M. Tadakuma, T. Saito, K. Watanabe, K. Imamura, R. Sugizaki, and M. Suzuki, “Super-Nyquist-WDM transmission over 7,326-km seven-core fiber with capacity-distance product of 1.03 Exabit/s · km,” Opt. Exp., vol. 22, no. 2, pp. 1220–1228, 2014.

Imamura, K.

K. Igarashi, T. Tsuritani, I. Morita, Y. Tsuchida, K. Maeda, M. Tadakuma, T. Saito, K. Watanabe, K. Imamura, R. Sugizaki, and M. Suzuki, “Super-Nyquist-WDM transmission over 7,326-km seven-core fiber with capacity-distance product of 1.03 Exabit/s · km,” Opt. Exp., vol. 22, no. 2, pp. 1220–1228, 2014.

Ip, E.

E. Ip and J. Kahn, “Compensation of dispersion and nonlinear impairments using digital backpropagation,” J. Lightw. Technol., vol. 26, no. 20, pp. 3416–3425, 2008.

Ivkovic, M.

I. B. Djordjevic, B. Vasic, M. Ivkovic, and I. Gabitov, “Achievable information rates for high-speed long-haul optical transmission,” J. Lightw. Technol., vol. 23, no. 11, pp. 3755–3763, 2005.

Jiang, Y.

P. Poggiolini, Y. Jiang, A. Carena, G. Bosco, and F. Forghieri, “Analytical results on system maximum reach increase through symbol rate optimization,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th3D.6.

Johannisson, P.

T. Fehenberger, N. Hanik, T. A. Eriksson, P. Johannisson, and M. Karlsson, “On the impact of carrier phase estimation onphase correlations in coherent fiber transmission,” presented at the Tyrrhenian Int. Workshop Digital Communications, Florence, Italy, 2015, paper P3.2.

Kahn, J.

E. Ip and J. Kahn, “Compensation of dispersion and nonlinear impairments using digital backpropagation,” J. Lightw. Technol., vol. 26, no. 20, pp. 3416–3425, 2008.

Karlsson, M.

E. Agrell, A. Alvarado, G. Durisi, and M. Karlsson, “Capacity of a nonlinear optical channel with finite memory,” J. Lightw. Technol., vol. 32, no. 16, pp. 2862–2876, 2014.

E. Tipsuwannakul, J. Li, T. A. Eriksson, L. Egnell, F. Sjöström, J. Pejnefors, P. A. Andrekson, and M. Karlsson, “Influence of fiber-Bragg grating-onduced group-delay ripple in high-speed transmission systems,” J. Opt. Commun. Netw., vol. 4, no. 6, pp. 514–521, 2012.

T. Fehenberger, N. Hanik, T. A. Eriksson, P. Johannisson, and M. Karlsson, “On the impact of carrier phase estimation onphase correlations in coherent fiber transmission,” presented at the Tyrrhenian Int. Workshop Digital Communications, Florence, Italy, 2015, paper P3.2.

T. A. Eriksson, T. Fehenberger, N. Hanik, P. A. Andrekson, M. Karlsson, and E. Agrell, “Four-dimensional estimates of mutual information in coherent optical communication experiments,” presented at the Eur. Conf. Optical Communication, Valencia, Spain, 2015, paper We.4.6.5.

Kavcic, A.

D. Arnold, H.-A. Loeliger, P. Vontobel, A. Kavcic, and W. Zeng, “Simulation-based computation of information rates for channels with memory,” IEEE Trans. Inform. Theory, vol. 52, no. 8, pp. 3498–3508, 2006.

Killey, R.

R. Maher, D. Lavery, D. Millar, A. Alvarado, K. Parsons, R. Killey, and P. Bayvel, “Reach enhancement of 100% for a DP-64QAM super-channel using MC-DBP,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th4D.5.

Koike-Akino, T.

D. Millar, R. Maher, D. Lavery, T. Koike-Akino, A. Alvarado, M. Paskov, K. Kojima, K. Parsons, B. C. Thomsen, S. J. Savory, and P. Bayvel, “Transceiver-limited high spectral efficiency Nyquist-WDM systems,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th2A.13.

Kojima, K.

D. Millar, R. Maher, D. Lavery, T. Koike-Akino, A. Alvarado, M. Paskov, K. Kojima, K. Parsons, B. C. Thomsen, S. J. Savory, and P. Bayvel, “Transceiver-limited high spectral efficiency Nyquist-WDM systems,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th2A.13.

Kramer, G.

R.-J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightw. Technol., vol. 28, no. 4, pp. 662–701, 2010.

R. Essiambre, G. Kramer, P. Winzer, G. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightw. Technol., vol. 28, no. 4, pp. 662–701, 2010.

