Abstract

We revisit the treatment of laser phase noise, with particular application to coherent and differential phase-shift keyed (PSK) systems, developing a considerably simplified yet very accurate analysis based on the phase-noise exponent commutation (PNEC) premise that the receive filtering may be effectively applied in the polar (angular) domain and treating for the first time arbitrary transmit pulses (e.g., return to zero) and optical filter responses (still without intersymbol interference). The PNEC concept directly implies that the angle of the PSK and differential PSK decision statistic is Gaussian distributed, which is verified numerically as very accurate, by means of importance-sampling-based Monte Carlo simulations.

© 2009 IEEE

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  1. S. Tsukamoto, K. Katoh, K. Kikuchi, "Coherent demodulation of optical multilevel phase-shift-keying signals using homodyne detection and digital signal processing," IEEE Photon. Technol. Lett. 18, 1131-1133 (2006).
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  3. A. H. Gnauck, P. J. Winzer, "Optical phase-shift-keyed transmission," J. Lightw. Technol. 23, 115 (2005).
  4. X. Liu, S. Chandrasekhar1, A. Leven, "Digital self-coherent detection," Opt. Express 16, 792-803 (2008) http://www.opticsinfobase.org/abstract.cfm?URI=oe-16-2-792.
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  20. Y. Yadin, M. Shtaif, M. Orenstein, "Bit-error rate of optical DPSK in fiber systems by multicanonical Monte Carlo simulations," IEEE Photon. Technol. Lett. 17, 1355-1357 (2005).
  21. Y. Yadin, M. Shtaif, M. Orenstein, "Nonlinear phase noise in phase-modulated WDM fiber-optic communications," IEEE Photon. Technol. Lett. 16, 1307-1309 (2004).
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  23. C. R. Menyuk, "Application of multiple-length scale methods to the study of optical fiber transmission," J. Eng. Math. 36, 113-136 (1999).
  24. E. Patzak, P. Meissner, "Influence of IF-filtering on bit error rate floor in coherent optical DPSK-systems," Proc. Inst. Elect. Eng. Optoelectron. 135, J355-358 (1988).
  25. G. Jacobsen, B. Jensen, I. Garrett, J. B. Waite, "Bit error rate floors in coherent optical systems with delay demodulation," Electron. Lett. 25, 1425-1427 (1989).
  26. G. Jacobsen, I. Garrett, "Theory for optical heterodyne DPSK receivers with post-detection filtering," J. Lightw. Technol. LT-5, 478-484 (1987).

2008 (2)

X. Liu, S. Chandrasekhar1, A. Leven, "Digital self-coherent detection," Opt. Express 16, 792-803 (2008) http://www.opticsinfobase.org/abstract.cfm?URI=oe-16-2-792.

M. Nazarathy, X. Liu, L. Christen, Y. Lize, A. Wilner, "Self-coherent optical detection of multi-symbol differential phase-shift-keyed transmission," J. Lightw. Technol 26, 1921-1934 (2008).

2007 (2)

M. Nazarathy, X. Liu, L. Christen, Y. Lize, A. Willner, "Self-coherent decision-feedback-directed 40 Gbps DQPSK receiver," IEEE Photon. Technol. Lett. 19, 828-839 (2007).

M. M. Banat, "Exact moments of filtered laser phase noise," J. Lightw. Technol. 25, 632-637 (2007).

2006 (1)

S. Tsukamoto, K. Katoh, K. Kikuchi, "Coherent demodulation of optical multilevel phase-shift-keying signals using homodyne detection and digital signal processing," IEEE Photon. Technol. Lett. 18, 1131-1133 (2006).

2005 (2)

A. H. Gnauck, P. J. Winzer, "Optical phase-shift-keyed transmission," J. Lightw. Technol. 23, 115 (2005).

Y. Yadin, M. Shtaif, M. Orenstein, "Bit-error rate of optical DPSK in fiber systems by multicanonical Monte Carlo simulations," IEEE Photon. Technol. Lett. 17, 1355-1357 (2005).

