J. B. Anderson and S. Mohan, “Sequential coding algorithms: a survey and cost analysis,” IEEE Trans. Commun.32, 169–176 (1984).

[CrossRef]

C. Duan, K. Parsons, T. Koike-Akino, R. Annavajjala, K. Kojima, T. Yoshida, T. Sugihara, and T. Mizuochi, “A low-complexity sliding-window turbo equalizer for nonlinearity compensation,” in Proceedings of OFC’12, JW2A.59 (2012).

A. Azzalini and A. Capitanio, “Statistical applications of the multivariate skew normal distribution,” J. R. Stat. Soc.61, 579–602 (1999).

[CrossRef]

E. Ip, N. Bai, and T. Wang, “Complexity versus performance tradeoff in fiber nonlinearity compensation using frequency-shaped, multi-subband backpropagation,” in Proceedings of OFC’11, OThF4 (2011).

H. G. Batshon, I. B. Djordjevic, L. Xu, and T. Wang, “Iterative polar quantization based modulation to achieve channel capacity in ultra-high-speed optical communication systems,” IEEE Photon. J.2, 593–599 (2010).

[CrossRef]

I. B. Djordjevic, L. L. Minkov, and H. G. Batshon, “Mitigation of linear and nonlinear impairments in high-speed optical networks by using LDPC-coded turbo equalization,” IEEE J. Sel. Areas Commun.26, 73–83 (2008).

[CrossRef]

J. Renaudier, G. Charlet, P. Tran, M. Salsi, and S. Bigo, “A performance comparison of differential and coherent detections over ultra long haul transmission of 10Gb/s BPSK,” in Proceedings of OFC’07, OWM1 (2007).

Y. Cai, D. G. Foursa, C. R. Davidson, J. X. Cai, O. Sinkin, M. Nissov, and A. Pilipetskii, “Experimental demonstration of coherent MAP detection for nonlinearity mitigation in long-haul transmissions,” in Proceedings of OFC’10, OTuE1 (2010).

Y. Cai, D. G. Foursa, C. R. Davidson, J. X. Cai, O. Sinkin, M. Nissov, and A. Pilipetskii, “Experimental demonstration of coherent MAP detection for nonlinearity mitigation in long-haul transmissions,” in Proceedings of OFC’10, OTuE1 (2010).

A. Azzalini and A. Capitanio, “Statistical applications of the multivariate skew normal distribution,” J. R. Stat. Soc.61, 579–602 (1999).

[CrossRef]

J. Renaudier, G. Charlet, P. Tran, M. Salsi, and S. Bigo, “A performance comparison of differential and coherent detections over ultra long haul transmission of 10Gb/s BPSK,” in Proceedings of OFC’07, OWM1 (2007).

Y. Cai, D. G. Foursa, C. R. Davidson, J. X. Cai, O. Sinkin, M. Nissov, and A. Pilipetskii, “Experimental demonstration of coherent MAP detection for nonlinearity mitigation in long-haul transmissions,” in Proceedings of OFC’10, OTuE1 (2010).

H. G. Batshon, I. B. Djordjevic, L. Xu, and T. Wang, “Iterative polar quantization based modulation to achieve channel capacity in ultra-high-speed optical communication systems,” IEEE Photon. J.2, 593–599 (2010).

[CrossRef]

I. B. Djordjevic, L. L. Minkov, and H. G. Batshon, “Mitigation of linear and nonlinear impairments in high-speed optical networks by using LDPC-coded turbo equalization,” IEEE J. Sel. Areas Commun.26, 73–83 (2008).

[CrossRef]

W. Yan, Z. Tao, L. Dou, L. Li, S. Oda, T. Tanimura, T. Hoshida, and J. C. Rasmussen, “Low complexity digital perturbation back-propagation,” in Proceedings of ECOC’11, Tu.3.A.2 (2011).

[PubMed]

T. Koike-Akino, C. Duan, K. Kojima, K. Parsons, T. Yoshida, T. Sugihara, and T. Mizuochi, “Fractionally-spaced statistical equalizer for fiber nonlinearity mitigation in digital coherent optical systems,” in Proceedings of OFC’12 OTh3C.3 (2012).