G. Kramer, M. Yousefi, and F. Kschischang, “Upper bound on the capacity of a cascade of nonlinear and noisy channels,” presented at the Information Theory Workshop, Jerusalem, Israel, 2015.

Kschischang, F.

G. Kramer, M. Yousefi, and F. Kschischang, “Upper bound on the capacity of a cascade of nonlinear and noisy channels,” presented at the Information Theory Workshop, Jerusalem, Israel, 2015.

Kuo, B.-P.

E. Temprana, E. Myslivets, B.-P. Kuo, L. Liu, V. Ataie, N. Alic, and S. Radic, “Overcoming Kerr-induced capacity limit in optical fiber transmission,” Science, vol. 348, no. 6242, pp. 1445–1448, 2015.

Lavery, D.

A. Alvarado, E. Agrell, D. Lavery, R. Maher, and P. Bayvel, “Replacing the soft-decision FEC limit paradigm in the design of optical communication systems,” J. Lightw. Technol., vol. 33, no. 20, pp. 4338–4352, 2015.

D. Millar, R. Maher, D. Lavery, T. Koike-Akino, A. Alvarado, M. Paskov, K. Kojima, K. Parsons, B. C. Thomsen, S. J. Savory, and P. Bayvel, “Transceiver-limited high spectral efficiency Nyquist-WDM systems,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th2A.13.

R. Maher, D. Lavery, D. Millar, A. Alvarado, K. Parsons, R. Killey, and P. Bayvel, “Reach enhancement of 100% for a DP-64QAM super-channel using MC-DBP,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th4D.5.

R. Maher, A. Alvarado, D. Lavery, and P. Bayvel, “Modulation order and code rate optimisation for digital coherent transceivers using generalised mutual information,” presented at the Eur. Conf. Optical Communication, Valencia, Spain, 2015, paper Mo.3.3.4.

Leven, A.

A. Leven, F. Vacondio, L. Schmalen, S. Brink, and W. Idler, “Estimation of soft FEC performance in optical transmission experiments,” Photon. Technol. Lett., vol. 23, no. 20, pp. 1547–1549, 2011.

Li, J.

Liu, L.

E. Temprana, E. Myslivets, B.-P. Kuo, L. Liu, V. Ataie, N. Alic, and S. Radic, “Overcoming Kerr-induced capacity limit in optical fiber transmission,” Science, vol. 348, no. 6242, pp. 1445–1448, 2015.

Loeliger, H.-A.

D. Arnold, H.-A. Loeliger, P. Vontobel, A. Kavcic, and W. Zeng, “Simulation-based computation of information rates for channels with memory,” IEEE Trans. Inform. Theory, vol. 52, no. 8, pp. 3498–3508, 2006.

Maeda, K.

K. Igarashi, T. Tsuritani, I. Morita, Y. Tsuchida, K. Maeda, M. Tadakuma, T. Saito, K. Watanabe, K. Imamura, R. Sugizaki, and M. Suzuki, “Super-Nyquist-WDM transmission over 7,326-km seven-core fiber with capacity-distance product of 1.03 Exabit/s · km,” Opt. Exp., vol. 22, no. 2, pp. 1220–1228, 2014.

Maher, R.

A. Alvarado, E. Agrell, D. Lavery, R. Maher, and P. Bayvel, “Replacing the soft-decision FEC limit paradigm in the design of optical communication systems,” J. Lightw. Technol., vol. 33, no. 20, pp. 4338–4352, 2015.

R. Maher, A. Alvarado, D. Lavery, and P. Bayvel, “Modulation order and code rate optimisation for digital coherent transceivers using generalised mutual information,” presented at the Eur. Conf. Optical Communication, Valencia, Spain, 2015, paper Mo.3.3.4.

R. Maher, D. Lavery, D. Millar, A. Alvarado, K. Parsons, R. Killey, and P. Bayvel, “Reach enhancement of 100% for a DP-64QAM super-channel using MC-DBP,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th4D.5.

D. Millar, R. Maher, D. Lavery, T. Koike-Akino, A. Alvarado, M. Paskov, K. Kojima, K. Parsons, B. C. Thomsen, S. J. Savory, and P. Bayvel, “Transceiver-limited high spectral efficiency Nyquist-WDM systems,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th2A.13.

Marsella, D.

D. Marsella, M. Secondini, and E. Forestieri, “Maximum likelihood sequence detection for mitigating nonlinear effects,” J. Lightw. Technol., vol. 32, no. 5, pp. 908–916, 2014.

Martinez, A.

A. Martinez, A. Guillén i Fàbregas, G. Caire, and F. Willems, “Bit-interleaved coded modulation revisited: A mismatched decoding perspective,” IEEE Trans. Inform. Theory, vol. 55, no. 6, pp. 2756–2765, 2009.

