Abstract

In this paper we numerically investigate nonlinear impairments in a WDM system with mixed PM (D)QPSK and OOK channels. First we analyze the dependence of XPM and XPolM on SOP and baud rate in absence of PMD. In this case we find that the nonlinear impairments are highly dependent on relative SOP between the PM (D)QPSK and neighbouring OOK channels. The dependence on relative SOP is more pronounced in differential detection than in coherent detection. However, with increasing values of PMD this dependence decreases, and non-linear tolerance improves.

© 2012 OSA

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. Renaudier, O. Bertran-Pardo, G. Charlet, M. Salsi, M. Bertolini, P. Tran, H. Mardoyan, and S. Bigo, “Investigation on WDM nonlinear impairments arising from the insertion of 100-Gb/s coherent PDM-QPSK over legacy optical networks,” IEEE Photon. Technol. Lett. 21(24), 1816–1818 (2009).
    [CrossRef]
  2. A. Bononi, M. Bertolini, P. Serena, and G. Bellotti, “Cross-phase modulation induced by OOK channels on higher-rate DQPSK and coherent QPSK channels,” J. Lightwave Technol. 27(18), 3974–3983 (2009).
    [CrossRef]
  3. O. Vassilieva, T. Hoshida, J. C. Rasmussen, and T. Naito, “Symbol rate dependency of XPM-induced phase noise penalty on QPSK-based modulation formats,” in 34th European Conference on Optical Communication (2008), 1–2
  4. A. Bononi, N. Rossi, and P. Serena, “Transmission limitations due to fiber nonlinearity,” in Optical Fiber Communication Conference (Optical Society of America, 2011), p. OWO7.
  5. E. Gabory, M. Arikawa, D. Ogasahara and K. Fukuchi, “Mixed bit rate DWDM transmission of 112Gb/s PM-QPSK signals over a dispersion managed link using teal-time DSP to assess nonlinear distortions,” in ECOC 2011, paper Tu 6 B 3.
  6. H. Louchet, A. Richter, I. Koltchanov, S. Mingaleev, N. Karelin, and K. Kuzmin, “Comparison of XPM and XpolM-induced impairments in mixed 10G – 100G transmission,” in Proc. IEEE, 2011, 1–4.
  7. C. R. S. Fludger, T. Duthel, D. van den Borne, C. Schulien, E.-D. Schmidt, T. Wuth, J. Geyer, E. De, K. Man, Giok-Djan, and H. de Waardt, “Coherent equalization and PolmuxRZ- DQPSK for robust 100-G transmission,” J. Lightwave Technol. 26, 64–72 (2008).
    [CrossRef]
  8. A. Viterbi and A. Viterbi, “Nonlinear estimation of PSK-modulated carrier phase with application to burst digital transmission,” IEEE Trans. Inf. Theory 29(4), 543–551 (1983).
    [CrossRef]
  9. M. Kuschnerov, S. Calabrò, K. Piyawanno, B. Spinnler, M. S. Alfiad, A. Napoli, and B. Lankl, “Low complexity soft differential decoding of QPSK for forward error correction in coherent optic receivers,” in 2010 36th European Conference and Exhibition on Optical Communication (ECOC) (IEEE, 2010), 1–3.
  10. M. Karlsson and H. Sunnerud, “Effects of nonlinearities on PMD-induced system impairments,” J. Lightwave Technol. 24(11), 4127–4137 (2006).
    [CrossRef]
  11. E. Tipsuwannakul, M. N. Chughtai, M. Forzati, J. Mårtensson, P. Andrekson, and M. Karlsson, “Influence of self- and cross-phase modulation on 40 Gbaud dual polarization DQPSK/D8PSK signals in 10 Gbit/s OOK WDM systems,” Opt. Express 18(23), 24178–24188 (2010).
    [CrossRef] [PubMed]
  12. M. N. Chughtai, M. Forzati, J. Martensson, and D. Rafique, “Dependence of non-linear impairments on polarization state and baud rate in WDM systems with mixed DQPSK and OOK channels,” in (IEEE, 2011), 1–4
  13. C. Xie, “Impact of nonlinear and polarization effects on coherent systems,” in 2011 37th European Conference and Exhibition on Optical Communication (ECOC) (IEEE, 2011), 1–3.
  14. P. Serena, N. Rossi, and A. Bononi, “Nonlinear penalty reduction induced by PMD in 112 Gbit/s WDM PDM-QPSK coherent systems,” in 35th European Conference on Optical Communication,2009. ECOC ’09 (IEEE, 2009), 1–2.
  15. P. Serena, N. Rossi, O. Bertran-Pardo, J. Renaudier, A. Vannucci, and A. Bononi, “Intra- versus Inter-channel PMD in linearly compensated coherent PDM-PSK nonlinear transmissions,” J. Lightwave Technol. 29(11), 1691–1700 (2011).
    [CrossRef]

2011 (1)

2010 (1)

2009 (2)