2004 (2)

Y. Yadin, M. Shtaif, M. Orenstein, "Nonlinear phase noise in phase-modulated WDM fiber-optic communications," IEEE Photon. Technol. Lett. 16, 1307-1309 (2004).

C. C. Hiew, F. M. Abbou, H. T. Chuah, S. P. Majumder, A. A. R. Hairul, "BER estimation of optical WDM RZ-DPSK systems through the differential phase Q," IEEE Photon. Technol. Lett. 16, 2619-2621 (2004).

2003 (1)

X. Wei, X. Liu, C. Xu, "Numerical simulation of the SPM penalty in a 10-Gb/s RZ-DPSK system," IEEE Photon. Technol. Lett. 15, 1636-1638 (2003).

2000 (1)

I. T. Monroy, G. Hooghiemstra, "On a recursive formula for the moments of phase noise," IEEE Trans. Commun. 48, 917-920 (2000).

1999 (1)

C. R. Menyuk, "Application of multiple-length scale methods to the study of optical fiber transmission," J. Eng. Math. 36, 113-136 (1999).

1995 (2)

C. P. Kaiser, P. J. Smith, M. Shafi, "An improved optical heterodyne DPSK receiver to combat laser phase noise," J. Lightw. Technol. 13, 525-533 (1995).

G. Einarsson, J. Strandberg, I. T. Monroy, "Error probability evaluation of optical systems disturbed by phase noise and additive noise," J. Lightw. Technol. 13, 1847-1852 (1995).

1993 (1)

C. P. Kaiser, M. Shafi, P. J. Smith, "Analysis methods for optical heterodyne DPSK receivers corrupted by laser phase noise," J. Lightw. Technol. 11, 1820-1830 (1993).

1991 (1)

G. L. Pierobon, L. Tomba, "Moment characterization of phase noise in coherent optical systems," J. Lightw. Technol. 9, 996-1005 (1991).

1990 (1)

1989 (1)

G. Jacobsen, B. Jensen, I. Garrett, J. B. Waite, "Bit error rate floors in coherent optical systems with delay demodulation," Electron. Lett. 25, 1425-1427 (1989).

1988 (2)

G. J. Foschini, G. Vannucci, "Characterizing filtered light waves corrupted by phase noise," IEEE Trans. Inf. Theory 34, 1437-1448 (1988).

E. Patzak, P. Meissner, "Influence of IF-filtering on bit error rate floor in coherent optical DPSK-systems," Proc. Inst. Elect. Eng. Optoelectron. 135, J355-358 (1988).

1987 (1)

G. Jacobsen, I. Garrett, "Theory for optical heterodyne DPSK receivers with post-detection filtering," J. Lightw. Technol. LT-5, 478-484 (1987).

Electron. Lett. (1)

G. Jacobsen, B. Jensen, I. Garrett, J. B. Waite, "Bit error rate floors in coherent optical systems with delay demodulation," Electron. Lett. 25, 1425-1427 (1989).

IEEE Photon. Technol. Lett. (1)

M. Nazarathy, X. Liu, L. Christen, Y. Lize, A. Willner, "Self-coherent decision-feedback-directed 40 Gbps DQPSK receiver," IEEE Photon. Technol. Lett. 19, 828-839 (2007).

IEEE Photon. Technol. Lett. (1)

C. C. Hiew, F. M. Abbou, H. T. Chuah, S. P. Majumder, A. A. R. Hairul, "BER estimation of optical WDM RZ-DPSK systems through the differential phase Q," IEEE Photon. Technol. Lett. 16, 2619-2621 (2004).

IEEE Photon. Technol. Lett. (1)

Y. Yadin, M. Shtaif, M. Orenstein, "Bit-error rate of optical DPSK in fiber systems by multicanonical Monte Carlo simulations," IEEE Photon. Technol. Lett. 17, 1355-1357 (2005).

IEEE Photon. Technol. Lett. (3)

Y. Yadin, M. Shtaif, M. Orenstein, "Nonlinear phase noise in phase-modulated WDM fiber-optic communications," IEEE Photon. Technol. Lett. 16, 1307-1309 (2004).