C. Duan, K. Parsons, T. Koike-Akino, R. Annavajjala, K. Kojima, T. Yoshida, T. Sugihara, and T. Mizuochi, “A low-complexity sliding-window turbo equalizer for nonlinearity compensation,” in Proceedings of OFC’12, JW2A.59 (2012).

Y. Cai, D. G. Foursa, C. R. Davidson, J. X. Cai, O. Sinkin, M. Nissov, and A. Pilipetskii, “Experimental demonstration of coherent MAP detection for nonlinearity mitigation in long-haul transmissions,” in Proceedings of OFC’10, OTuE1 (2010).

G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed. (Johns Hopkins University Press, 1996).

T. Yoshida, T. Sugihara, H. Goto, T. Tokura, K. Ishida, and T. Mizuochi, “A study on statistical equalization of intra-channel fiber nonlinearity for digital coherent optical systems,” in Proceedings of ECOC’11, Tu.3.A.1 (2011).

[PubMed]

F. P. Guiomar, J. D. Reis, A. Teixeira, and A. N. Pinto, “Mitigation of intra-channel nonlinearities using a frequency-domain Volterra series equalizer,” in Proceedings of ECOC’11, Tu.6.B.1 (2011).

[PubMed]

W. Yan, Z. Tao, L. Dou, L. Li, S. Oda, T. Tanimura, T. Hoshida, and J. C. Rasmussen, “Low complexity digital perturbation back-propagation,” in Proceedings of ECOC’11, Tu.3.A.2 (2011).

[PubMed]

T. Yoshida, T. Sugihara, H. Goto, T. Tokura, K. Ishida, and T. Mizuochi, “A study on statistical equalization of intra-channel fiber nonlinearity for digital coherent optical systems,” in Proceedings of ECOC’11, Tu.3.A.1 (2011).

[PubMed]

T. Koike-Akino, C. Duan, K. Kojima, K. Parsons, T. Yoshida, T. Sugihara, and T. Mizuochi, “Fractionally-spaced statistical equalizer for fiber nonlinearity mitigation in digital coherent optical systems,” in Proceedings of OFC’12 OTh3C.3 (2012).

C. Duan, K. Parsons, T. Koike-Akino, R. Annavajjala, K. Kojima, T. Yoshida, T. Sugihara, and T. Mizuochi, “A low-complexity sliding-window turbo equalizer for nonlinearity compensation,” in Proceedings of OFC’12, JW2A.59 (2012).

T. Koike-Akino, C. Duan, K. Kojima, K. Parsons, T. Yoshida, T. Sugihara, and T. Mizuochi, “Fractionally-spaced statistical equalizer for fiber nonlinearity mitigation in digital coherent optical systems,” in Proceedings of OFC’12 OTh3C.3 (2012).

C. Duan, K. Parsons, T. Koike-Akino, R. Annavajjala, K. Kojima, T. Yoshida, T. Sugihara, and T. Mizuochi, “A low-complexity sliding-window turbo equalizer for nonlinearity compensation,” in Proceedings of OFC’12, JW2A.59 (2012).

W. Yan, Z. Tao, L. Dou, L. Li, S. Oda, T. Tanimura, T. Hoshida, and J. C. Rasmussen, “Low complexity digital perturbation back-propagation,” in Proceedings of ECOC’11, Tu.3.A.2 (2011).

[PubMed]

I. B. Djordjevic, L. L. Minkov, and H. G. Batshon, “Mitigation of linear and nonlinear impairments in high-speed optical networks by using LDPC-coded turbo equalization,” IEEE J. Sel. Areas Commun.26, 73–83 (2008).

[CrossRef]

T. Koike-Akino, C. Duan, K. Kojima, K. Parsons, T. Yoshida, T. Sugihara, and T. Mizuochi, “Fractionally-spaced statistical equalizer for fiber nonlinearity mitigation in digital coherent optical systems,” in Proceedings of OFC’12 OTh3C.3 (2012).