Masalkina, E.

H. Bülow and E. Masalkina, “Coded modulation in optical communications,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2011, paper OThO1.

Mateo, E.

D. Qian, M.-F. Huang, S. Zhang, Y. Zhang, Y.-K. Huang, F. Yaman, I. B. Djordjevic, and E. Mateo, “30Tb/s C- and L-bands bidirectional transmission over 10,181 km with 121 km span length,” Opt. Exp., vol. 21, no. 12, pp. 14 244–14 250, 2013.

Mazurczyk, M.

J.-X. Cai, H. G. Batshon, H. Zhang, M. Mazurczyk, O. Sinkin, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “30.4 Tb/s transmission over transpacific distance using 200 Gb/s and dual wavelength 400 Gb/s 16QAM at 6.0 b/s/Hz spectral efficiency,” Opt. Exp., vol. 22, no. 8, pp. 9116–9122, 2014.

H. Zhang, J.-X. Cai, H. G. Batshon, C. R. Davidson, Y. Sun, M. Mazurczyk, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “16QAM transmission with 5.2 bits/s/Hz spectral efficiency over transoceanic distance,” Opt. Exp., vol. 20, no. 11, pp. 11 688–11 693, 2012.

Meseguer, A. Carbo

A. Carbo Meseguer, J. Renaudier, R. Rios-Müller, P. Tran, and G. Charlet, “Impact of bandwidth efficiency in nonlinear tolerance of multicarrier modulations,” J. Lightw. Technol., 2015, to be published.

Meuer, C.

R. Elschner, F. Frey, C. Meuer, J. K. Fischer, S. Alreesh, C. Schmidt-Langhorst, L. Molle, T. Tanimura, and C. Schubert, “Experimental demonstration of a format-flexible single-carrier coherent receiver using data-aided digital signal processing,” Opt. Exp., vol. 20, no. 27, pp. 28 786–28 791, 2012.

Millar, D.

D. Millar, R. Maher, D. Lavery, T. Koike-Akino, A. Alvarado, M. Paskov, K. Kojima, K. Parsons, B. C. Thomsen, S. J. Savory, and P. Bayvel, “Transceiver-limited high spectral efficiency Nyquist-WDM systems,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th2A.13.

R. Maher, D. Lavery, D. Millar, A. Alvarado, K. Parsons, R. Killey, and P. Bayvel, “Reach enhancement of 100% for a DP-64QAM super-channel using MC-DBP,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th4D.5.

Mizuochi, T.

T. Mizuochi, “Next Generation FEC for Optical Communication,” presented at the Optical Fiber Communication Conf., San Diego, CA, USA, 2008, paper OTuE5.

Mohs, G.

J.-X. Cai, H. G. Batshon, H. Zhang, M. Mazurczyk, O. Sinkin, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “30.4 Tb/s transmission over transpacific distance using 200 Gb/s and dual wavelength 400 Gb/s 16QAM at 6.0 b/s/Hz spectral efficiency,” Opt. Exp., vol. 22, no. 8, pp. 9116–9122, 2014.

H. Zhang, J.-X. Cai, H. G. Batshon, C. R. Davidson, Y. Sun, M. Mazurczyk, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “16QAM transmission with 5.2 bits/s/Hz spectral efficiency over transoceanic distance,” Opt. Exp., vol. 20, no. 11, pp. 11 688–11 693, 2012.

Molle, L.

R. Elschner, F. Frey, C. Meuer, J. K. Fischer, S. Alreesh, C. Schmidt-Langhorst, L. Molle, T. Tanimura, and C. Schubert, “Experimental demonstration of a format-flexible single-carrier coherent receiver using data-aided digital signal processing,” Opt. Exp., vol. 20, no. 27, pp. 28 786–28 791, 2012.

Morita, I.

K. Igarashi, T. Tsuritani, I. Morita, Y. Tsuchida, K. Maeda, M. Tadakuma, T. Saito, K. Watanabe, K. Imamura, R. Sugizaki, and M. Suzuki, “Super-Nyquist-WDM transmission over 7,326-km seven-core fiber with capacity-distance product of 1.03 Exabit/s · km,” Opt. Exp., vol. 22, no. 2, pp. 1220–1228, 2014.

Myslivets, E.

E. Temprana, E. Myslivets, B.-P. Kuo, L. Liu, V. Ataie, N. Alic, and S. Radic, “Overcoming Kerr-induced capacity limit in optical fiber transmission,” Science, vol. 348, no. 6242, pp. 1445–1448, 2015.

Noé, R.

