Low Complexity Digital Perturbation Back-propagation

Yan, Weizhen; Tao, Zhenning; Li, Dou; Li, Lei; Oda, Shunri; Tanimura, Takahito; Hoshida, Takeshi; Rasmussen, Jens C.

doi:10.1364/ecoc.2011.tu.3.a.2

Cited by 48 publications

(19 citation statements)

References 4 publications

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“…Hence, DBP is often used to benchmark schemes proposed in the literature [4]- [16]. The assumed optimality of DBP has spurred intense research in low-complexity variations, including iterative symmetric SSFM [3], [7], noniterative asymmetric SSFM [2], weighted DBP [4], perturbation DBP [5], [8], and filtered DBP [9], [16]. The robustness of DBP has also been studied extensively for various scenarios in [10]- [15].…”

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confidence: 99%

Stochastic Digital Backpropagation

Irukulapati

Wymeersch

Johannisson

et al. 2014

IEEE Trans. Commun.

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In this paper, we propose a novel detector for singlechannel long-haul coherent optical communications, termed stochastic digital backpropagation (SDBP), which takes into account noise from the optical amplifiers in addition to handling deterministic linear and nonlinear impairments. We discuss the design approach behind this detector, which is based on the maximum a posteriori (MAP) principle. As closed-form expressions of the MAP detector are not tractable for coherent optical transmission, we employ the framework of Bayesian graphical models, which allows a numerical evaluation of the proposed detector. Through simulations, we observe that by accounting for nonlinear signal-noise interactions, we achieve a significant improvement in system reach with SDBP over digital backpropagation (DBP) for systems with periodic inline optical dispersion compensation. In uncompensated links with high symbol rates, the performance difference in terms of system reach for SDBP over DBP is small. In the absence of noise, the proposed detector is equivalent to the well-known DBP detector.

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confidence: 99%

Stochastic Digital Backpropagation

Irukulapati

Wymeersch

Johannisson

et al. 2014

IEEE Trans. Commun.

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“…In Fig. 7(a) and (b), LDBP SCM with XPolM compensation is also plotted, which is denoted as LDBP XPolM SCM [22]. Compared with LDBP XPolM SCM, ADBP has a better performance at the large step size because of the reduced CD impact.…”

Section: B Dbp With Different Step Sizesmentioning

confidence: 99%

“…As for the nonlinear section, compared to LDBP, it requires an additional complexity for the cross polarization term calculation. Furthermore, since the coupling factor between the two polarizations is different [22], nonlinear phase correction terms at the two polarizations are different, requiring extra complexities. As a result, we show the complex multiplications per sample as a function of the step size in Fig.…”

Section: B Dbp With Different Step Sizesmentioning

confidence: 99%

XPM Model-Based Digital Backpropagation for Subcarrier-Multiplexing Systems

Zhang

Zhuge

Qiu

et al. 2015

J. Lightwave Technol.

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Abstract-An advanced digital backpropagation (ADBP) algorithm is proposed to compensate fiber nonlinearities in subcarrier-multiplexing (SCM) systems. We derive the analytical expression and describe the implementation of the ADBP. In addition, the computational complexity of the ADBP as well as the conventional low-pass filter assisted DBP (LDBP) is analyzed and compared. In a 34.94 Gbaud/s single channel SCM transmission experiment, we demonstrate that the proposed ADBP with only two steps (40 spans/step for QPSK at 6400 km and 16 spans/step for 16QAM at 2560 km) has a comparable performance to the LDBP algorithm with 40 steps (2 spans/step) for QPSK and 8 steps (4 spans/step) for 16QAM, respectively. Moreover, compared to single carrier (SC) systems using only linear compensation (LC), the ADBP algorithm with 40 spans/step for QPSK and 16 spans/step for 16QAM can extend the maximum reach by 49.7% and 27.3% for the two formats, respectively. The contribution to the reach extension consists of 19.7% and 23.6% which are attributable to the nonlinear compensation algorithm when compared to SCM systems using LC for QPSK and 16QAM, respectively. The remainder of the improvements are attributable to the use of the SCM scheme. Finally, simulations of 60 Gbaud/s systems show additional improvements using the ADBP schemes compared to the LDBP schemes, indicating the benefits of ADBP in future high capacity optical transmission systems. IndexTerms-Subcarrier-multiplexing system, digital backpropagation, fiber nonlinearity, coherent transmission.

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“…BERs were averaged out of 10 data sets with different polarization combinations in back-to-back and after 5-, 10-, and 15-span transmission and ASE loading. In each SC BERs were measured by off-line based digital coherent receiver after PBP algorithms [7].…”

Section: Experimental Demonstrationmentioning

confidence: 99%

“…In this paper, to enhance the reachability further, we propose to combine the SPP and nonlinear compensation (NLC) technologies with DSP, such as perturbation back-propagation (PBP) [7]. This proposed method helps mitigating not only optical NLXT but also intra-SC nonlinearity (NL).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear mitigation technique using subcarrier power pre-emphasis and digital nonlinear compensation in superchannel transmission

Yamauchi

Vassilieva

Oda

et al. 2015

2015 European Conference on Optical Communication (ECOC)

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Fig. 1: Schematic diagram of (a) combined nonlinear mitigation method in multi-degree reconfigurable optical add/drop multiplexer (MD-ROADM) nodes based optical network (b) optical power spectrum and penalty in conventional superchannel transmission, (c) with subcarrier power pre-emphasis, and (d) with the combined nonlinear mitigation.Abstract We propose combined nonlinear mitigation technique for superchannel transmission. We experimentally demonstrate 3.1 dB performance improvement by optimizing subcarrier power preemphasis and applying digital nonlinear compensator with perturbation back-propagation algorithm for four-subcarrier DP-QPSK superchannel in 900 km dispersion-uncompensated transmission.

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Low Complexity Digital Perturbation Back-propagation

Abstract: A novel back-propagation algorithm is proposed based on perturbation analysis to compensate the intra-channel nonlinearity. It reduces 85% back-propagation stages in an experiment of dual polarization QPSK transmission over 1500 km dispersion uncompensated link.

Cited by 48 publications

References 4 publications

Stochastic Digital Backpropagation

Stochastic Digital Backpropagation

XPM Model-Based Digital Backpropagation for Subcarrier-Multiplexing Systems

Nonlinear mitigation technique using subcarrier power pre-emphasis and digital nonlinear compensation in superchannel transmission

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