Nonlinear Impairment Compensation for Polarization-Division Multiplexed WDM Transmission Using Digital Backward Propagation

A comprehensive treatment of digital backward propagation (DBP) accounting for the vectorial nature of optical transmission is presented. Experimental results show that self-phase and cross-phase modulation are the major sources of nonlinear impairments, even for small channel spacings and for transmission in low dispersion fibers. It is verified that compensating only the incoherent nonlinear impairments not only has the advantage of requiring lower computational load but also removes the necessity of using phase-locked carriers for the signal or phase-locked local oscillators. Simulation results show that polarization-mode dispersion has to be taken into account for practical wavelength division multiplexing systems for DBP to work properly. It is found that to compensate interchannel nonlinear impairments, the changes in the polarization states of channels have to be followed at every span.

[1]  R. M. Derosier,et al.  8*10 Gb/s transmission through 280 km of dispersion-managed fiber , 1993, IEEE Photonics Technology Letters.

[2]  K. Kikuchi,et al.  Coherent detection of optical quadrature phase-shift keying signals with carrier phase estimation , 2006, Journal of Lightwave Technology.

[3]  M. O'Sullivan,et al.  Electronic precompensation of optical nonlinearity , 2006, IEEE Photonics Technology Letters.

[4]  Xiang Liu,et al.  Postnonlinearity compensation with data-driven phase modulators in phase-shift keying transmission. , 2002, Optics letters.

[5]  D. Marcuse,et al.  Application of the Manakov-PMD equation to studies of signal propagation in optical fibers with randomly varying birefringence , 1997 .

[6]  K. Kikuchi Electronic post-compensation for nonlinear phase fluctuations in a 1000-km 20-Gbit/s optical quadrature phase-shift keying transmission system using the digital coherent receiver. , 2008, Optics express.

[7]  Pierluigi Poggiolini,et al.  Impact of Interchannel Nonlinearities on a Split-Step Intrachannel Nonlinear Equalizer , 2010, IEEE Photonics Technology Letters.

[8]  Arthur J Lowery,et al.  Fiber nonlinearity precompensation for long-haul links using direct-detection optical OFDM. , 2008, Optics express.

[9]  H. Kogelnik,et al.  Four-wave mixing in fibers with random birefringence. , 2004, Optics express.

[10]  S. Watanabe,et al.  Compensation of pulse shape distortion due to chromatic dispersion and Kerr effect by optical phase conjugation , 1993, IEEE Photonics Technology Letters.

[11]  Takeshi Hoshida,et al.  Systematic analysis on multi-segment dual-polarisation nonlinear compensation in 112 Gb/s DP-QPSK coherent receiver , 2009, 2009 35th European Conference on Optical Communication.

[12]  D. Marcuse,et al.  Effect of fiber nonlinearity on long-distance transmission , 1991 .

[13]  W. Kath,et al.  Nonlinear polarization-mode dispersion in optical fibers with randomly varying birefringence , 1997 .

[14]  Kenro Sekine,et al.  Analysis of cross-phase modulation (XPM) effect on WDM transmission performance , 1997 .

[15]  T. Hoshida,et al.  Polarization demultiplexing based on independent component analysis in optical coherent receivers , 2008, 2008 34th European Conference on Optical Communication.

[16]  M. O'Sullivan,et al.  Electrical domain compensation of optical dispersion [optical fibre communication applications] , 2005, OFC/NFOEC Technical Digest. Optical Fiber Communication Conference, 2005..

[17]  R. M. Derosier,et al.  Four-photon mixing and high-speed WDM systems , 1995 .

[18]  Koichi Ishihara,et al.  Multi-staged nonlinear compensation in coherent receiver for 12 015 km WDM transmission of 10-ch x 111 Gbit/s no-guard-interval co-OFDM , 2009 .

[19]  Guifang Li,et al.  Impact of XPM and FWM on the digital implementation of impairment compensation for WDM transmission using backward propagation. , 2008, Optics express.

[20]  M.T. Core Cross polarization interference cancellation for fiber optic systems , 2006, Journal of Lightwave Technology.

[21]  E. Yamazaki,et al.  Compensation of Interchannel Crosstalk Induced by Optical Fiber Nonlinearity in Carrier Phase-Locked WDM System , 2007, IEEE Photonics Technology Letters.