J. Renaudier, O. Bertran-Pardo, G. Charlet, M. Salsi, M. Bertolini, P. Tran, H. Mardoyan, and S. Bigo, “Investigation on WDM nonlinear impairments arising from the insertion of 100-Gb/s coherent PDM-QPSK over legacy optical networks,” IEEE Photon. Technol. Lett. 21(24), 1816–1818 (2009).
[CrossRef]

A. Bononi, M. Bertolini, P. Serena, and G. Bellotti, “Cross-phase modulation induced by OOK channels on higher-rate DQPSK and coherent QPSK channels,” J. Lightwave Technol. 27(18), 3974–3983 (2009).
[CrossRef]

2008 (1)

2006 (1)

1983 (1)

A. Viterbi and A. Viterbi, “Nonlinear estimation of PSK-modulated carrier phase with application to burst digital transmission,” IEEE Trans. Inf. Theory 29(4), 543–551 (1983).
[CrossRef]

Andrekson, P.

Bellotti, G.

Bertolini, M.

A. Bononi, M. Bertolini, P. Serena, and G. Bellotti, “Cross-phase modulation induced by OOK channels on higher-rate DQPSK and coherent QPSK channels,” J. Lightwave Technol. 27(18), 3974–3983 (2009).
[CrossRef]

J. Renaudier, O. Bertran-Pardo, G. Charlet, M. Salsi, M. Bertolini, P. Tran, H. Mardoyan, and S. Bigo, “Investigation on WDM nonlinear impairments arising from the insertion of 100-Gb/s coherent PDM-QPSK over legacy optical networks,” IEEE Photon. Technol. Lett. 21(24), 1816–1818 (2009).
[CrossRef]

Bertran-Pardo, O.

P. Serena, N. Rossi, O. Bertran-Pardo, J. Renaudier, A. Vannucci, and A. Bononi, “Intra- versus Inter-channel PMD in linearly compensated coherent PDM-PSK nonlinear transmissions,” J. Lightwave Technol. 29(11), 1691–1700 (2011).
[CrossRef]

J. Renaudier, O. Bertran-Pardo, G. Charlet, M. Salsi, M. Bertolini, P. Tran, H. Mardoyan, and S. Bigo, “Investigation on WDM nonlinear impairments arising from the insertion of 100-Gb/s coherent PDM-QPSK over legacy optical networks,” IEEE Photon. Technol. Lett. 21(24), 1816–1818 (2009).
[CrossRef]

Bigo, S.

J. Renaudier, O. Bertran-Pardo, G. Charlet, M. Salsi, M. Bertolini, P. Tran, H. Mardoyan, and S. Bigo, “Investigation on WDM nonlinear impairments arising from the insertion of 100-Gb/s coherent PDM-QPSK over legacy optical networks,” IEEE Photon. Technol. Lett. 21(24), 1816–1818 (2009).
[CrossRef]

Bononi, A.

Charlet, G.

J. Renaudier, O. Bertran-Pardo, G. Charlet, M. Salsi, M. Bertolini, P. Tran, H. Mardoyan, and S. Bigo, “Investigation on WDM nonlinear impairments arising from the insertion of 100-Gb/s coherent PDM-QPSK over legacy optical networks,” IEEE Photon. Technol. Lett. 21(24), 1816–1818 (2009).
[CrossRef]

Chughtai, M. N.

De, E.

de Waardt, H.

Duthel, T.

Fludger, C. R. S.

Forzati, M.

Geyer, J.

Giok-Djan,

Karlsson, M.

Man, K.

Mardoyan, H.

J. Renaudier, O. Bertran-Pardo, G. Charlet, M. Salsi, M. Bertolini, P. Tran, H. Mardoyan, and S. Bigo, “Investigation on WDM nonlinear impairments arising from the insertion of 100-Gb/s coherent PDM-QPSK over legacy optical networks,” IEEE Photon. Technol. Lett. 21(24), 1816–1818 (2009).
[CrossRef]

Mårtensson, J.

Renaudier, J.

P. Serena, N. Rossi, O. Bertran-Pardo, J. Renaudier, A. Vannucci, and A. Bononi, “Intra- versus Inter-channel PMD in linearly compensated coherent PDM-PSK nonlinear transmissions,” J. Lightwave Technol. 29(11), 1691–1700 (2011).
[CrossRef]

J. Renaudier, O. Bertran-Pardo, G. Charlet, M. Salsi, M. Bertolini, P. Tran, H. Mardoyan, and S. Bigo, “Investigation on WDM nonlinear impairments arising from the insertion of 100-Gb/s coherent PDM-QPSK over legacy optical networks,” IEEE Photon. Technol. Lett. 21(24), 1816–1818 (2009).
[CrossRef]

Rossi, N.

Salsi, M.

J. Renaudier, O. Bertran-Pardo, G. Charlet, M. Salsi, M. Bertolini, P. Tran, H. Mardoyan, and S. Bigo, “Investigation on WDM nonlinear impairments arising from the insertion of 100-Gb/s coherent PDM-QPSK over legacy optical networks,” IEEE Photon. Technol. Lett. 21(24), 1816–1818 (2009).
[CrossRef]

Schmidt, E.-D.

Schulien, C.

Serena, P.

Sunnerud, H.

Tipsuwannakul, E.

Tran, P.

