Abstract

The recently introduced multichip differential phase-shift keying (MC-DPSK) optical transmission format, entailing the modulation of relative phases over a moving transmission window of <i>D</i> successive chip intervals, is analytically and numerically analyzed. The maximum-likelihood optimal MC-DPSK receiver is derived and synthesized using integrated-optic Mach–Zehnder delay interferometers, whose electrical outputs are interpreted as generalized Stokes' parameters. The MC-DPSK performance over a nonlinear fiber channel, limited by the combination of amplified spontaneous emission noise and self-phase modulation, is further derived and simulated, demonstrating that the lowest complexity three-chip binary-phase MC-DPSK receiver provides an ~1-dB <i>Q</i>-factor advantage over conventional DPSK.

© 2007 IEEE

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  1. A. H. Gnauck, P. J. Winzer, "Optical phase-shift-keyed transmission," J. Lightw. Technol. 23, 115-130 (2005).
  2. R. A. Griffin, "10 Gbs optical differential quadrature phase shift key (DQPSK) transmission using GaAs/AlGaAs integration," Optical Fiber Commun. Conf. AnaheimCA (2002) Postdeadline Paper FD6-1.
  3. M. Nazarathy, E. Simony, "Multi-chip differential phase encoded optical transmission," IEEE Photon. Technol. Lett. 17, 1133-1135 (2005).
  4. J. P. Gordon, L. F. Mollenauer, "Phase noise in photonic communications systems using linear amplifiers," Opt. Lett. 15, 1351-1353 (1990).
  5. M. Nazarathy, E. Simony, "Performance limits of multilevel DPSK," IEEE Photon Technol. Lett. 17, 2310-2312 (2005).
  6. D. Divsalar, M. K. Simon, "Multiple-symbol differential detection of MPSK," IEEE Trans. Commun. 38, 300-308 (1990).
  7. Y. Yadin, A. Bilenca, M. Nazarathy, "Soft detection of multi-chip DPSK over the non-linear fiber optic channel," IEEE Photon. Technol. Lett. 17, 2001-2003 (2005).
  8. S. Calabro, "Improved detection of homodyne phase shift keying through multi-symbol phase estimation ," Eur. Conf. Optical Commun. GlasgowU.K. (2005) Paper We4.P.118.
  9. X. Liu, "Digital implementation of soft detection for 3-chip-DBPSK with improved receiver sensitivity and dispersion tolerance," Optical Fiber Commun. Conf. AnaheimCA (2006) Paper OTuI2.
  10. X. Liu, "Data-aided multi-symbol phase estimation for receiver sensitivity enhancement in optical DQPSK ," Conf. Coherent Optical Techniques and Applications (COTA) WhistlerBCCanada (2006) Paper CThB4.
  11. M. Nazarathy, Y. Yadin, "Simplified decision feedback-aided multi-chip binary DPSK receivers," IEEE Photon. Technol. Lett. 18, 1771-1773 (2006).
  12. M. Nazarathy, X. Liu, Y. Yadin, M. Orenstein, "Multi-chip detection of optical differential phase-shift keying and complexity reduction by interferometric decision feedback," Eur. Conf. Optical Commun. (ECOC) CannesFrance (2006) Poster Paper We3.P.79.
  13. M. Nazarathy, E. Simony, "Generalized stokes parameters shift keying: A new perspective on optimal detection over electrical and optical vector incoherent channels," IEEE Trans. Commun. 54, 499-509 (2006).
  14. M. Nazarathy, E. Simony, "Generalized stokes parameters shift keying," Opt. Lett. 31, 435-437 (2006).
  15. M. Nazarathy, E. Simony, "Stokes space optimal detection of multidifferential phase and polarization shift keying modulation ," J. Lightw. Technol. 24, 1978-1988 (2006).
  16. M. Nazarathy, E. Simony, "Error probability performance of equi-energy combined transmission of differential phase, amplitude and polarization," J. Lightw. Technol. 25, 249-260 (2007).
  17. K. P. Ho, "Probability density of nonlinear phase noise," J. Opt. Soc. Amer. B, Opt. Phys. 20, 1875-1879 (2003).
  18. Y. Yadin, M. Shtaif, M. Orenstein, "Nonlinear phase noise in phase modulated WDM fiber-optic communications," IEEE Photon. Technol. Lett. 16, 1307-1309 (2004).
  19. 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).
  20. M. K. Simon, S. M. Hinedi, W. Lindsey, Digital Communication Techniques: Signal Design and Detection (Prentice-Hall, 1995).
  21. R. Durett, Essentials of Stochastic Processes (Springer-Verlag, 2001) pp. 13.
  22. 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).
  23. K. P. Ho, "Compensation improvement of DPSK signal with nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 1216-1218 (2003).
  24. A. Meccozi, "Probability density functions of the nonlinear phase noise," Opt. Lett. 29, 673-675 (2004).
  25. C. Xu, X. Liu, X. Wei, "Differential phase-shift keying for high spectral efficiency optical transmissions," IEEE J. Sel. Topics Quantum Electron. 10, 281-293 (2004).
  26. D. Yevick, "Multicanonical communication system modeling—Application to PMD statistics," IEEE Photon. Technol. Lett. 14, 1512-1514 (2002).

