Experimental Comparison of Probabilistic Shaping Methods for Unrepeated Fiber Transmission

Renner, Julian; Fehenberger, Tobias; Yankov, Metodi P.; Ros, Francesco Da; Forchhammer, Søren; Böcherer, Georg; Hanik, Norbert

doi:10.1109/jlt.2017.2752243

Cited by 79 publications

(64 citation statements)

References 34 publications

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“…Since the size of these intervals depends on previous steps, AC is an inherently sequential algorithm that, in the worst case, is serial in the number of input elements, which is k for mapping and n for mapping. 3 Within each serially executed AC operation, the number and complexity of computations to be performed varies as it depends on the specific interval boundaries.…”

Section: Input Length and Rate Lossmentioning

confidence: 99%

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Parallel-Amplitude Architecture and Subset Ranking for Fast Distribution Matching

Fehenberger

Millar

Koike‐Akino

et al. 2020

IEEE Trans. Commun.

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A distribution matcher (DM) maps a binary input sequence into a block of nonuniformly distributed symbols. To facilitate the implementation of shaped signaling, fast DM solutions with high throughput and low serialism are required. We propose a novel DM architecture with parallel amplitudes (PA-DM) for which m−1 component DMs, each with a different binary output alphabet, are operated in parallel in order to generate a shaped sequence with m amplitudes. With negligible rate loss compared to a single nonbinary DM, PA-DM has a parallelization factor that grows linearly with m, and the component DMs have reduced output lengths. For such binary-output DMs, a novel constant-composition DM (CCDM) algorithm based on subset ranking (SR) is proposed. We present SR-CCDM algorithms that are serial in the minimum number of occurrences of either binary symbol for mapping and fully parallel in demapping. For distributions that are optimized for the additive white Gaussian noise (AWGN) channel, we numerically show that PA-DM combined with SR-CCDM can reduce the number of sequential processing steps by more than an order of magnitude, while having a rate loss that is comparable to conventional nonbinary CCDM with arithmetic coding.

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Section: Input Length and Rate Lossmentioning

confidence: 99%

“…PAS enables significant shaping gains and rate adaptivity for a fixed-rate FEC. It has been used in many different communication settings, such as the optical channel [2], [3], in fiber transmission [4] and transatlantic field trials [5], for orthogonal frequency-division multiplexing [6, Sec. IV], and polar coded modulation [7].…”

Section: Introductionmentioning

confidence: 99%

Parallel-Amplitude Architecture and Subset Ranking for Fast Distribution Matching

Fehenberger

Millar

Koike‐Akino

et al. 2020

IEEE Trans. Commun.

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“…Here, in order to increase the comprehensiveness of the results, we also evaluate the PS-32-QAM format -built by pruning the previously defined PS-64-QAM constellation -and the PS-16-QAM format, with amplitudes ±(2i + 1), i = 0, 1. The results are and N = 500, given by (12). Note that λ = 0 corresponds to a uniform constellation.…”

Section: Figs 3(a) and 3(b)mentioning

confidence: 99%

“…The BPS is implemented with 60 test phases. If left uncompensated, the occurrence of cycle slips in simulations with phase noise would disturb the estimation of the MI, which in this paper is based on the method used in [12]. For this reason, we apply a supervised cycle slip compensation method that rotates every symbol at the output of BPS by multiples of π/2 to minimize the Euclidean distance to the corresponding transmitted symbol.…”

Section: B MI Performancementioning

confidence: 99%

Interplay of Probabilistic Shaping and the Blind Phase Search Algorithm

Mello

Barbosa

Reis

2018

J. Lightwave Technol.

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Probabilistic shaping (PS) is a promising technique to approach the Shannon limit using typical constellation geometries. However, the impact of PS on the chain of signal processing algorithms of a coherent receiver still needs further investigation. In this work we study the interplay of PS and phase recovery using the blind phase search (BPS) algorithm, which is widely used in optical communications systems. We first investigate a supervised phase search (SPS) algorithm as a theoretical upper bound on the BPS performance, assuming perfect decisions. It is shown that PS influences the SPS algorithm, but its impact can be alleviated by moderate noise rejection window sizes. On the other hand, BPS is affected by PS even for long windows because of correlated erroneous decisions in the phase recovery scheme. The simulation results also show that the capacity-maximizing shaping is near to the BPS worst-case situation for square-QAM constellations, causing potential implementation penalties.

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“…Notice that alternative ratedistortion methods (e.g., Blahut-Arimoto) to optimize the input pair (X, p X ) have been recently investigated. In [54] and [55], the mutual information is optimized within the framework of the EGN model [47], [56], [57] (the classical one-dimensional Gaussian model with non-linear noise discussed in the optical literature) or the split-step Fourier transform.…”

Section: Shaping and Optical Communicationsmentioning

confidence: 99%

Exploring and Experimenting With Shaping Designs for Next-Generation Optical Communications

Jardel

Eriksson

Méasson

et al. 2018

J. Lightwave Technol.

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A class of circular 64-QAM that combines 'geometric' and 'probabilistic' shaping aspects is presented. It is compared to square 64-QAM in back-to-back, single-channel, and WDM transmission experiments. First, for the linear AWGN channel model, it permits to operate close to the Shannon limits for a wide range of signal-to-noise ratios. Second, WDM simulations over several hundreds of kilometers show that the obtained signal-to-noise ratios are equivalent to -or slightly exceed -those of probabilistic shaped 64-QAM. Third, for real-life validation purpose, an experimental comparison with unshaped 64-QAM is performed where 28% distance gains are recorded when using 19 channels at 54.2 GBd. This again is in line -or slightly exceeds -the gains generally obtained with probabilistic shaping. Depending upon implementation requirements (core forward-error correcting scheme for example), the investigated modulation schemes may be key alternatives for next-generation optical systems.

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Experimental Comparison of Probabilistic Shaping Methods for Unrepeated Fiber Transmission

Abstract: The rate flexibility and probabilistic shaping gain of 4-dimensional signaling is experimentally tested for short-reach, unrepeated transmission. A rate granularity of 0.5 bits/QAM symbol is achieved with a distribution matcher based on a simple look-up table.

Cited by 79 publications

References 34 publications

Parallel-Amplitude Architecture and Subset Ranking for Fast Distribution Matching

Parallel-Amplitude Architecture and Subset Ranking for Fast Distribution Matching

Interplay of Probabilistic Shaping and the Blind Phase Search Algorithm

Exploring and Experimenting With Shaping Designs for Next-Generation Optical Communications

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