J. Renaudier, O. Bertran-Pardo, G. Charlet, M. Salsi, M. Bertolini, P. Tran, H. Mardoyan, and S. Bigo, “Investigation on WDM nonlinear impairments arising from the insertion of 100-Gb/s coherent PDM-QPSK over legacy optical networks,” IEEE Photon. Technol. Lett. 21(24), 1816–1818 (2009).
[CrossRef]

van den Borne, D.

Vannucci, A.

Viterbi, A.

A. Viterbi and A. Viterbi, “Nonlinear estimation of PSK-modulated carrier phase with application to burst digital transmission,” IEEE Trans. Inf. Theory 29(4), 543–551 (1983).
[CrossRef]

A. Viterbi and A. Viterbi, “Nonlinear estimation of PSK-modulated carrier phase with application to burst digital transmission,” IEEE Trans. Inf. Theory 29(4), 543–551 (1983).
[CrossRef]

Wuth, T.

IEEE Photon. Technol. Lett. (1)

J. Renaudier, O. Bertran-Pardo, G. Charlet, M. Salsi, M. Bertolini, P. Tran, H. Mardoyan, and S. Bigo, “Investigation on WDM nonlinear impairments arising from the insertion of 100-Gb/s coherent PDM-QPSK over legacy optical networks,” IEEE Photon. Technol. Lett. 21(24), 1816–1818 (2009).
[CrossRef]

IEEE Trans. Inf. Theory (1)

A. Viterbi and A. Viterbi, “Nonlinear estimation of PSK-modulated carrier phase with application to burst digital transmission,” IEEE Trans. Inf. Theory 29(4), 543–551 (1983).
[CrossRef]

J. Lightwave Technol. (4)

Opt. Express (1)

Other (8)

M. N. Chughtai, M. Forzati, J. Martensson, and D. Rafique, “Dependence of non-linear impairments on polarization state and baud rate in WDM systems with mixed DQPSK and OOK channels,” in (IEEE, 2011), 1–4

C. Xie, “Impact of nonlinear and polarization effects on coherent systems,” in 2011 37th European Conference and Exhibition on Optical Communication (ECOC) (IEEE, 2011), 1–3.

P. Serena, N. Rossi, and A. Bononi, “Nonlinear penalty reduction induced by PMD in 112 Gbit/s WDM PDM-QPSK coherent systems,” in 35th European Conference on Optical Communication,2009. ECOC ’09 (IEEE, 2009), 1–2.

O. Vassilieva, T. Hoshida, J. C. Rasmussen, and T. Naito, “Symbol rate dependency of XPM-induced phase noise penalty on QPSK-based modulation formats,” in 34th European Conference on Optical Communication (2008), 1–2

A. Bononi, N. Rossi, and P. Serena, “Transmission limitations due to fiber nonlinearity,” in Optical Fiber Communication Conference (Optical Society of America, 2011), p. OWO7.

E. Gabory, M. Arikawa, D. Ogasahara and K. Fukuchi, “Mixed bit rate DWDM transmission of 112Gb/s PM-QPSK signals over a dispersion managed link using teal-time DSP to assess nonlinear distortions,” in ECOC 2011, paper Tu 6 B 3.

H. Louchet, A. Richter, I. Koltchanov, S. Mingaleev, N. Karelin, and K. Kuzmin, “Comparison of XPM and XpolM-induced impairments in mixed 10G – 100G transmission,” in Proc. IEEE, 2011, 1–4.

M. Kuschnerov, S. Calabrò, K. Piyawanno, B. Spinnler, M. S. Alfiad, A. Napoli, and B. Lankl, “Low complexity soft differential decoding of QPSK for forward error correction in coherent optic receivers,” in 2010 36th European Conference and Exhibition on Optical Communication (ECOC) (IEEE, 2010), 1–3.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Setup for simulations.

Fig. 2
Fig. 2

Required OSNR versus launch power per channel per polarization for differential detection (red curves) and coherent detection (blue curves) at 10 Gbaud (a), 28 Gbaud (b) and 56 Gbaud (c) with case(a) (triangle markers) and with case(b) (square markers).

Fig. 3
Fig. 3

SOP of PM DQPSK signal at 28 Gbaud (1st column) as red dots after transmission at 0.2 dBm launch power when the SOP of the NRZ OOK neighbours is LHP (case (a)) or +45° (case (b)); the blue dots are the vector sum of the Stokes vectors of all the wavelength channels at the transmitter. Signal constellation in x polarization (2nd Column), signal constellation in y polarization (3rd column).

Fig. 4
Fig. 4

BER versus NRZ OOK channel SOPs at 10 Gbaud @ 18 dB OSNR (a), 28 Gbaud @ 19 dB OSNR (b), and 56 Gbaud @ 21 dB OSNR (c).

Fig. 5
Fig. 5

Probability density function of required OSNR for BER = 10−3 at 0 ps/sqrt(km) PMD (a) and Probability density functions of required OSNRs for BER = 10−3 for various PMD values (b).

Tables (1)

Tables Icon

Table 1 NLT for Coherent and Differential Detection for Case (a) and Case (b) of SOPs

Metrics