2007 (1)

M. Nazarathy, E. Simony, "Error probability performance of equi-energy combined transmission of differential phase, amplitude and polarization," J. Lightw. Technol. 25, 249-260 (2007).

2006 (4)

M. Nazarathy, Y. Yadin, "Simplified decision feedback-aided multi-chip binary DPSK receivers," IEEE Photon. Technol. Lett. 18, 1771-1773 (2006).

M. Nazarathy, E. Simony, "Generalized stokes parameters shift keying: A new perspective on optimal detection over electrical and optical vector incoherent channels," IEEE Trans. Commun. 54, 499-509 (2006).

M. Nazarathy, E. Simony, "Generalized stokes parameters shift keying," Opt. Lett. 31, 435-437 (2006).

M. Nazarathy, E. Simony, "Stokes space optimal detection of multidifferential phase and polarization shift keying modulation ," J. Lightw. Technol. 24, 1978-1988 (2006).

2005 (5)

A. H. Gnauck, P. J. Winzer, "Optical phase-shift-keyed transmission," J. Lightw. Technol. 23, 115-130 (2005).

M. Nazarathy, E. Simony, "Multi-chip differential phase encoded optical transmission," IEEE Photon. Technol. Lett. 17, 1133-1135 (2005).

M. Nazarathy, E. Simony, "Performance limits of multilevel DPSK," IEEE Photon Technol. Lett. 17, 2310-2312 (2005).

Y. Yadin, A. Bilenca, M. Nazarathy, "Soft detection of multi-chip DPSK over the non-linear fiber optic channel," IEEE Photon. Technol. Lett. 17, 2001-2003 (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 (3)

A. Meccozi, "Probability density functions of the nonlinear phase noise," Opt. Lett. 29, 673-675 (2004).

C. Xu, X. Liu, X. Wei, "Differential phase-shift keying for high spectral efficiency optical transmissions," IEEE J. Sel. Topics Quantum Electron. 10, 281-293 (2004).

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

2003 (3)

K. P. Ho, "Probability density of nonlinear phase noise," J. Opt. Soc. Amer. B, Opt. Phys. 20, 1875-1879 (2003).

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).

K. P. Ho, "Compensation improvement of DPSK signal with nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 1216-1218 (2003).

2002 (1)

D. Yevick, "Multicanonical communication system modeling—Application to PMD statistics," IEEE Photon. Technol. Lett. 14, 1512-1514 (2002).

1990 (2)

D. Divsalar, M. K. Simon, "Multiple-symbol differential detection of MPSK," IEEE Trans. Commun. 38, 300-308 (1990).

J. P. Gordon, L. F. Mollenauer, "Phase noise in photonic communications systems using linear amplifiers," Opt. Lett. 15, 1351-1353 (1990).

