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Electronic post-compensation of WDM transmission impairments using coherent detection and digital signal processing

Xiaoxu Li, Xin Chen, Gilad Goldfarb, Eduardo Mateo, Inwoong Kim, Fatih Yaman, and Guifang Li

Open Access Open Access

Abstract

A universal post-compensation scheme for fiber impairments in wavelength-division multiplexing (WDM) systems is proposed based on coherent detection and digital signal processing (DSP). Transmission of 10×10 Gbit/s binary-phase-shift-keying (BPSK) signals at a channel spacing of 20 GHz over 800 km dispersion shifted fiber (DSF) has been demonstrated numerically.

©2008 Optical Society of America

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Figures (6)
Fig. 1.
Fig. 1. WDM system with fiber dispersion and nonlinearity compensation using coherent detection and DSP. Optical path: black line; Electrical path: blue line; OM: optical modulator; EDFA: Erbium-doped fiber amplifier.

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Fig. 2.
Fig. 2. Diagram of backward propagation for a multi-span fiber link. L: span number; N: step number per span.

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Fig 3.
Fig 3. Block diagram of parallel implementation for backward propagation using DSP technique. The hollow arrows represent multiple inputs or outputs and the solid arrows represent single input or output.

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Fig 4.
Fig 4. Block diagram of the sub-unit Mk in the kth branch in backward propagation. The inputs and outputs terminated by a circle may interface with other branches. The dashed lines only apply to some modules. p·T is the delay of FIR filter, and q·T is the delay of inverse nonlinear operator 1.

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Fig. 5.
Fig. 5. Eye diagrams of the 5th WDM channel: a) at back-to-back, b) after 500 km transmission over DSF without ENLC, c) after 500 km transmission over DSF with ENLC, d) after 800 km transmission over DSF with ENLC.

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Fig. 6.
Fig. 6. Calculated Q-factor of the 5th WDM channel vs. the average launching power.

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Equations (4)

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N ̂ − 1 = iγ ′ ∣ A ∣ 2 , D ̂ − 1 = − i β 2 ′ 2 ∂ 2 ∂ T 2 + β 3 ′ 6 ∂ 3 ∂ T 3 − α ′ 2
r n = r ( t = n M · F s ) = ∑ i = 0 N c − 1 s i , k ( n ) · e j · 2 · π · i − N c − 1 2 M
A ( z + h , T ) ≈ exp ( h 2 D ̂ − 1 ) exp ( ∫ z z + h N ̂ − 1 ( z ′ ) dz ′ ) exp ( h 2 D ̂ − 1 ) A ( z , t )
∫ z z + h N ̂ − 1 ( z ′ ) dz ′ ≈ h 2 [ N ̂ − 1 ( z ) + N ̂ − 1 ( z + h ) ]
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