T. Pfau, S. Hoffmann, and R. Noé, “Hardware-efficient coherent digital receiver concept with feedforward carrier recovery for $M$-QAM constellations,” J. Lightw. Technol., vol. 27, no. 8, pp. 989–999, 2009.

Parsons, K.

D. Millar, R. Maher, D. Lavery, T. Koike-Akino, A. Alvarado, M. Paskov, K. Kojima, K. Parsons, B. C. Thomsen, S. J. Savory, and P. Bayvel, “Transceiver-limited high spectral efficiency Nyquist-WDM systems,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th2A.13.

R. Maher, D. Lavery, D. Millar, A. Alvarado, K. Parsons, R. Killey, and P. Bayvel, “Reach enhancement of 100% for a DP-64QAM super-channel using MC-DBP,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th4D.5.

Paskov, M.

D. Millar, R. Maher, D. Lavery, T. Koike-Akino, A. Alvarado, M. Paskov, K. Kojima, K. Parsons, B. C. Thomsen, S. J. Savory, and P. Bayvel, “Transceiver-limited high spectral efficiency Nyquist-WDM systems,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th2A.13.

Pejnefors, J.

Pfau, T.

T. Pfau, S. Hoffmann, and R. Noé, “Hardware-efficient coherent digital receiver concept with feedforward carrier recovery for $M$-QAM constellations,” J. Lightw. Technol., vol. 27, no. 8, pp. 989–999, 2009.

Pilipetskii, A.

J.-X. Cai, H. G. Batshon, H. Zhang, M. Mazurczyk, O. Sinkin, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “30.4 Tb/s transmission over transpacific distance using 200 Gb/s and dual wavelength 400 Gb/s 16QAM at 6.0 b/s/Hz spectral efficiency,” Opt. Exp., vol. 22, no. 8, pp. 9116–9122, 2014.

H. Zhang, J.-X. Cai, H. G. Batshon, C. R. Davidson, Y. Sun, M. Mazurczyk, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “16QAM transmission with 5.2 bits/s/Hz spectral efficiency over transoceanic distance,” Opt. Exp., vol. 20, no. 11, pp. 11 688–11 693, 2012.

Poggiolini, P.

P. Poggiolini, Y. Jiang, A. Carena, G. Bosco, and F. Forghieri, “Analytical results on system maximum reach increase through symbol rate optimization,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th3D.6.

Prati, G.

M. Secondini, E. Forestieri, and G. Prati, “Achievable information rate in nonlinear WDM fiber-optic systems with arbitrary modulation formats and dispersion maps,” J. Lightw. Technol., vol. 31, no. 23, pp. 3839–3852, 2013.

Qian, D.

D. Qian, M.-F. Huang, S. Zhang, Y. Zhang, Y.-K. Huang, F. Yaman, I. B. Djordjevic, and E. Mateo, “30Tb/s C- and L-bands bidirectional transmission over 10,181 km with 121 km span length,” Opt. Exp., vol. 21, no. 12, pp. 14 244–14 250, 2013.

Radic, S.

E. Temprana, E. Myslivets, B.-P. Kuo, L. Liu, V. Ataie, N. Alic, and S. Radic, “Overcoming Kerr-induced capacity limit in optical fiber transmission,” Science, vol. 348, no. 6242, pp. 1445–1448, 2015.

Renaudier, J.

A. Carbo Meseguer, J. Renaudier, R. Rios-Müller, P. Tran, and G. Charlet, “Impact of bandwidth efficiency in nonlinear tolerance of multicarrier modulations,” J. Lightw. Technol., 2015, to be published.

Rios-Müller, R.

A. Carbo Meseguer, J. Renaudier, R. Rios-Müller, P. Tran, and G. Charlet, “Impact of bandwidth efficiency in nonlinear tolerance of multicarrier modulations,” J. Lightw. Technol., 2015, to be published.

Saito, T.

K. Igarashi, T. Tsuritani, I. Morita, Y. Tsuchida, K. Maeda, M. Tadakuma, T. Saito, K. Watanabe, K. Imamura, R. Sugizaki, and M. Suzuki, “Super-Nyquist-WDM transmission over 7,326-km seven-core fiber with capacity-distance product of 1.03 Exabit/s · km,” Opt. Exp., vol. 22, no. 2, pp. 1220–1228, 2014.

Savory, S.

S. Savory, “Digital coherent optical receivers: Algorithms and subsystems,” J. Sel. Topics Quantum Electron., vol. 16, no. 5, pp. 1164–1179, 2010.

Savory, S. J.

D. Millar, R. Maher, D. Lavery, T. Koike-Akino, A. Alvarado, M. Paskov, K. Kojima, K. Parsons, B. C. Thomsen, S. J. Savory, and P. Bayvel, “Transceiver-limited high spectral efficiency Nyquist-WDM systems,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th2A.13.

