Introduction to the concept of nonlinear diffusion bandwidth

Louchet, Hadrien; Petermann, K.; Robinson, Andrew; Epworth, R.E.

doi:10.1049/cp:20050590

Cited by 4 publications

(6 citation statements)

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“…In Fig. 8, we show the behavior of the four elements of matrix versus , with being the nonlinear diffusion bandwidth (with minor differences from the definition in [36]), i.e., the 3-dB bandwidth of the kernel . The system had .…”

Section: Small-signal Analysismentioning

confidence: 99%

“…From (25), at , the IM-IM filter is , with . At small , i.e., small , , whose inverse Fourier transform is (36) with the sign for and the sign for . We verified (36) to match well with the shown small-signal response to the delta spike.…”

Section: B Memory Of the Optical Linkmentioning

confidence: 99%

“…At small , i.e., small , , whose inverse Fourier transform is (36) with the sign for and the sign for . We verified (36) to match well with the shown small-signal response to the delta spike. The impulse response dies away in slightly more than 3 time constants, i.e., over a time window of , as we verify from the figure, and consistently with twice the value of the duration of the perturbation in the large-signal step response reported in Fig.…”

Section: B Memory Of the Optical Linkmentioning

confidence: 99%

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A Unified Design Framework for Single-Channel Dispersion-Managed Terrestrial Systems

Bononi

Serena

Orlandini

2008

J. Lightwave Technol.

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Abstract-This paper provides a unified framework to the design, performance optimization, and accurate numerical simulation of periodic, dispersion-managed (DM) single-channel long-haul optical transmission systems for nonsoliton on-off keying (OOK) modulation. The focus is on DM terrestrial systems, with identical spans composed of a long transmission fiber compensated at the span end by a linear dispersion compensating module, with pre-and postcompensation fibers at the beginning and end of the link. The framework is based on the dispersion-managed nonlinear Schrödinger equation (DM-NLSE). First, expressions of the DM-NLSE kernel are provided both in the frequency and the time domain, and a novel map strength parameter, appropriate for terrestrial systems, is introduced. It is then shown that the DM-NLSE contains all the basic information needed for system design, as summarized by three parameters: i) nonlinear phase, ii) in-line dispersion, and iii) map strength. Through a large-signal perturbative analysis of the DM-NLSE, the well-known linear relationship between the in-line dispersion and the optimal precompensation is derived, along with the large-signal step response of the DM link, from which the ghost pulses energy growth and a first estimation of the link memory are derived. The DM-NLSE is then linearized around the average signal field to get the amplitude/phase small-signal system matrix of the overall DM link, including pre-and postcompensation. By a singular-value decomposition of the small-signal DM link matrix, a novel expression of the memory of the optimized DM link is finally provided. Knowledge of such a memory is mandatory to run accurate numerical simulations and laboratory measurements with a sufficiently long pseudorandom bit sequence to avoid patterning effects.Index Terms-Dispersion-managed nonlinear Schrödinger equation, optical fiber memory, perturbation methods, pseudorandom binary sequence (PRBS) length, small-signal analysis.

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Section: Small-signal Analysismentioning

confidence: 99%

Section: B Memory Of the Optical Linkmentioning

confidence: 99%

Section: B Memory Of the Optical Linkmentioning

confidence: 99%

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A Unified Design Framework for Single-Channel Dispersion-Managed Terrestrial Systems

Bononi

Serena

Orlandini

2008

J. Lightwave Technol.

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“…It is clear that the CMA cannot have zero error even after perfect equalization. We should also mention that, a decision-assisted CMA [13] has been proposed recently for polarization de-multiplexing of PDM-16-QAM signal. In principle this algorithm is also applicable for 8-QAM.…”

Section: Owg3pdfmentioning

confidence: 99%

Cascaded two-modulus algorithm for blind polarization de-multiplexing of 114-Gb/s PDM-8-QAM optical signals

Zhou

Yu²,

Magill

2009

Optical Fiber Communication Conference and National Fiber Optic Engineers Conference

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“…The residual procedure of the proposed algorithm in 8 can be adopted w/o any modification. Due to the constellation of 16QAM, the m th -power of signal for the phase estimation can only be used with the constellation constraint and the performance is hence degraded 10 . In this paper, we apply a decision-directed algorithm for CPE of 16QAM.…”

Section: Carrier Phase Estimation (Cpe)mentioning

confidence: 99%

Nonlinearity mitigation with carrier phase estimation for coherent receivers with higher-order modulation formats

Piyawanno¹,

Kuschnerov²,

Spinnler

et al. 2009

2009 IEEE LEOS Annual Meeting Conference Proceedings

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We investigate the nonlinearity mitigation with carrier phase estimation for coherent PolMux-16QAM and PolMux-16ASK-PSK using carrier phase estimation. The performance is demonstrated for various transmission rates, neighbor channels as well as compensated and uncompensated links. IntroductionDue to the spectral efficiency and the feasibility of linear equalization, coherent detection with high-order modulation formats attract more and more attention. The transmission of polarization-multiplexed (PolMux) 16-ary quadrature amplitude modulation (16QAM) 1,2 and PolMux 16-ary amplitude and phase shift keying (16ASK-PSK) 3,4 has been experimentally demonstrated.With these higher-order modulation formats, the nonlinearity induced cross-phase modulation (XPM) and self-phase modulation (SPM) is increased due to the higher peak-to-average power ratio (PAPR). The phase variation caused by nonlinearity becomes the limiting effect on the transmission distance and performance. In this paper, we demonstrate the nonlinearity mitigation using a proposed and a wellknown carrier phase estimation (CPE). The nonlinear tolerance effect of dispersion-managed (DM) and nondispersion-managed (NDM) links, increasing symbol rate and varying modulation formats for the central and neighbor channels is demonstrated.

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Introduction to the concept of nonlinear diffusion bandwidth

Cited by 4 publications

References 0 publications

A Unified Design Framework for Single-Channel Dispersion-Managed Terrestrial Systems

A Unified Design Framework for Single-Channel Dispersion-Managed Terrestrial Systems

Cascaded two-modulus algorithm for blind polarization de-multiplexing of 114-Gb/s PDM-8-QAM optical signals

Nonlinearity mitigation with carrier phase estimation for coherent receivers with higher-order modulation formats

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