S. Tsukamoto, K. Katoh, K. Kikuchi, "Coherent demodulation of optical multilevel phase-shift-keying signals using homodyne detection and digital signal processing," IEEE Photon. Technol. Lett. 18, 1131-1133 (2006).

X. Wei, X. Liu, C. Xu, "Numerical simulation of the SPM penalty in a 10-Gb/s RZ-DPSK system," IEEE Photon. Technol. Lett. 15, 1636-1638 (2003).

IEEE Trans. Commun. (1)

I. T. Monroy, G. Hooghiemstra, "On a recursive formula for the moments of phase noise," IEEE Trans. Commun. 48, 917-920 (2000).

IEEE Trans. Inf. Theory (1)

G. J. Foschini, G. Vannucci, "Characterizing filtered light waves corrupted by phase noise," IEEE Trans. Inf. Theory 34, 1437-1448 (1988).

J. Eng. Math. (1)

C. R. Menyuk, "Application of multiple-length scale methods to the study of optical fiber transmission," J. Eng. Math. 36, 113-136 (1999).

J. Lightw. Technol. (1)

G. Einarsson, J. Strandberg, I. T. Monroy, "Error probability evaluation of optical systems disturbed by phase noise and additive noise," J. Lightw. Technol. 13, 1847-1852 (1995).

J. Lightw. Technol (1)

M. Nazarathy, X. Liu, L. Christen, Y. Lize, A. Wilner, "Self-coherent optical detection of multi-symbol differential phase-shift-keyed transmission," J. Lightw. Technol 26, 1921-1934 (2008).

J. Lightw. Technol. (6)

A. H. Gnauck, P. J. Winzer, "Optical phase-shift-keyed transmission," J. Lightw. Technol. 23, 115 (2005).

G. L. Pierobon, L. Tomba, "Moment characterization of phase noise in coherent optical systems," J. Lightw. Technol. 9, 996-1005 (1991).

M. M. Banat, "Exact moments of filtered laser phase noise," J. Lightw. Technol. 25, 632-637 (2007).

C. P. Kaiser, M. Shafi, P. J. Smith, "Analysis methods for optical heterodyne DPSK receivers corrupted by laser phase noise," J. Lightw. Technol. 11, 1820-1830 (1993).

C. P. Kaiser, P. J. Smith, M. Shafi, "An improved optical heterodyne DPSK receiver to combat laser phase noise," J. Lightw. Technol. 13, 525-533 (1995).

G. Jacobsen, I. Garrett, "Theory for optical heterodyne DPSK receivers with post-detection filtering," J. Lightw. Technol. LT-5, 478-484 (1987).

Opt. Express (1)

X. Liu, S. Chandrasekhar1, A. Leven, "Digital self-coherent detection," Opt. Express 16, 792-803 (2008) http://www.opticsinfobase.org/abstract.cfm?URI=oe-16-2-792.

Opt. Lett. (1)

Proc. Inst. Elect. Eng. Optoelectron. (1)

E. Patzak, P. Meissner, "Influence of IF-filtering on bit error rate floor in coherent optical DPSK-systems," Proc. Inst. Elect. Eng. Optoelectron. 135, J355-358 (1988).

Other (5)

W. Shieh, X. Yi, Y. Tang, "Experimental demonstration of transmission of coherent optical OFDMSystems," Proc. IEEE Conf. Opt. Fiber Commun. (2007).

M. Azizoglu, P. A. Humblet, "Optical DPSK with generalized phase noise model and narrowband reception," IEEE Int. Conf. Commun.(ICC 93) Tech. Program Conf. Rec. (1993) pp. 1591-1596.

N. Kichuchi, "Proposal and first experimental demonstration of digital incoherent optical field detector for chromatic dispersion compensation," ECOC'06 postdeadline paper Th4.4.4.

X. Liu, X. Wei, "Electronic dispersion compensation based on optical field reconstruction with orthogonal differential direct-detection and digital signal processing," OFC'07 paper OTuA6.

L. Kazovsky, S. Benedetto, A. Willner, Optical Fiber Communication Systems—Appendix B (Artech House, 1996).

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