Optical implementation of a space–time-trellis code for enhancing the tolerance of systems to polarization-dependent loss

Andrusier, Anton; Meron, Eado; Feder, Meir; Shtaif, Mark

doi:10.1364/ol.38.000118

Cited by 12 publications

(3 citation statements)

References 8 publications

(15 reference statements)

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“…We point out that the decoding complexity is quite reduced with the use of OFDM at the cost of an increased overhead. PT coding could have been implemented in a single-carrier context with time domain equalization [15,16]. However, multi-taps channel matrices would be required increasing the decoding complexity.…”

Section: Receiver Sidementioning

confidence: 99%

Polarization-time coding for PDL mitigation in long-haul PolMux OFDM systems

Awwad¹,

Jaouën²,

Othman³

2013

Opt. Express

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In this paper, we present a numerical, theoretical and experimental study on the mitigation of Polarization Dependent Loss (PDL) with Polarization-Time (PT) codes in long-haul coherent optical fiber transmissions using Orthogonal Frequency Division Multiplexing (OFDM). First, we review the scheme of a polarization-multiplexed (PolMux) optical transmission and the 2 × 2 MIMO model of the optical channel with PDL. Second, we introduce the Space-Time (ST) codes originally designed for wireless Rayleigh fading channels, and evaluate their performance, as PT codes, in mitigating PDL through numerical simulations. The obtained behaviors and coding gains are different from those observed on the wireless channel. In particular, the Silver code performs better than the Golden code and the coding gains offered by PT codes and forward-error-correction (FEC) codes aggregate. We investigate the numerical results through a theoretical analysis based on the computation of an upper bound of the error probability of the optical channel with PDL. The derived upper bound yields a design criterion for optimal PDL-mitigating codes. Furthermore, a transmission experiment of PDL-mitigation in a 1,000 km optical fiber link with inline PDL validates the numerical and theoretical findings. The results are shown in terms of Q-factor distributions. The mean Q-factor is improved with PT coding and the variance is also narrowed.

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Section: Receiver Sidementioning

confidence: 99%

Polarization-time coding for PDL mitigation in long-haul PolMux OFDM systems

Awwad¹,

Jaouën²,

Othman³

2013

Opt. Express

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“…These approaches were primarily disadvantaged with high cost, yet they cannot utterly eradicate the accumulated MDL in optical links [17]. Furthermore, the space-time trellis codes (STTC) were proposed to reduce the MDL, but they suffered from great complexity as well [18]. Henceforward, MDL is categorically another key challenge that needs to be triumphed for next-generation optical transmission systems.…”

Section: Introductionmentioning

confidence: 99%

Recent Advances in DSP Techniques for Mode Division Multiplexing Optical Networks with MIMO Equalization: A Review

2019

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This paper provides a technical review regarding the latest progress on multi-input multi-output (MIMO) digital signal processing (DSP) equalization techniques for high-capacity fiber-optic communication networks. Space division multiplexing (SDM) technology was initially developed to improve the demanding capacity of optic-interconnect links through mode-division multiplexing (MDM) using few-mode fibers (FMF), or core-multiplexing exploiting multicore fibers (MCF). Primarily, adaptive MIMO filtering techniques were proposed to de-multiplex the signals upon different modes or cores, and to dynamically compensate for the differential mode group delays (DMGD) plus mode-dependent loss (MDL) via DSP. Particularly, the frequency-domain equalization (FDE) techniques suggestively lessen the algorithmic complexity, compared with time-domain equalization (TDE), while holding comparable performance, amongst which the least mean squares (LMS) and recursive least squares (RLS) algorithms are most ubiquitous and, hence, extensively premeditated. In this paper, we not only enclose the state of the art of MIMO equalizers, predominantly focusing on the advantage of implementing the space–time block-coding (STBC)-assisted MIMO technique, but we also cover the performance evaluation for different MIMO-FDE schemes of DMGD and MDL for adaptive coherent receivers. Moreover, the hardware complexity optimization for MIMO-DSP is discussed, and a joint-compensation scheme is deliberated for chromatic dispersion (CD) and DMGD, along with a number of recent experimental demonstrations using MIMO-DSP.

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“…It is also able to equalize the OSNR difference between two polarizations; however, the performance improvement is limited because it does not fully utilize the coordinate diversity. The optical implementation of low-complexity space-time pre-coding [12] and disjoint receiver detection schemes [13] either provides limited system performance gain, or increases the system's hardware complexity.…”

Section: Introductionmentioning

confidence: 99%

Improved polarization dependent loss tolerance for polarization multiplexed coherent optical systems by polarization pairwise coding

Zhu¹,

Song²,

Corcoran³

et al. 2015

Opt. Express

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Polarization dependent loss (PDL) causes imbalanced optical signal to noise ratio (OSNR) of the two polarizations, thus remains one of the major bottlenecks for next-generation polarization-division-multiplexed (PDM) coherent optical transmission systems. In this paper, we investigate Pairwise Coding for adaptive PDL mitigation in PDM coherent optical systems. By pre-coding across two polarizations, the PDL-induced performance degradation can be largely mitigated without any coding overhead. We present details of the coding and de-coding design, and also derive the analytical symbol/bit error rate of the Polarization Pairwise Coding scheme, which can be used to predict the performance gain as well as for optimal rotation angle calculation. Simulation results verify that Pairwise Coding achieves substantial system performance gains over a wide range of PDL values. Compared with other digital coding techniques, Polarization Pairwise Coding shows improved performance than Walsh-Hadamard transform since it maximizes the coordinate diversity; and also Pairwise Coding is computationally much simpler to decode compared with the Golden and Silver Codes, therefore is practical for current 100-Gb/s and future 400-Gb/s and 1-Tb/s digital coherent transceivers.

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Optical implementation of a space–time-trellis code for enhancing the tolerance of systems to polarization-dependent loss

Cited by 12 publications

References 8 publications

Polarization-time coding for PDL mitigation in long-haul PolMux OFDM systems

Polarization-time coding for PDL mitigation in long-haul PolMux OFDM systems

Recent Advances in DSP Techniques for Mode Division Multiplexing Optical Networks with MIMO Equalization: A Review

Improved polarization dependent loss tolerance for polarization multiplexed coherent optical systems by polarization pairwise coding

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