Schmalen, L.

A. Leven, F. Vacondio, L. Schmalen, S. Brink, and W. Idler, “Estimation of soft FEC performance in optical transmission experiments,” Photon. Technol. Lett., vol. 23, no. 20, pp. 1547–1549, 2011.

Schmidt, T.

H. G. Batshon, I. Djordjevic, and T. Schmidt, “Ultra high speed optical transmission using subcarrier-multiplexed four-dimensional LDPC-coded modulation,” Opt. Exp., vol. 18, no. 19, pp. 20 546–20 551, 2010.

Schmidt-Langhorst, C.

R. Elschner, F. Frey, C. Meuer, J. K. Fischer, S. Alreesh, C. Schmidt-Langhorst, L. Molle, T. Tanimura, and C. Schubert, “Experimental demonstration of a format-flexible single-carrier coherent receiver using data-aided digital signal processing,” Opt. Exp., vol. 20, no. 27, pp. 28 786–28 791, 2012.

Schubert, C.

R. Elschner, F. Frey, C. Meuer, J. K. Fischer, S. Alreesh, C. Schmidt-Langhorst, L. Molle, T. Tanimura, and C. Schubert, “Experimental demonstration of a format-flexible single-carrier coherent receiver using data-aided digital signal processing,” Opt. Exp., vol. 20, no. 27, pp. 28 786–28 791, 2012.

Secondini, M.

D. Marsella, M. Secondini, and E. Forestieri, “Maximum likelihood sequence detection for mitigating nonlinear effects,” J. Lightw. Technol., vol. 32, no. 5, pp. 908–916, 2014.

M. Secondini, E. Forestieri, and G. Prati, “Achievable information rate in nonlinear WDM fiber-optic systems with arbitrary modulation formats and dispersion maps,” J. Lightw. Technol., vol. 31, no. 23, pp. 3839–3852, 2013.

Sinkin, O.

J.-X. Cai, H. G. Batshon, H. Zhang, M. Mazurczyk, O. Sinkin, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “30.4 Tb/s transmission over transpacific distance using 200 Gb/s and dual wavelength 400 Gb/s 16QAM at 6.0 b/s/Hz spectral efficiency,” Opt. Exp., vol. 22, no. 8, pp. 9116–9122, 2014.

Sjöström, F.

Sugizaki, R.

K. Igarashi, T. Tsuritani, I. Morita, Y. Tsuchida, K. Maeda, M. Tadakuma, T. Saito, K. Watanabe, K. Imamura, R. Sugizaki, and M. Suzuki, “Super-Nyquist-WDM transmission over 7,326-km seven-core fiber with capacity-distance product of 1.03 Exabit/s · km,” Opt. Exp., vol. 22, no. 2, pp. 1220–1228, 2014.

Sun, Y.

H. Zhang, J.-X. Cai, H. G. Batshon, C. R. Davidson, Y. Sun, M. Mazurczyk, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “16QAM transmission with 5.2 bits/s/Hz spectral efficiency over transoceanic distance,” Opt. Exp., vol. 20, no. 11, pp. 11 688–11 693, 2012.

Suzuki, M.

K. Igarashi, T. Tsuritani, I. Morita, Y. Tsuchida, K. Maeda, M. Tadakuma, T. Saito, K. Watanabe, K. Imamura, R. Sugizaki, and M. Suzuki, “Super-Nyquist-WDM transmission over 7,326-km seven-core fiber with capacity-distance product of 1.03 Exabit/s · km,” Opt. Exp., vol. 22, no. 2, pp. 1220–1228, 2014.

Tadakuma, M.

K. Igarashi, T. Tsuritani, I. Morita, Y. Tsuchida, K. Maeda, M. Tadakuma, T. Saito, K. Watanabe, K. Imamura, R. Sugizaki, and M. Suzuki, “Super-Nyquist-WDM transmission over 7,326-km seven-core fiber with capacity-distance product of 1.03 Exabit/s · km,” Opt. Exp., vol. 22, no. 2, pp. 1220–1228, 2014.

Tanimura, T.

R. Elschner, F. Frey, C. Meuer, J. K. Fischer, S. Alreesh, C. Schmidt-Langhorst, L. Molle, T. Tanimura, and C. Schubert, “Experimental demonstration of a format-flexible single-carrier coherent receiver using data-aided digital signal processing,” Opt. Exp., vol. 20, no. 27, pp. 28 786–28 791, 2012.

Taricco, G.

G. Caire, G. Taricco, and E. Biglieri, “Bit-interleaved coded modulation,” IEEE Trans. Inform. Theory, vol. 44, no. 3, pp. 927–946, 1998.

Temprana, E.

