Abstract

Application of Kalman filtering with a novel nearest-symbol constraint enables dynamic tracking of carrier phase and polarization state. Thereby, the proposed Kalman filter accomplishes demodulation of optical polarization- multiplexed complex modulation format signals.

© 2010 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. Freund, D. Groß, M. Seimetz, L. Molle, and C. Caspar, in Proceedings of the IEEE/OSA Optical Fiber Conference (2008), paper OMI5.
  2. R. Noé, J. Lightwave Technol. 23, 802 (2005).
    [CrossRef]
  3. R. Noé, B. Koch, V. Mirvoda, and D. Sandel, in Proceedings of the IEEE/OSA Optical Fiber Conference (2010), paper OThJ1.
  4. S. Savory, Opt. Express 16, 804 (2008).
    [CrossRef] [PubMed]
  5. G. Welch and G. Bishop, “An introduction to the Kalman filter,” Tech. Rep. TR 95-041 (University of North Carolina at Chapel Hill, Department of Computer Science, 2004).
  6. J. Renaudier, G. Charlet, M. Salsi, O. Pardo, H. Mardoyan, P. Tran, and S. Bigo, J. Lightwave Technol. 26, 36 (2008).
    [CrossRef]

2010

R. Noé, B. Koch, V. Mirvoda, and D. Sandel, in Proceedings of the IEEE/OSA Optical Fiber Conference (2010), paper OThJ1.

2008

S. Savory, Opt. Express 16, 804 (2008).
[CrossRef] [PubMed]

R. Freund, D. Groß, M. Seimetz, L. Molle, and C. Caspar, in Proceedings of the IEEE/OSA Optical Fiber Conference (2008), paper OMI5.

J. Renaudier, G. Charlet, M. Salsi, O. Pardo, H. Mardoyan, P. Tran, and S. Bigo, J. Lightwave Technol. 26, 36 (2008).
[CrossRef]

2005

2004

G. Welch and G. Bishop, “An introduction to the Kalman filter,” Tech. Rep. TR 95-041 (University of North Carolina at Chapel Hill, Department of Computer Science, 2004).

Bigo, S.

Bishop, G.

G. Welch and G. Bishop, “An introduction to the Kalman filter,” Tech. Rep. TR 95-041 (University of North Carolina at Chapel Hill, Department of Computer Science, 2004).

Caspar, C.

R. Freund, D. Groß, M. Seimetz, L. Molle, and C. Caspar, in Proceedings of the IEEE/OSA Optical Fiber Conference (2008), paper OMI5.

Charlet, G.

Freund, R.

R. Freund, D. Groß, M. Seimetz, L. Molle, and C. Caspar, in Proceedings of the IEEE/OSA Optical Fiber Conference (2008), paper OMI5.

Groß, D.

R. Freund, D. Groß, M. Seimetz, L. Molle, and C. Caspar, in Proceedings of the IEEE/OSA Optical Fiber Conference (2008), paper OMI5.

Koch, B.

R. Noé, B. Koch, V. Mirvoda, and D. Sandel, in Proceedings of the IEEE/OSA Optical Fiber Conference (2010), paper OThJ1.

Mardoyan, H.

Mirvoda, V.

R. Noé, B. Koch, V. Mirvoda, and D. Sandel, in Proceedings of the IEEE/OSA Optical Fiber Conference (2010), paper OThJ1.

Molle, L.

R. Freund, D. Groß, M. Seimetz, L. Molle, and C. Caspar, in Proceedings of the IEEE/OSA Optical Fiber Conference (2008), paper OMI5.

Noé, R.

R. Noé, B. Koch, V. Mirvoda, and D. Sandel, in Proceedings of the IEEE/OSA Optical Fiber Conference (2010), paper OThJ1.

R. Noé, J. Lightwave Technol. 23, 802 (2005).
[CrossRef]

Pardo, O.

Renaudier, J.

Salsi, M.

Sandel, D.

R. Noé, B. Koch, V. Mirvoda, and D. Sandel, in Proceedings of the IEEE/OSA Optical Fiber Conference (2010), paper OThJ1.

Savory, S.

Seimetz, M.

R. Freund, D. Groß, M. Seimetz, L. Molle, and C. Caspar, in Proceedings of the IEEE/OSA Optical Fiber Conference (2008), paper OMI5.

Tran, P.

Welch, G.

G. Welch and G. Bishop, “An introduction to the Kalman filter,” Tech. Rep. TR 95-041 (University of North Carolina at Chapel Hill, Department of Computer Science, 2004).

J. Lightwave Technol.

Opt. Express

Other

G. Welch and G. Bishop, “An introduction to the Kalman filter,” Tech. Rep. TR 95-041 (University of North Carolina at Chapel Hill, Department of Computer Science, 2004).

R. Noé, B. Koch, V. Mirvoda, and D. Sandel, in Proceedings of the IEEE/OSA Optical Fiber Conference (2010), paper OThJ1.

R. Freund, D. Groß, M. Seimetz, L. Molle, and C. Caspar, in Proceedings of the IEEE/OSA Optical Fiber Conference (2008), paper OMI5.

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 (3)

Fig. 1
Fig. 1

Simplified Kalman filter block diagram.

Fig. 2
Fig. 2

Measurement of aligned polarization-multiplexed 40 Gb / s QPSK signal. (a) Kalman filter input. (b) Kalman filter estimated carrier phase θ ( t ) . (c) Demodulated signal at the Kalman filter output after carrier phase correction.

Fig. 3
Fig. 3

Simulation of evolving polarization-multiplexed 40 Gb / s QPSK with 6.8 M rad / s polarization evolution. (a) Kalman filter input. (b) Kalman-estimated a, b, c, and d state variables. (c) Demodulated signal after carrier phase and polarization transformation correction.

Equations (11)

Equations on this page are rendered with MathJax. Learn more.

S i = A S i 1 ,
P i = A P i 1 A T + Q ,
K i = P i M i T ( M i P i M i T + R ) 1 ,
S i = S i + K i ( Z c i h i ) ,
P i = P i K i M i P i .
M j k | i = h j S k .
[ H V ] e j ω t = [ a H e j φ H a V e j φ V ] e j ω t ,
[ X Y ] e j ( Δ ω t ) = a X Y J ( t ) [ H V ] e j ( Δ ω t ) e j θ ( t ) ,
e j θ [ a X Y J ] 1 [ X Y ] = e j θ [ a + j b c + j d c + j d a j b ] [ X Y ] ,
e i θ [ X j X Y j Y j a X b X + j c Y d Y Y j Y X j X j c X d X + j a Y + b Y ] ,
[ e j ( π 4 + n H π 2 ) e j ( π 4 + n V π 2 ) ] T ,

Metrics