IEEE J. Sel. Topics Quantum Electron. (1)

C. Xu, X. Liu, X. Wei, "Differential phase-shift keying for high spectral efficiency optical transmissions," IEEE J. Sel. Topics Quantum Electron. 10, 281-293 (2004).

IEEE Photon Technol. Lett. (1)

M. Nazarathy, E. Simony, "Performance limits of multilevel DPSK," IEEE Photon Technol. Lett. 17, 2310-2312 (2005).

IEEE Photon. Technol. Lett. (8)

M. Nazarathy, Y. Yadin, "Simplified decision feedback-aided multi-chip binary DPSK receivers," IEEE Photon. Technol. Lett. 18, 1771-1773 (2006).

M. Nazarathy, E. Simony, "Multi-chip differential phase encoded optical transmission," IEEE Photon. Technol. Lett. 17, 1133-1135 (2005).

Y. Yadin, A. Bilenca, M. Nazarathy, "Soft detection of multi-chip DPSK over the non-linear fiber optic channel," IEEE Photon. Technol. Lett. 17, 2001-2003 (2005).

D. Yevick, "Multicanonical communication system modeling—Application to PMD statistics," IEEE Photon. Technol. Lett. 14, 1512-1514 (2002).

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).

K. P. Ho, "Compensation improvement of DPSK signal with nonlinear phase noise," IEEE Photon. Technol. Lett. 15, 1216-1218 (2003).

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

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 Trans. Commun. (2)

D. Divsalar, M. K. Simon, "Multiple-symbol differential detection of MPSK," IEEE Trans. Commun. 38, 300-308 (1990).

M. Nazarathy, E. Simony, "Generalized stokes parameters shift keying: A new perspective on optimal detection over electrical and optical vector incoherent channels," IEEE Trans. Commun. 54, 499-509 (2006).

J. Lightw. Technol. (3)

M. Nazarathy, E. Simony, "Stokes space optimal detection of multidifferential phase and polarization shift keying modulation ," J. Lightw. Technol. 24, 1978-1988 (2006).

M. Nazarathy, E. Simony, "Error probability performance of equi-energy combined transmission of differential phase, amplitude and polarization," J. Lightw. Technol. 25, 249-260 (2007).

A. H. Gnauck, P. J. Winzer, "Optical phase-shift-keyed transmission," J. Lightw. Technol. 23, 115-130 (2005).

J. Opt. Soc. Amer. B, Opt. Phys. (1)

K. P. Ho, "Probability density of nonlinear phase noise," J. Opt. Soc. Amer. B, Opt. Phys. 20, 1875-1879 (2003).

Opt. Lett. (3)

Other (7)

M. K. Simon, S. M. Hinedi, W. Lindsey, Digital Communication Techniques: Signal Design and Detection (Prentice-Hall, 1995).

R. Durett, Essentials of Stochastic Processes (Springer-Verlag, 2001) pp. 13.

R. A. Griffin, "10 Gbs optical differential quadrature phase shift key (DQPSK) transmission using GaAs/AlGaAs integration," Optical Fiber Commun. Conf. AnaheimCA (2002) Postdeadline Paper FD6-1.

S. Calabro, "Improved detection of homodyne phase shift keying through multi-symbol phase estimation ," Eur. Conf. Optical Commun. GlasgowU.K. (2005) Paper We4.P.118.

X. Liu, "Digital implementation of soft detection for 3-chip-DBPSK with improved receiver sensitivity and dispersion tolerance," Optical Fiber Commun. Conf. AnaheimCA (2006) Paper OTuI2.

X. Liu, "Data-aided multi-symbol phase estimation for receiver sensitivity enhancement in optical DQPSK ," Conf. Coherent Optical Techniques and Applications (COTA) WhistlerBCCanada (2006) Paper CThB4.

M. Nazarathy, X. Liu, Y. Yadin, M. Orenstein, "Multi-chip detection of optical differential phase-shift keying and complexity reduction by interferometric decision feedback," Eur. Conf. Optical Commun. (ECOC) CannesFrance (2006) Poster Paper We3.P.79.

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