Abstract

We investigate numerically the usefulness of Turbo and Reed-Solomon coding in the presence of Polarization-Mode Dispersion (PMD) using computer simulations. It is demonstrated that for a fixed level of PMD and a fixed data-rate, there is an optimal code overhead. This is in contrast to the case of negligible PMD, where high overhead codes perform best.

© 2004 Optical Society of America

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References

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  1. H. Sunnerud, M. Karlsson, C. Xie, P.A. Andrekson, �??Polarization-Mode Dispersion in High-Speed Fiber-Optic Transmission Systems,�?? J. Lightwave Technol. 20, 2204-2219, (2002).
    [CrossRef]
  2. I. P. Kaminow, T. Li, Optical Fiber Telecommunications IV �?? B: Systems and Impairments, 1st ed., (Academic Press, 2002).
  3. ITU G.709, Interface for the Optical Transport Network, (2001).
  4. H. Sunnerud, C. Xie, M. Karlsson, R. Samuelsson, and P. A. Andrekson, �??A Comparison Between Different PMD Compensation Techniques,�?? J. Lightwave Technol. 20, 368-378, (2002).
    [CrossRef]
  5. J. Yan, K. Xu, M. Chen, J. Feng, Y. Dai, Y. Dong, S. Xie, and B. Zhou, �??Performance Evaluation of Systems Using a Novel Adjustable First-Order PMD Compensator and Forward Error Correction,�?? Opt. Commun. 218, 49-54 (2003).
  6. Z. Zhu, H. Sadjadpour, R. Blum, P.A. Andrekson, �??Signal Processing on PMD SIMO Channels,�?? In Proceedings of OFC 2004, MF65, September (2004).
  7. M. Ferrari, F. Osnato, M. Siti, S. Valle and S. Bellini, �??Performance of concatenated Reed-Solomon and turbo codes with non ideal interleaving,�?? IEEE Global Telecommunications Conference, 2, 911 �?? 915, November (2001).

IEEE Global Telecommunications Conferenc

M. Ferrari, F. Osnato, M. Siti, S. Valle and S. Bellini, �??Performance of concatenated Reed-Solomon and turbo codes with non ideal interleaving,�?? IEEE Global Telecommunications Conference, 2, 911 �?? 915, November (2001).

J. Lightwave Technol.

OFC

Z. Zhu, H. Sadjadpour, R. Blum, P.A. Andrekson, �??Signal Processing on PMD SIMO Channels,�?? In Proceedings of OFC 2004, MF65, September (2004).

Opt. Commun.

J. Yan, K. Xu, M. Chen, J. Feng, Y. Dai, Y. Dong, S. Xie, and B. Zhou, �??Performance Evaluation of Systems Using a Novel Adjustable First-Order PMD Compensator and Forward Error Correction,�?? Opt. Commun. 218, 49-54 (2003).

Other

I. P. Kaminow, T. Li, Optical Fiber Telecommunications IV �?? B: Systems and Impairments, 1st ed., (Academic Press, 2002).

ITU G.709, Interface for the Optical Transport Network, (2001).

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Figures (6)

Fig. 1.
Fig. 1.

BER vs. SNR in absence of PMD for Turbo codes in a PMD channel with DGD = 55.2ps.

Fig. 2.
Fig. 2.

BER vs. SNR in absence of PMD for RS codes in a PMD channel with DGD = 55.2ps.

Fig. 3.
Fig. 3.

BER vs. SNR in absence of PMD for Turbo codes in a PMD channel with DGD = 0ps.

Fig. 4.
Fig. 4.

BER vs. SNR in absence of PMD for Turbo codes in a PMD channel with DGD = 103ps.

Fig. 5.
Fig. 5.

BER vs. SNR in absence of PMD for RS codes in a PMD channel with DGD = 103ps.

Fig. 6.
Fig. 6.

Minimum required SNR to reach BER = 10-4 vs. overhead for different amounts of DGD. The dotted lines represent the uncoded SNR required for the three DGD levels, increasing from bottom to top.

Equations (3)

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T ( ω ) = U ( α N ) [ e j τ N ω 2 0 0 e j τ N ω 2 ] U ( α N 1 ) [ e j τ N 1 ω 2 0 0 e j τ N 1 ω 2 ] U ( α N 2 ) U ( α 1 ) [ e j τ 1 ω 2 0 0 e j τ 1 ω 2 ] U ( α 0 )
U ( α i ) = [ cos ( α i ) sin ( α i ) sin ( α i ) cos ( α i ) ]
BER = 1 2 erfc ( SNR 2 2 )

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