C. Duan, K. Parsons, T. Koike-Akino, R. Annavajjala, K. Kojima, T. Yoshida, T. Sugihara, and T. Mizuochi, “A low-complexity sliding-window turbo equalizer for nonlinearity compensation,” in Proceedings of OFC’12, JW2A.59 (2012).

T. Yoshida, T. Sugihara, H. Goto, T. Tokura, K. Ishida, and T. Mizuochi, “A study on statistical equalization of intra-channel fiber nonlinearity for digital coherent optical systems,” in Proceedings of ECOC’11, Tu.3.A.1 (2011).

[PubMed]

J. B. Anderson and S. Mohan, “Sequential coding algorithms: a survey and cost analysis,” IEEE Trans. Commun.32, 169–176 (1984).

[CrossRef]

Y. Cai, D. G. Foursa, C. R. Davidson, J. X. Cai, O. Sinkin, M. Nissov, and A. Pilipetskii, “Experimental demonstration of coherent MAP detection for nonlinearity mitigation in long-haul transmissions,” in Proceedings of OFC’10, OTuE1 (2010).

W. Yan, Z. Tao, L. Dou, L. Li, S. Oda, T. Tanimura, T. Hoshida, and J. C. Rasmussen, “Low complexity digital perturbation back-propagation,” in Proceedings of ECOC’11, Tu.3.A.2 (2011).

[PubMed]

T. Koike-Akino, C. Duan, K. Kojima, K. Parsons, T. Yoshida, T. Sugihara, and T. Mizuochi, “Fractionally-spaced statistical equalizer for fiber nonlinearity mitigation in digital coherent optical systems,” in Proceedings of OFC’12 OTh3C.3 (2012).

C. Duan, K. Parsons, T. Koike-Akino, R. Annavajjala, K. Kojima, T. Yoshida, T. Sugihara, and T. Mizuochi, “A low-complexity sliding-window turbo equalizer for nonlinearity compensation,” in Proceedings of OFC’12, JW2A.59 (2012).

Y. Cai, D. G. Foursa, C. R. Davidson, J. X. Cai, O. Sinkin, M. Nissov, and A. Pilipetskii, “Experimental demonstration of coherent MAP detection for nonlinearity mitigation in long-haul transmissions,” in Proceedings of OFC’10, OTuE1 (2010).

F. P. Guiomar, J. D. Reis, A. Teixeira, and A. N. Pinto, “Mitigation of intra-channel nonlinearities using a frequency-domain Volterra series equalizer,” in Proceedings of ECOC’11, Tu.6.B.1 (2011).

[PubMed]

W. Yan, Z. Tao, L. Dou, L. Li, S. Oda, T. Tanimura, T. Hoshida, and J. C. Rasmussen, “Low complexity digital perturbation back-propagation,” in Proceedings of ECOC’11, Tu.3.A.2 (2011).

[PubMed]

F. P. Guiomar, J. D. Reis, A. Teixeira, and A. N. Pinto, “Mitigation of intra-channel nonlinearities using a frequency-domain Volterra series equalizer,” in Proceedings of ECOC’11, Tu.6.B.1 (2011).

[PubMed]

J. Renaudier, G. Charlet, P. Tran, M. Salsi, and S. Bigo, “A performance comparison of differential and coherent detections over ultra long haul transmission of 10Gb/s BPSK,” in Proceedings of OFC’07, OWM1 (2007).

J. Renaudier, G. Charlet, P. Tran, M. Salsi, and S. Bigo, “A performance comparison of differential and coherent detections over ultra long haul transmission of 10Gb/s BPSK,” in Proceedings of OFC’07, OWM1 (2007).

Y. Cai, D. G. Foursa, C. R. Davidson, J. X. Cai, O. Sinkin, M. Nissov, and A. Pilipetskii, “Experimental demonstration of coherent MAP detection for nonlinearity mitigation in long-haul transmissions,” in Proceedings of OFC’10, OTuE1 (2010).

