Channel coding for polarization-mode dispersion limited optical fiber transmission

Matthew Puzio; Zhenyu Zhu; Rick S. Blum; Peter A. Andrekson; Tiffany Li; Hamid R. Sadjadpour

doi:10.1364/OPEX.12.004333

Optics Express
Vol. 12,
Issue 18,
pp. 4333-4338
(2004)
•https://doi.org/10.1364/OPEX.12.004333

Channel coding for polarization-mode dispersion limited optical fiber transmission

Matthew Puzio, Zhenyu Zhu, Rick S. Blum, Peter A. Andrekson, Tiffany Li, and Hamid R. Sadjadpour

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Matthew Puzio, Zhenyu Zhu, Rick S. Blum, Peter A. Andrekson, Tiffany Li, and Hamid R. Sadjadpour, "Channel coding for polarization-mode dispersion limited optical fiber transmission," Opt. Express 12, 4333-4338 (2004)

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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.

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Fig. 1. BER vs. SNR in absence of PMD for Turbo codes in a PMD channel with DGD = 55.2ps.

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Fig. 2. BER vs. SNR in absence of PMD for RS codes in a PMD channel with DGD = 55.2ps.

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Fig. 3. BER vs. SNR in absence of PMD for Turbo codes in a PMD channel with DGD = 0ps.

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Fig. 4. BER vs. SNR in absence of PMD for Turbo codes in a PMD channel with DGD = 103ps.

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Fig. 5. BER vs. SNR in absence of PMD for RS codes in a PMD channel with DGD = 103ps.

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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.

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T (ω) = U (α_{N}) [\begin{matrix} e^{- \frac{j τ_{N} ω}{2}} & 0 \\ 0 & e^{\frac{j τ_{N} ω}{2}} \end{matrix}] U (α_{N - 1}) [\begin{matrix} e^{- \frac{j τ_{N - 1} ω}{2}} & 0 \\ 0 & e^{\frac{j τ_{N - 1} ω}{2}} \end{matrix}] U (α_{N - 2}) \dots U (α_{1}) [\begin{matrix} e^{- \frac{j τ_{1} ω}{2}} & 0 \\ 0 & e^{\frac{j τ_{1} ω}{2}} \end{matrix}] U (α_{0})

U (α_{i}) = [\begin{matrix} \cos (α_{i}) & \sin (α_{i}) \\ - \sin (α_{i}) & \cos (α_{i}) \end{matrix}]

BER = \frac{1}{2} erfc (\frac{\sqrt{SNR}}{2 \sqrt{2}})

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