[22]  G. Agrawal,et al.  Vector theory of cross-phase modulation: role of nonlinear polarization rotation , 2004, IEEE Journal of Quantum Electronics.

[23]  T. Chikama,et al.  Four 5-Gbit/s WDM transmission over 4760-km straight-line using pre- and post-dispersion compensation and FWM cross talk reduction , 1996, Optical Fiber Communications, OFC..

[24]  Liang Du,et al.  Efficient digital backpropagation for PDM-CO-OFDM optical transmission systems , 2010, 2010 Conference on Optical Fiber Communication (OFC/NFOEC), collocated National Fiber Optic Engineers Conference.

[25]  K. Turitsyn,et al.  Information capacity of optical fiber channels with zero average dispersion. , 2003, Physical review letters.

[26]  A.T. Erdogan,et al.  Automatic PMD Compensation by Unsupervised Polarization Diversity Combining Coherent Receivers , 2008, Journal of Lightwave Technology.

[27]  Bruno Crosignani,et al.  Intensity-induced rotation of the polarization ellipse in low-birefringence, single-mode optical fibres , 1985 .

[28]  A. Chraplyvy Limitations on lightwave communications imposed by optical-fiber nonlinearities , 1990 .

[29]  M Karlsson,et al.  Autocorrelation function of the polarization-mode dispersion vector. , 1999, Optics letters.

[30]  R. Slusher,et al.  Improving transmission performance in differential phase-shift-keyed systems by use of lumped nonlinear phase-shift compensation. , 2002, Optics letters.

[31]  Richard D. Gitlin,et al.  Electrical signal processing techniques in long-haul fiber-optic systems , 1990, IEEE Trans. Commun..

[32]  H. Kogelnik,et al.  PMD fundamentals: polarization mode dispersion in optical fibers. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[33]  R. E. Wagner,et al.  Phenomenological approach to polarisation dispersion in long single-mode fibres , 1986 .

[34]  C. Kurtzke,et al.  Suppression of fiber nonlinearities by appropriate dispersion management , 1993, IEEE Photonics Technology Letters.

[35]  G. Raybon,et al.  2.5 Tb/s (64/spl times/42.7 Gb/s) transmission over 40/spl times/100 km NZDSF using RZ-DPSK format and all-Raman-amplified spans , 2002, Optical Fiber Communication Conference and Exhibit.

[36]  Arthur James Lowery,et al.  Fiber Nonlinearity Mitigation in Optical Links That Use OFDM for Dispersion Compensation , 2007, IEEE Photonics Technology Letters.

[37]  Guifang Li,et al.  Coherent optical communication using polarization multiple-input-multiple-output. , 2005, Optics express.

[38]  Fred Buchali,et al.  Transmission of 1.2 Tb/s continuous waveband PDM-OFDM-FDM signal with spectral efficiency of 3.3 bit/s/Hz over 400 km of SSMF , 2009, 2009 Conference on Optical Fiber Communication - incudes post deadline papers.

[39]  Chongjin Xie,et al.  WDM coherent PDM-QPSK systems with and without inline optical dispersion compensation. , 2009, Optics express.

[40]  S. Makovejs,et al.  Experimental comparison of nonlinear compensation in long-haul PDM-QPSK transmission at 42.7 and 85.4 Gb/s , 2009, 2009 35th European Conference on Optical Communication.

[41]  John Lehrer Zyskind,et al.  40 Gb/s WDM Transmission of Eight 5 Gb/s Data Channels Over Transoceanic Distances using the Conventional NRZ Modulation Format , 1995 .

[42]  J. Kahn,et al.  Compensation of Dispersion and Nonlinear Impairments Using Digital Backpropagation , 2008, Journal of Lightwave Technology.

[43]  T Pfau,et al.  Coherent optical communication: towards realtime systems at 40 Gbit/s and beyond. , 2008, Optics express.

[44]  Takashi Mizuochi,et al.  A comparative study of DPSK and OOK WDM transmission over transoceanic distances and their performance degradations due to nonlinear phase noise , 2003 .

[45]  T. Tanimura,et al.  112 Gb/s DP-QPSK transmission using a novel nonlinear compensator in digital coherent receiver , 2009, 2009 Conference on Optical Fiber Communication - incudes post deadline papers.

[46]  Guifang Li,et al.  Experimental Demonstration of Fiber Impairment Compensation Using the Split-Step Finite-Impulse-Response Filtering Method , 2008, IEEE Photonics Technology Letters.