T. Koike-Akino, C. Duan, K. Kojima, K. Parsons, T. Yoshida, T. Sugihara, and T. Mizuochi, “Fractionally-spaced statistical equalizer for fiber nonlinearity mitigation in digital coherent optical systems,” in Proceedings of OFC’12 OTh3C.3 (2012).

C. Duan, K. Parsons, T. Koike-Akino, R. Annavajjala, K. Kojima, T. Yoshida, T. Sugihara, and T. Mizuochi, “A low-complexity sliding-window turbo equalizer for nonlinearity compensation,” in Proceedings of OFC’12, JW2A.59 (2012).

T. Yoshida, T. Sugihara, H. Goto, T. Tokura, K. Ishida, and T. Mizuochi, “A study on statistical equalization of intra-channel fiber nonlinearity for digital coherent optical systems,” in Proceedings of ECOC’11, Tu.3.A.1 (2011).

[PubMed]

W. Yan, Z. Tao, L. Dou, L. Li, S. Oda, T. Tanimura, T. Hoshida, and J. C. Rasmussen, “Low complexity digital perturbation back-propagation,” in Proceedings of ECOC’11, Tu.3.A.2 (2011).

[PubMed]

W. Yan, Z. Tao, L. Dou, L. Li, S. Oda, T. Tanimura, T. Hoshida, and J. C. Rasmussen, “Low complexity digital perturbation back-propagation,” in Proceedings of ECOC’11, Tu.3.A.2 (2011).

[PubMed]

F. P. Guiomar, J. D. Reis, A. Teixeira, and A. N. Pinto, “Mitigation of intra-channel nonlinearities using a frequency-domain Volterra series equalizer,” in Proceedings of ECOC’11, Tu.6.B.1 (2011).

[PubMed]

T. Yoshida, T. Sugihara, H. Goto, T. Tokura, K. Ishida, and T. Mizuochi, “A study on statistical equalization of intra-channel fiber nonlinearity for digital coherent optical systems,” in Proceedings of ECOC’11, Tu.3.A.1 (2011).

[PubMed]

J. Renaudier, G. Charlet, P. Tran, M. Salsi, and S. Bigo, “A performance comparison of differential and coherent detections over ultra long haul transmission of 10Gb/s BPSK,” in Proceedings of OFC’07, OWM1 (2007).

G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed. (Johns Hopkins University Press, 1996).

H. G. Batshon, I. B. Djordjevic, L. Xu, and T. Wang, “Iterative polar quantization based modulation to achieve channel capacity in ultra-high-speed optical communication systems,” IEEE Photon. J.2, 593–599 (2010).

[CrossRef]

E. Ip, N. Bai, and T. Wang, “Complexity versus performance tradeoff in fiber nonlinearity compensation using frequency-shaped, multi-subband backpropagation,” in Proceedings of OFC’11, OThF4 (2011).

H. G. Batshon, I. B. Djordjevic, L. Xu, and T. Wang, “Iterative polar quantization based modulation to achieve channel capacity in ultra-high-speed optical communication systems,” IEEE Photon. J.2, 593–599 (2010).

[CrossRef]

W. Yan, Z. Tao, L. Dou, L. Li, S. Oda, T. Tanimura, T. Hoshida, and J. C. Rasmussen, “Low complexity digital perturbation back-propagation,” in Proceedings of ECOC’11, Tu.3.A.2 (2011).

[PubMed]

T. Koike-Akino, C. Duan, K. Kojima, K. Parsons, T. Yoshida, T. Sugihara, and T. Mizuochi, “Fractionally-spaced statistical equalizer for fiber nonlinearity mitigation in digital coherent optical systems,” in Proceedings of OFC’12 OTh3C.3 (2012).

C. Duan, K. Parsons, T. Koike-Akino, R. Annavajjala, K. Kojima, T. Yoshida, T. Sugihara, and T. Mizuochi, “A low-complexity sliding-window turbo equalizer for nonlinearity compensation,” in Proceedings of OFC’12, JW2A.59 (2012).

