Signal Statistics in Fiber-Optical Channels With Polarization Multiplexing and Self-Phase Modulation

Beygi, Lotfollah; Agrell, Erik; Karlsson, Magnus; Johannisson, Pontus

doi:10.1109/jlt.2011.2159777

Cited by 26 publications

(37 citation statements)

References 28 publications

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“…By neglecting the channel memory, closed-form input-output relations can be obtained. The analyses based on these models are applicable to optical systems with short-haul zero-dispersion fibers (see, for example [16]- [20]). Furthermore, many simplified models have been developed in the literature to approximate the NLS channel (see [21] and the references therein).…”

Section: Introductionmentioning

confidence: 99%

Demodulation and Detection Schemes for a Memoryless Optical WDM Channel

Keykhosravi

Tavana

Agrell

et al. 2018

IEEE Trans. Commun.

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It is well known that matched filtering and sampling (MFS) demodulation together with minimum Euclidean distance (MD) detection constitute the optimal receiver for the additive white Gaussian noise channel. However, for a general nonlinear transmission medium, MFS does not provide sufficient statistics, and therefore is suboptimal. Nonetheless, this receiver is widely used in optical systems, where the Kerr nonlinearity is the dominant impairment at high powers. In this paper, we consider a suite of receivers for a two-user channel subject to a type of nonlinear interference that occurs in wavelength-division-multiplexed channels. The asymptotes of the symbol error rate (SER) of the considered receivers at high powers are derived or bounded analytically. Moreover, Monte-Carlo simulations are conducted to evaluate the SER for all the Parts of this paper have been presented at nonlinearity gives rise to: i) self-phase modulation (SPM), where the signal phase is distorted depending on its own magnitude; ii) cross-phase modulation (XPM), where the magnitude of the signal transmitted over neighboring channels modulates the phase of the signal of interest; and iii) four-wave mixing (FWM), where three signals at different frequencies create a distortion at a new frequency. In this paper, we shall focus on the first two effects and assume that the impact of FWM (the third effect) is mitigated by appropriate channel spacing (see, for example, [5]). Many methods have been proposed, both in the optical and the electrical domains, to compensate for the fiber nonlinear distortion [6, Ch. 2]. Soliton-based communication [7] is among the primary solutions to mitigate the channel impairments including the nonlinearity. It is based on soliton pulses, which can propagate through the fiber undisturbed. In recent years, this method has received attention in the context of the nonlinear Fourier transform [8]. Inverting the signal's phase at the middle of the transmission line is another effective approach to reduce the nonlinear distortion [9].In the last decade, the advancement of digital signal processors (DSP) made them a key enabling technology for data transmission over the fiber-optical channel. A number of known nonlinearity mitigation techniques are based on DSPs, three of which are reviewed next. i) Digital back propagation [10] is a well-known method to compensate for the fiber impairments. Using this technique, all the signal-signal distortions can be compensated for by processing the signal at the transmitter, at the receiver, or at both ends. However, digital back propagation suffers from high computational complexity, and it requires knowledge of all copropagating channels. ii) The effects of XPM can be partially mitigated via adaptive equalization that utilizes the time coherency of the XPM distortions (see for example [11],[12]). iii) Using an approximate probability distribution for the channel law, one can devise nonlinearity-tailored detection techniques to improve the symbol error rate (SER) [13], [14]. The optica...

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Section: Introductionmentioning

confidence: 99%

Demodulation and Detection Schemes for a Memoryless Optical WDM Channel

Keykhosravi

Tavana

Agrell

et al. 2018

IEEE Trans. Commun.

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“…Unfortunately, this distribution is, in general, unknown. Exact statistical models in the absence of fiber dispersion have been studied in [4][5][6]. In the presence of dispersion, approximate models based on perturbation methods have been investigated in [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Signal-noise interaction in nonlinear optical fibers: a hydrodynamic approach

Barletti¹,

Secondini²

2015

Opt. Express

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Abstract:We present a new perturbative approach to the study of signal-noise interactions in nonlinear optical fibers. The approach is based on the hydrodynamic formulation of the nonlinear Schrödinger equation that governs the propagation of light in the fiber. Our method is discussed in general and is developed in more details for some special cases, namely the small-dispersion regime, the continuous-wave (CW) signal and the solitonic pulse. The accuracy of the approach is numerically tested in the CW case.

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“…4], [16] regimes. TCM was first proposed in [17] for fiber-optic systems with an 8-point cubic (three-dimensional) polarization-shift keying constellation.…”

Section: Introductionmentioning

confidence: 99%

Rate-Adaptive Coded Modulation for Fiber-Optic Communications

Beygi

Agrell

Kahn

et al. 2014

J. Lightwave Technol.

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Abstract-Rate-adaptive optical transceivers can play an important role in exploiting the available resources in dynamic optical networks, in which different links yield different signal qualities. We study rate-adaptive joint coding and modulation, often called coded modulation (CM), addressing non-dispersion-managed (non-DM) links, exploiting recent advances in channel modeling of these links. We introduce a four-dimensional CM scheme, which shows a better tradeoff between digital signal processing complexity and transparent reach than existing methods. We construct a rate-adaptive CM scheme combining a single low-density paritycheck code with a family of three signal constellations and using probabilistic signal shaping. We evaluate the performance of the proposed CM scheme for single-channel transmission through long-haul non-DM fiber-optic systems with electronic chromaticdispersion compensation. The numerical results demonstrate improvement of spectral efficiency over a wide range of transparent reaches, an improvement over 1 dB compared to existing methods.Index Terms-Fiber-optic communications, four-dimensional set partitioning, non-dispersion managed links, nonlinear channel model, probabilistic shaping, rate-adaptive coded modulation.

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Signal Statistics in Fiber-Optical Channels With Polarization Multiplexing and Self-Phase Modulation

Cited by 26 publications

References 28 publications

Demodulation and Detection Schemes for a Memoryless Optical WDM Channel

Demodulation and Detection Schemes for a Memoryless Optical WDM Channel

Signal-noise interaction in nonlinear optical fibers: a hydrodynamic approach

Rate-Adaptive Coded Modulation for Fiber-Optic Communications

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