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).

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, "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).

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).

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

IEEE Trans. Commun. (2)

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).

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

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)

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.

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.

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.

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.

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