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Polarization-Dependent Loss Mitigation via Orthogonal Design Precoding and Interference Cancellation

Mohannad Shehadeh, Frank R. Kschischang

TL;DR

The paper tackles polarization-dependent loss (PDL) in polarization-division multiplexed optical channels by applying orthogonal-design precoding and interference cancellation to approach capacity under a memoryless model with worst-case PDL characterized by $\alpha$. It extends the capacity-achieving scheme of Shehadeh and Kschischang to a practical 16-QAM setup with Chase decoding and introduces a single-code variant, $pD$, that obviates the need for two inner codes while preserving performance. Through simulations, the authors show that the original scheme remains effective up to a worst-case PDL of $6$ dB, but $pD$ provides a more practical alternative with comparable gains and simpler implementation; the complex-valued case behaves similarly to the real-valued case, validating the generality of the approach. The work also points to potential future directions, such as using spatially-coupled codes to realize universal performance and potentially removing precoding altogether.

Abstract

Recent work by Shehadeh and Kschischang provides a simple capacity-achieving scheme for channels with polarization-dependent loss (PDL) under common modeling assumptions via a careful choice of orthogonal-design-based precoding and interference cancellation. This letter extends that work with a simulation-based demonstration showing that this scheme remains highly effective at mitigating PDL in the highly practical setting of 16-QAM with Chase-decoded extended Hamming inner codes rather than the near-capacity inner codes considered in the original work. An alternative near-optimal variation of this scheme is also provided requiring only one inner code rather than two and suffering no penalty in the absence of PDL, making it much more practical.

Polarization-Dependent Loss Mitigation via Orthogonal Design Precoding and Interference Cancellation

TL;DR

The paper tackles polarization-dependent loss (PDL) in polarization-division multiplexed optical channels by applying orthogonal-design precoding and interference cancellation to approach capacity under a memoryless model with worst-case PDL characterized by . It extends the capacity-achieving scheme of Shehadeh and Kschischang to a practical 16-QAM setup with Chase decoding and introduces a single-code variant, , that obviates the need for two inner codes while preserving performance. Through simulations, the authors show that the original scheme remains effective up to a worst-case PDL of dB, but provides a more practical alternative with comparable gains and simpler implementation; the complex-valued case behaves similarly to the real-valued case, validating the generality of the approach. The work also points to potential future directions, such as using spatially-coupled codes to realize universal performance and potentially removing precoding altogether.

Abstract

Recent work by Shehadeh and Kschischang provides a simple capacity-achieving scheme for channels with polarization-dependent loss (PDL) under common modeling assumptions via a careful choice of orthogonal-design-based precoding and interference cancellation. This letter extends that work with a simulation-based demonstration showing that this scheme remains highly effective at mitigating PDL in the highly practical setting of 16-QAM with Chase-decoded extended Hamming inner codes rather than the near-capacity inner codes considered in the original work. An alternative near-optimal variation of this scheme is also provided requiring only one inner code rather than two and suffering no penalty in the absence of PDL, making it much more practical.

Paper Structure

This paper contains 10 sections, 10 equations, 3 figures.

Figures (3)

  • Figure 1: Simulation results for Schemes iZ, pZ, D, pD, and the scheme of jlt-pdl-me for $\alpha = 0$ and $\alpha = 0.599$ corresponding respectively to worst-case PDLs of $0$ dB and $6$ dB.
  • Figure 2: Simulation results for Schemes iZ, pZ, pD, and the scheme of jlt-pdl-me for $\alpha = 0$ and $\alpha = 0.599$ corresponding respectively to worst-case PDLs of $0$ dB and $6$ dB and in the case of a general strictly complex-valued channel.
  • Figure 3: Simulation results for Schemes iZ, pZ, pD, and the scheme of jlt-pdl-me for $\alpha = 0$ and $\alpha = 0.333$ corresponding respectively to worst-case PDLs of $0$ dB and $3$ dB and in the case of a general strictly complex-valued channel.