Efficient compensation of inter-channel nonlinear effects via digital backward propagation in WDM optical transmission

Mateo, Eduardo; Yaman, Fatih; Li, Guifang

doi:10.1364/oe.18.015144

Cited by 73 publications

(45 citation statements)

References 21 publications

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“…Consequently, the argument of the exponential operator is a purely imaginary value which is common to the two polarizations. Considering a 4th order Taylor expansion to evaluate the exponential operator in the nonlinear step, a total of 6N RMs (3/2N CMs) are required [25]. Finally, the A x/y exp(·) multiplication uses N CMs per polarization, yielding a total of MN = 5/2N CMs per polarization.…”

Section: Discussion On Computational Effort and Latencymentioning

confidence: 99%

Simplified Volterra Series Nonlinear Equalizer for Polarization-Multiplexed Coherent Optical Systems

Guiomar

Pinto

2013

J. Lightwave Technol.

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Starting from a previously proposed frequencydomain Volterra series nonlinear equalizer (VSNE), whose complexity evolves as O(N 3 ), with N being the frequency-domain block length, we derive a symmetric VSNE filter array formulation for polarization-multiplexed (PM) signals, whose full VSNE equivalent is up to 3× more computationally efficient, with zero performance penalty. By gradually reconstructing the third-order kernel from its column/diagonal components, the full VSNE can be reduced to a restrict set of N k frequency-domain filters, leading to O(N k N 2 ) complexity, associated with negligible performance loss. Finally, a simplified VSNE approach with invariant Kernel coefficients is proposed, delivering O(N k N ) complexity at the expense of controlled performance penalty. The proposed array of symmetric VSNE filters significantly increases the scalability of the previous matrix-based VSNE, providing a more flexible balance between performance and complexity, which can be freely adjusted to match the available computational resources. Performing a direct comparison between the simplified VSNE and the widely used split-step Fourier method in a long-haul 224 Gb/s PM-16QAM transmission system, we demonstrate a reduction of over 60% in terms of computational effort and 90% in terms of equalization latency.

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Section: Discussion On Computational Effort and Latencymentioning

confidence: 99%

Simplified Volterra Series Nonlinear Equalizer for Polarization-Multiplexed Coherent Optical Systems

Guiomar

Pinto

2013

J. Lightwave Technol.

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“…The impact of varying the step size in DBP has been investigated previously in [4][5][6][7] only for single channel DBP. In [18][19][20] this has been investigated for a simplified implementation of DBP, where interchannel nonlinearity was compensated coupling the reverse NLSE for each channel. However, in a transmission scenario where the channels are nearly symbol rate spaced, this may lead to a significant penalty compared to a full-field DBP where the phase relationship between channels is preserved and the entire spectrum is jointly backpropagated.…”

Section: Impact Of Dsp Parametersmentioning

confidence: 99%

“…In [18][19][20] the effect of the number of steps per span has been studied for a low-complexity version of multichannel DBP taking into account only incoherent nonlinear effects (SPM and XPM) for coarsely spaced WDM channels. In this paper we present the first quantitative study of the efficacy of multichannel DBP jointly considering parameters such as step size, sampling rate, PMD and the bandwidth of the backpropagated signal, for spectrally efficient Nyquist-spaced WDM channels.…”

Section: Introductionmentioning

confidence: 99%

On the performance of multichannel digital backpropagation in high-capacity long-haul optical transmission

Liga¹,

Xu²,

Alvarado³

et al. 2014

Opt. Express

111

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“…For next generation 400G/1T optical transmission systems, digital fiber nonlinear compensation is expected to further increase the transmission performance and channel capacity. There are many digital nonlinear compensation schemes that have been employed to mitigate fiber nonlinearities, such as digital backpropagation (DBP) [3]- [6], perturbation based nonlinear compensation [7]- [9], and frequency domain pulse shaping [10]. DBP has been widely investigated for the effective elimination of fiber nonlinear impairments.…”

Section: Introductionmentioning

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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Efficient compensation of inter-channel nonlinear effects via digital backward propagation in WDM optical transmission

Cited by 73 publications

References 21 publications

Simplified Volterra Series Nonlinear Equalizer for Polarization-Multiplexed Coherent Optical Systems

Simplified Volterra Series Nonlinear Equalizer for Polarization-Multiplexed Coherent Optical Systems

On the performance of multichannel digital backpropagation in high-capacity long-haul optical transmission

XPM Model-Based Digital Backpropagation for Subcarrier-Multiplexing Systems

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