Performance Prediction of Nonbinary Forward Error Correction in Optical Transmission Experiments

Schmalen, Laurent; Alvarado, Alex; Rios-Müller, Rafael

doi:10.1109/jlt.2016.2609932

Cited by 54 publications

(52 citation statements)

References 67 publications

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“…The error probability after FEC can often be accurately predicted by considering the MI and GMI. Consider for example the complex AWGN channel, the NB-LDPC codes from [20], and three different 8QAM constellations from [20, for this NB-CM scheme are shown in Fig. 5, where different markers represent different modulation formats and the asymptotic decoding thresholds are shown as dashed vertical lines.…”

Section: Example 3 (Post-fec Performance Prediction)mentioning

confidence: 99%

“…MI vs. SNR for all 2D complex (4D real) constellations in [67]. The capacity of the AWGN channel in (20) is also shown (thick solid line). mated as…”

Section: Corollary 3 (Monte-carlo Approximations)mentioning

confidence: 99%

“…Note that the block lengths of the LDPC and polar coding schemes are chosen as significantly different MI (solid) and GMI (dashed) vs. SNR for the 2D complex AWGN channel and 256QAM (maximum spectral efficiency of 16 bit/sym). The capacity of the AWGN channel in(20) is also shown (thick solid line). The results obtained using polar codes are shown with markers.…”

mentioning

confidence: 99%

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Achievable Information Rates for Fiber Optics: Applications and Computations

Alvarado

Fehenberger

Chen

et al. 2018

J. Lightwave Technol.

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171

103

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In this paper, achievable information rates (AIR) for fiber optical communications are discussed. It is shown that AIRs such as the mutual information and generalized mutual information are good design metrics for coded optical systems. The theoretical predictions of AIRs are compared to the performance of modern codes including low-parity density check (LDPC) and polar codes. Two different computation methods for these AIRs are also discussed: Monte-Carlo integration and Gauss-Hermite quadrature. Closed-form ready-to-use approximations for such computations are provided for arbitrary constellations and the multidimensional AWGN channel. The computation of AIRs in optical experiments and simulations is also discussed.

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Section: Example 3 (Post-fec Performance Prediction)mentioning

confidence: 99%

“…MI vs. SNR for all 2D complex (4D real) constellations in [67]. The capacity of the AWGN channel in (20) is also shown (thick solid line). mated as…”

Section: Corollary 3 (Monte-carlo Approximations)mentioning

confidence: 99%

mentioning

confidence: 99%

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Achievable Information Rates for Fiber Optics: Applications and Computations

Alvarado

Fehenberger

Chen

et al. 2018

J. Lightwave Technol.

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171

103

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“…In particular, hard detection does not imply HDD: Even if hard detection is performed, the channel transition probabilities of the resulting DMC are soft information that can be exploited by a SDD. As explained in [24], the hard-detector channel-aware decoder that implements the decoding rule (2) can be implemented by computing loglikelihood ratios based on the channel transition probabilities of the resulting DMC and feeding them to a conventional soft decision decoder. However, the decoding complexity is then the same as that of SDD.…”

Section: B Coded Modulation With Symbol-wise Hard-detection Channel-mentioning

confidence: 99%

Achievable Information Rates for Coded Modulation With Hard Decision Decoding for Coherent Fiber-Optic Systems

Sheikh

Amat

Liva

2017

J. Lightwave Technol.

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Abstract-We analyze the achievable information rates (AIRs) for coded modulation schemes with QAM constellations with both bit-wise and symbol-wise decoders, corresponding to the case where a binary code is used in combination with a higherorder modulation using the bit-interleaved coded modulation (BICM) paradigm and to the case where a nonbinary code over a field matched to the constellation size is used, respectively. In particular, we consider hard decision decoding, which is the preferable option for fiber-optic communication systems where decoding complexity is a concern. Recently, Liga et al. analyzed the AIRs for bit-wise and symbol-wise decoders considering what the authors called hard decision decoder which, however, exploits soft information of the transition probabilities of discrete-input discrete-output channel resulting from the hard detection. As such, the complexity of the decoder is essentially the same as the complexity of a soft decision decoder. In this paper, we analyze instead the AIRs for the standard hard decision decoder, commonly used in practice, where the decoding is based on the Hamming distance metric. We show that if standard hard decision decoding is used, bit-wise decoders yield significantly higher AIRs than symbol-wise decoders. As a result, contrary to the conclusion by Liga et al., binary decoders together with the BICM paradigm are preferable for spectrally-efficient fiberoptic systems. We also design binary and nonbinary staircase codes and show that, in agreement with the AIRs, binary codes yield better performance.

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“…The error probability after FEC can be accurately predicted by considering the MI and GMI, for NB-SD-FEC and B-SD-FEC, resp. Consider for example an AWGN channel, the NB-LDPC codes from [5] , and 64QAM). In this case the decoder is binary and the normalized GMI is the quantity that correctly predicts the post-FEC BER for all modulation formats (different markers).…”

Section: Airs As a System Performance Metricmentioning

confidence: 99%