T. Yoshida, T. Sugihara, H. Goto, T. Tokura, K. Ishida, and T. Mizuochi, “A study on statistical equalization of intra-channel fiber nonlinearity for digital coherent optical systems,” in Proceedings of ECOC’11, Tu.3.A.1 (2011).

[PubMed]

I. B. Djordjevic, L. L. Minkov, and H. G. Batshon, “Mitigation of linear and nonlinear impairments in high-speed optical networks by using LDPC-coded turbo equalization,” IEEE J. Sel. Areas Commun.26, 73–83 (2008).

[CrossRef]

H. G. Batshon, I. B. Djordjevic, L. Xu, and T. Wang, “Iterative polar quantization based modulation to achieve channel capacity in ultra-high-speed optical communication systems,” IEEE Photon. J.2, 593–599 (2010).

[CrossRef]

J. B. Anderson and S. Mohan, “Sequential coding algorithms: a survey and cost analysis,” IEEE Trans. Commun.32, 169–176 (1984).

[CrossRef]

A. Azzalini and A. Capitanio, “Statistical applications of the multivariate skew normal distribution,” J. R. Stat. Soc.61, 579–602 (1999).

[CrossRef]

N. Alić, G. C. Papen, R. E. Saperstein, L. B. Milstein, and Y. Fainman, “Signal statistics and maximum likelihood sequence estimation in intensity modulated fiber optic links containing a single optical preamplifier,” Opt. Express13, 4568–4579 (2005).

[CrossRef]

X. Li, X. Chen, G. Goldfarb, E. Mateo, I. Kim, F. Yaman, and G. Li, “Electronic post-compensation of WDM transmission impairments using coherent detection and digital signal processing,” Opt. Express16, 880–888 (2008).

[CrossRef]
[PubMed]

T. Koike-Akino, C. Duan, K. Kojima, K. Parsons, T. Yoshida, T. Sugihara, and T. Mizuochi, “Fractionally-spaced statistical equalizer for fiber nonlinearity mitigation in digital coherent optical systems,” in Proceedings of OFC’12 OTh3C.3 (2012).

G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed. (Johns Hopkins University Press, 1996).

C. Duan, K. Parsons, T. Koike-Akino, R. Annavajjala, K. Kojima, T. Yoshida, T. Sugihara, and T. Mizuochi, “A low-complexity sliding-window turbo equalizer for nonlinearity compensation,” in Proceedings of OFC’12, JW2A.59 (2012).

J. Renaudier, G. Charlet, P. Tran, M. Salsi, and S. Bigo, “A performance comparison of differential and coherent detections over ultra long haul transmission of 10Gb/s BPSK,” in Proceedings of OFC’07, OWM1 (2007).

E. Ip, N. Bai, and T. Wang, “Complexity versus performance tradeoff in fiber nonlinearity compensation using frequency-shaped, multi-subband backpropagation,” in Proceedings of OFC’11, OThF4 (2011).

T. Yoshida, T. Sugihara, H. Goto, T. Tokura, K. Ishida, and T. Mizuochi, “A study on statistical equalization of intra-channel fiber nonlinearity for digital coherent optical systems,” in Proceedings of ECOC’11, Tu.3.A.1 (2011).

[PubMed]

W. Yan, Z. Tao, L. Dou, L. Li, S. Oda, T. Tanimura, T. Hoshida, and J. C. Rasmussen, “Low complexity digital perturbation back-propagation,” in Proceedings of ECOC’11, Tu.3.A.2 (2011).

[PubMed]

F. P. Guiomar, J. D. Reis, A. Teixeira, and A. N. Pinto, “Mitigation of intra-channel nonlinearities using a frequency-domain Volterra series equalizer,” in Proceedings of ECOC’11, Tu.6.B.1 (2011).

[PubMed]

Y. Cai, D. G. Foursa, C. R. Davidson, J. X. Cai, O. Sinkin, M. Nissov, and A. Pilipetskii, “Experimental demonstration of coherent MAP detection for nonlinearity mitigation in long-haul transmissions,” in Proceedings of OFC’10, OTuE1 (2010).