E. Temprana, E. Myslivets, B.-P. Kuo, L. Liu, V. Ataie, N. Alic, and S. Radic, “Overcoming Kerr-induced capacity limit in optical fiber transmission,” Science, vol. 348, no. 6242, pp. 1445–1448, 2015.

Thomsen, B. C.

D. Millar, R. Maher, D. Lavery, T. Koike-Akino, A. Alvarado, M. Paskov, K. Kojima, K. Parsons, B. C. Thomsen, S. J. Savory, and P. Bayvel, “Transceiver-limited high spectral efficiency Nyquist-WDM systems,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th2A.13.

Tipsuwannakul, E.

Tkach, R.

R. Essiambre and R. Tkach, “Capacity trends and limits of optical communication networks,” Proc. IEEE, vol. 100, no. 5, pp. 1035–1055, 2012.

Tran, P.

A. Carbo Meseguer, J. Renaudier, R. Rios-Müller, P. Tran, and G. Charlet, “Impact of bandwidth efficiency in nonlinear tolerance of multicarrier modulations,” J. Lightw. Technol., 2015, to be published.

Tsuchida, Y.

K. Igarashi, T. Tsuritani, I. Morita, Y. Tsuchida, K. Maeda, M. Tadakuma, T. Saito, K. Watanabe, K. Imamura, R. Sugizaki, and M. Suzuki, “Super-Nyquist-WDM transmission over 7,326-km seven-core fiber with capacity-distance product of 1.03 Exabit/s · km,” Opt. Exp., vol. 22, no. 2, pp. 1220–1228, 2014.

Tsuritani, T.

K. Igarashi, T. Tsuritani, I. Morita, Y. Tsuchida, K. Maeda, M. Tadakuma, T. Saito, K. Watanabe, K. Imamura, R. Sugizaki, and M. Suzuki, “Super-Nyquist-WDM transmission over 7,326-km seven-core fiber with capacity-distance product of 1.03 Exabit/s · km,” Opt. Exp., vol. 22, no. 2, pp. 1220–1228, 2014.

Vacondio, F.

A. Leven, F. Vacondio, L. Schmalen, S. Brink, and W. Idler, “Estimation of soft FEC performance in optical transmission experiments,” Photon. Technol. Lett., vol. 23, no. 20, pp. 1547–1549, 2011.

Vasic, B.

I. B. Djordjevic, B. Vasic, M. Ivkovic, and I. Gabitov, “Achievable information rates for high-speed long-haul optical transmission,” J. Lightw. Technol., vol. 23, no. 11, pp. 3755–3763, 2005.

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S. Verdú and T. Han, “A general formula for channel capacity,” IEEE Trans. Inform. Theory, vol. 40, no. 4, pp. 1147–1157, 1994.

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D. Arnold, H.-A. Loeliger, P. Vontobel, A. Kavcic, and W. Zeng, “Simulation-based computation of information rates for channels with memory,” IEEE Trans. Inform. Theory, vol. 52, no. 8, pp. 3498–3508, 2006.

Wang, T.

I. Djordjevic, M. Cvijetic, L. Xu, and T. Wang, “Using LDPC-coded modulation and coherent detection for ultra highspeed optical transmission,” J. Lightw. Technol., vol. 25, no. 11, pp. 3619–3625, 2007.

Watanabe, K.

K. Igarashi, T. Tsuritani, I. Morita, Y. Tsuchida, K. Maeda, M. Tadakuma, T. Saito, K. Watanabe, K. Imamura, R. Sugizaki, and M. Suzuki, “Super-Nyquist-WDM transmission over 7,326-km seven-core fiber with capacity-distance product of 1.03 Exabit/s · km,” Opt. Exp., vol. 22, no. 2, pp. 1220–1228, 2014.

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A. Martinez, A. Guillén i Fàbregas, G. Caire, and F. Willems, “Bit-interleaved coded modulation revisited: A mismatched decoding perspective,” IEEE Trans. Inform. Theory, vol. 55, no. 6, pp. 2756–2765, 2009.

Winzer, P.

R. Essiambre, G. Kramer, P. Winzer, G. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightw. Technol., vol. 28, no. 4, pp. 662–701, 2010.

Winzer, P. J.

R.-J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightw. Technol., vol. 28, no. 4, pp. 662–701, 2010.

Xu, L.

I. Djordjevic, M. Cvijetic, L. Xu, and T. Wang, “Using LDPC-coded modulation and coherent detection for ultra highspeed optical transmission,” J. Lightw. Technol., vol. 25, no. 11, pp. 3619–3625, 2007.

Yaman, F.

