Full-field feed-forward equalizer with adaptive system optimization
Introduction
Recently, the advance of high-speed microelectronics, such as 30 Gsamples/s analogue to digital converter (ADC) [1], has enabled the application of electronic dispersion compensation (EDC) in optical communication systems at 10 Gbit/s [2], [3], [4]. Compared to its optical counterpart, EDC is more flexible, easier to integrate into transmitters and receivers, and is expected to be more cost effective. Receiver-side EDC, which can adapt quickly to changes in link conditions, is of particular value for future transparent optical networks with many reconfigurable add- and drop-nodes. However, the performance of conventional EDC using direct detection (DD EDC) is limited due to loss of the phase information [2], [3]. EDC based on coherent detection achieves optimum performance theoretically, but requires additional tight-specification components such as narrow-linewidth local oscillator, and signal polarization and phase recovery [4], [5].
In contrast, direct-detection based full-field reconstruction, by extracting the intensity and instantaneous frequency information simultaneously using a single asymmetric Mach–Zehnder interferometer (AMZI) [6], [7], [8] or two AMZIs [9], [10], is a cost-effective approach. The recovered information allows for full-field chromatic dispersion (CD) compensation using electrical-domain signal processing. Full-field maximum likelihood sequence estimation [6] is optimal in compensation performance, but has exponentially increasing complexity with fiber length (or channel memory length), hindering its application to long distance transmission systems. Full-field EDC using a simple dispersive transmission line can enable 2000 km transmission [7]. However, it is based on static CD compensation. Furthermore, as will be shown in this paper, this method cannot mitigate other impairments such as sampling phase misalignment and its performance is sensitive to calculation inaccuracy in full-field reconstruction. Recently, we experimentally demonstrated the use of an adaptive feed-forward equalizer (FFE) to recover a 10 Gbit/s on–off keyed (OOK) signal after transmission over 500 km of field-installed single mode fiber (SMF) [8]. Whilst its feasibility was verified, this method has potential for longer distance transmission because the complexity is linearly scaled with distance. In this paper, we numerically investigate the performance limit of full-field FFE for adaptive dispersion compensation up to 2160 km. The capability of this technique to compensate inter-symbol interference (ISI) regardless of the impairment sources allows the simplification of field calculation structure and enhances the robustness to system parameters. We will show that full-field FFE exhibits greatly improved tolerance to the sampling phase misalignment and reduced sampling rate when compared to a full-field implementation using a fixed dispersive transmission line. Automatic controls of several EDC parameters are also enabled by the technique to further increase the potential for adaptive CD compensation.
Section snippets
Simulation model and principle
Fig. 1 represents the simulation model used in this paper, implemented using Matlab. Continuous wave light was intensity modulated by a 10 Gbit/s OOK data train using a Mach–Zehnder modulator (MZM). The data train consisted of a 211 − 1 pseudo-random binary sequence (PRBS) repeated nine times (18,423 bits). The electrical ‘1’ bits were raised-cosine shaped with a roll-off coefficient of 0.4 and were simulated using 40 samples per bit. The extinction ratio of the modulated OOK signal was set to be 12
Results and discussions
Fig. 2a shows the performance versus fiber length using a dispersive transmission line manually set to compensate 100% of the accumulated CD for each distance value (circles) and adaptive full-field FFE by initially setting the FFE coefficients to compensate 1080 km CD (triangles). Solid and dashed lines represent the cases using 2 samples/bit and 5 samples/bit ADCs. In the figure, the performances of full-field FFE for five and two samples per bit were almost the same (<0.2 dB), so only the curve
Conclusion
We have investigated full-field FFE in 10 Gbit/s OOK-based optical transmission systems for adaptive CD compensation. It is shown that this method can greatly enhance the robustness to the sampling phase misalignment and reduced sampling rate, and allow for the simplification of field calculation structure when compared to the dispersive transmission line method. Automatic optimization of system parameters is also enabled by the technique to further increase the potential for adaptive dispersion
Acknowledgments
This work was supported in part by Science Foundation Ireland under grant number 06/IN/I969 and in part by Enterprise Ireland under grant number CFTD/08/333.
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