[47]  A. Ellis,et al.  Spectral density enhancement using coherent WDM , 2005, IEEE Photonics Technology Letters.

[48]  N.S. Bergano Wavelength division multiplexing in long-haul transoceanic transmission systems , 2005, Journal of Lightwave Technology.

[49]  S. Calabro,et al.  Reduction of nonlinear penalties through polarization interleaving in 2/spl times/10 gb/s polarization-multiplexed transmission , 2005, IEEE Photonics Technology Letters.

[50]  M. Lipson,et al.  Spectral phase conjugation via temporal imaging. , 2009, Optics express.

[51]  Peter Meissner,et al.  PMD compensation with coherent reception and digital signal processing , 2007, 2007 Quantum Electronics and Laser Science Conference.

[52]  K. Inoue Fiber four-wave mixing suppression using two incoherent polarized lights , 1993 .

[53]  P. Winzer,et al.  Electronic predistortion and fiber nonlinearity , 2006, IEEE Photonics Technology Letters.

[54]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[55]  N. Takachio,et al.  Compensation of fibre chromatic dispersion in optical heterodyne detection , 1988 .

[56]  Effects of polarization-mode dispersion in dual-pump fiber-optic parametric amplifiers , 2004 .

[57]  Gerhard Kramer,et al.  The Capacity of Fiber-Optic Communication Systems , 2008, OFC/NFOEC 2008 - 2008 Conference on Optical Fiber Communication/National Fiber Optic Engineers Conference.

[58]  Xian Xu,et al.  Impact of pulse shaping on the SPM tolerance of electronically pre-compensated 10.7 Gb/s DPSK systems , 2010, 2010 Conference on Optical Fiber Communication (OFC/NFOEC), collocated National Fiber Optic Engineers Conference.

[59]  Ting Wang,et al.  32Tb/s (320×114Gb/s) PDM-RZ-8QAM transmission over 580km of SMF-28 ultra-low-loss fiber , 2009, 2009 Conference on Optical Fiber Communication - incudes post deadline papers.

[60]  Neal S. Bergano,et al.  Four-wave mixing in long lengths of dispersion-shifted fiber using a circulating loop , 1992 .

[61]  S. Savory,et al.  Electronic compensation of chromatic dispersion using a digital coherent receiver. , 2007, Optics express.

[62]  J. Gordon,et al.  Phase noise in photonic communications systems using linear amplifiers. , 1990, Optics letters.

[63]  Guifang Li,et al.  Orthogonal Wavelength-Division Multiplexing Using Coherent Detection , 2007, IEEE Photonics Technology Letters.

[64]  P. J. Winzer,et al.  10 × 112-Gb/s PDM 16-QAM transmission over 630 km of fiber with 6.2-b/s/Hz spectral efficiency , 2009, 2009 Conference on Optical Fiber Communication - incudes post deadline papers.

[65]  T. Kamalakis,et al.  New techniques for the suppression of the four-wave mixing-induced distortion in nonzero dispersion fiber WDM systems , 2005, Journal of Lightwave Technology.

[66]  M.G. Taylor,et al.  Coherent detection method using DSP for demodulation of signal and subsequent equalization of propagation impairments , 2004, IEEE Photonics Technology Letters.

[67]  D. Sandel,et al.  PDL-Tolerant Real-time Polarization-Multiplexed QPSK Transmission with Digital Coherent Polarization Diversity Receiver , 2007, 2007 Digest of the IEEE/LEOS Summer Topical Meetings.

[68]  Massimiliano Salsi,et al.  Efficient Mitigation of Fiber Impairments in an Ultra-Long Haul Transmission of 40Gbit/s Polarization-Multiplexed Data, by Digital Processing in a Coherent Receiver , 2007, OFC 2007.

[69]  Keang-Po Ho,et al.  Electronic compensation technique to mitigate nonlinear phase noise , 2004, Journal of Lightwave Technology.

[70]  H. Sunnerud,et al.  Effects of Nonlinearities on PMD-Induced System Impairments , 2006, Journal of Lightwave Technology.

[71]  Guifang Li,et al.  Electronic post-compensation of WDM transmission impairments using coherent detection and digital signal processing. , 2008, Optics express.

[72]  Guifang Li,et al.  Compensation of interchannel nonlinearities using enhanced coupled equations for digital backward propagation. , 2009, Applied optics.