D. Qian, M.-F. Huang, S. Zhang, Y. Zhang, Y.-K. Huang, F. Yaman, I. B. Djordjevic, and E. Mateo, “30Tb/s C- and L-bands bidirectional transmission over 10,181 km with 121 km span length,” Opt. Exp., vol. 21, no. 12, pp. 14 244–14 250, 2013.

Yousefi, M.

G. Kramer, M. Yousefi, and F. Kschischang, “Upper bound on the capacity of a cascade of nonlinear and noisy channels,” presented at the Information Theory Workshop, Jerusalem, Israel, 2015.

Zeng, W.

D. Arnold, H.-A. Loeliger, P. Vontobel, A. Kavcic, and W. Zeng, “Simulation-based computation of information rates for channels with memory,” IEEE Trans. Inform. Theory, vol. 52, no. 8, pp. 3498–3508, 2006.

Zhang, H.

J.-X. Cai, H. G. Batshon, H. Zhang, M. Mazurczyk, O. Sinkin, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “30.4 Tb/s transmission over transpacific distance using 200 Gb/s and dual wavelength 400 Gb/s 16QAM at 6.0 b/s/Hz spectral efficiency,” Opt. Exp., vol. 22, no. 8, pp. 9116–9122, 2014.

H. Zhang, J.-X. Cai, H. G. Batshon, C. R. Davidson, Y. Sun, M. Mazurczyk, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “16QAM transmission with 5.2 bits/s/Hz spectral efficiency over transoceanic distance,” Opt. Exp., vol. 20, no. 11, pp. 11 688–11 693, 2012.

Zhang, S.

D. Qian, M.-F. Huang, S. Zhang, Y. Zhang, Y.-K. Huang, F. Yaman, I. B. Djordjevic, and E. Mateo, “30Tb/s C- and L-bands bidirectional transmission over 10,181 km with 121 km span length,” Opt. Exp., vol. 21, no. 12, pp. 14 244–14 250, 2013.

Zhang, Y.

D. Qian, M.-F. Huang, S. Zhang, Y. Zhang, Y.-K. Huang, F. Yaman, I. B. Djordjevic, and E. Mateo, “30Tb/s C- and L-bands bidirectional transmission over 10,181 km with 121 km span length,” Opt. Exp., vol. 21, no. 12, pp. 14 244–14 250, 2013.

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G. Caire, G. Taricco, and E. Biglieri, “Bit-interleaved coded modulation,” IEEE Trans. Inform. Theory, vol. 44, no. 3, pp. 927–946, 1998.

D. Arnold, H.-A. Loeliger, P. Vontobel, A. Kavcic, and W. Zeng, “Simulation-based computation of information rates for channels with memory,” IEEE Trans. Inform. Theory, vol. 52, no. 8, pp. 3498–3508, 2006.

A. Martinez, A. Guillén i Fàbregas, G. Caire, and F. Willems, “Bit-interleaved coded modulation revisited: A mismatched decoding perspective,” IEEE Trans. Inform. Theory, vol. 55, no. 6, pp. 2756–2765, 2009.

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A. Alvarado, E. Agrell, D. Lavery, R. Maher, and P. Bayvel, “Replacing the soft-decision FEC limit paradigm in the design of optical communication systems,” J. Lightw. Technol., vol. 33, no. 20, pp. 4338–4352, 2015.

I. B. Djordjevic, B. Vasic, M. Ivkovic, and I. Gabitov, “Achievable information rates for high-speed long-haul optical transmission,” J. Lightw. Technol., vol. 23, no. 11, pp. 3755–3763, 2005.

R. Essiambre, G. Kramer, P. Winzer, G. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightw. Technol., vol. 28, no. 4, pp. 662–701, 2010.

M. Secondini, E. Forestieri, and G. Prati, “Achievable information rate in nonlinear WDM fiber-optic systems with arbitrary modulation formats and dispersion maps,” J. Lightw. Technol., vol. 31, no. 23, pp. 3839–3852, 2013.

E. Agrell, A. Alvarado, G. Durisi, and M. Karlsson, “Capacity of a nonlinear optical channel with finite memory,” J. Lightw. Technol., vol. 32, no. 16, pp. 2862–2876, 2014.

R.-J. Essiambre, G. Kramer, P. J. Winzer, G. J. Foschini, and B. Goebel, “Capacity limits of optical fiber networks,” J. Lightw. Technol., vol. 28, no. 4, pp. 662–701, 2010.

T. Pfau, S. Hoffmann, and R. Noé, “Hardware-efficient coherent digital receiver concept with feedforward carrier recovery for $M$-QAM constellations,” J. Lightw. Technol., vol. 27, no. 8, pp. 989–999, 2009.

E. Ip and J. Kahn, “Compensation of dispersion and nonlinear impairments using digital backpropagation,” J. Lightw. Technol., vol. 26, no. 20, pp. 3416–3425, 2008.

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D. Marsella, M. Secondini, and E. Forestieri, “Maximum likelihood sequence detection for mitigating nonlinear effects,” J. Lightw. Technol., vol. 32, no. 5, pp. 908–916, 2014.

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J. Sel. Topics Quantum Electron. (1)

S. Savory, “Digital coherent optical receivers: Algorithms and subsystems,” J. Sel. Topics Quantum Electron., vol. 16, no. 5, pp. 1164–1179, 2010.

Opt. Exp. (7)

H. Zhang, J.-X. Cai, H. G. Batshon, C. R. Davidson, Y. Sun, M. Mazurczyk, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “16QAM transmission with 5.2 bits/s/Hz spectral efficiency over transoceanic distance,” Opt. Exp., vol. 20, no. 11, pp. 11 688–11 693, 2012.

J.-X. Cai, H. G. Batshon, H. Zhang, M. Mazurczyk, O. Sinkin, D. G. Foursa, A. Pilipetskii, G. Mohs, and N. S. Bergano, “30.4 Tb/s transmission over transpacific distance using 200 Gb/s and dual wavelength 400 Gb/s 16QAM at 6.0 b/s/Hz spectral efficiency,” Opt. Exp., vol. 22, no. 8, pp. 9116–9122, 2014.

D. Qian, M.-F. Huang, S. Zhang, Y. Zhang, Y.-K. Huang, F. Yaman, I. B. Djordjevic, and E. Mateo, “30Tb/s C- and L-bands bidirectional transmission over 10,181 km with 121 km span length,” Opt. Exp., vol. 21, no. 12, pp. 14 244–14 250, 2013.

K. Igarashi, T. Tsuritani, I. Morita, Y. Tsuchida, K. Maeda, M. Tadakuma, T. Saito, K. Watanabe, K. Imamura, R. Sugizaki, and M. Suzuki, “Super-Nyquist-WDM transmission over 7,326-km seven-core fiber with capacity-distance product of 1.03 Exabit/s · km,” Opt. Exp., vol. 22, no. 2, pp. 1220–1228, 2014.

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R. Elschner, F. Frey, C. Meuer, J. K. Fischer, S. Alreesh, C. Schmidt-Langhorst, L. Molle, T. Tanimura, and C. Schubert, “Experimental demonstration of a format-flexible single-carrier coherent receiver using data-aided digital signal processing,” Opt. Exp., vol. 20, no. 27, pp. 28 786–28 791, 2012.

H. G. Batshon, I. Djordjevic, and T. Schmidt, “Ultra high speed optical transmission using subcarrier-multiplexed four-dimensional LDPC-coded modulation,” Opt. Exp., vol. 18, no. 19, pp. 20 546–20 551, 2010.

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R. Essiambre and R. Tkach, “Capacity trends and limits of optical communication networks,” Proc. IEEE, vol. 100, no. 5, pp. 1035–1055, 2012.

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P. Poggiolini, Y. Jiang, A. Carena, G. Bosco, and F. Forghieri, “Analytical results on system maximum reach increase through symbol rate optimization,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th3D.6.

A. Carbo Meseguer, J. Renaudier, R. Rios-Müller, P. Tran, and G. Charlet, “Impact of bandwidth efficiency in nonlinear tolerance of multicarrier modulations,” J. Lightw. Technol., 2015, to be published.

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G. Kramer, M. Yousefi, and F. Kschischang, “Upper bound on the capacity of a cascade of nonlinear and noisy channels,” presented at the Information Theory Workshop, Jerusalem, Israel, 2015.

D. Millar, R. Maher, D. Lavery, T. Koike-Akino, A. Alvarado, M. Paskov, K. Kojima, K. Parsons, B. C. Thomsen, S. J. Savory, and P. Bayvel, “Transceiver-limited high spectral efficiency Nyquist-WDM systems,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th2A.13.

R. Maher, D. Lavery, D. Millar, A. Alvarado, K. Parsons, R. Killey, and P. Bayvel, “Reach enhancement of 100% for a DP-64QAM super-channel using MC-DBP,” presented at the Optical Fiber Communication Conf., Los Angeles, CA, USA, 2015, paper Th4D.5.

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T. Fehenberger, N. Hanik, T. A. Eriksson, P. Johannisson, and M. Karlsson, “On the impact of carrier phase estimation onphase correlations in coherent fiber transmission,” presented at the Tyrrhenian Int. Workshop Digital Communications, Florence, Italy, 2015, paper P3.2.

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T. Mizuochi, “Next Generation FEC for Optical Communication,” presented at the Optical Fiber Communication Conf., San Diego, CA, USA, 2008, paper OTuE5.

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