Forward Error Correction for Optical Transponders

Amat, Alexandre Graell i; Schmalen, Laurent

doi:10.1007/978-3-030-16250-4_7

Cited by 14 publications

(14 citation statements)

References 161 publications

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“…where the construction of B π i−1 follows from either (7) or (2). As a result, each row of [B π * i−1 , B i ] is a valid codeword of C 1 .…”

Section: B Connections To Other Spatially Coupled Codesmentioning

confidence: 99%

“…}. In other words, any pair of error bits with their column positions b 1 and b 2 , respectively, are from the same erroneous row in Y π i while any pair of error bits with column positions b 3 and b 4 , respectively, are from the same erroneous row in Y i+1 due to the transformation in (2). Otherwise, those bits are correctable if they are not from the same component codeword.…”

Section: Error Floor Analysismentioning

confidence: 99%

“…We label two bits in B i , i.e., B i (3, 1)and B i (2, 4), in Fig.2(a) and mark their corresponding edges (VNs) in the Tanner graph with the same color in Fig.2(b). Note that the code structure and graph model in Fig.2are based on the transformation in(2). If a random permutation function in (7) is adopted, the bit label of each edge in Fig.2(b) will change while the connectivity between CNs remains unchanged.…”

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confidence: 99%

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Sub-Block Rearranged Staircase Codes

Qiu¹,

Yuan²

2022

Preprint

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We propose a new family of spatially coupled product codes, called sub-block rearranged staircase (SR-staircase) codes. Each SR-staircase code block is constructed by encoding rearranged preceding code blocks, where the rearrangement involves sub-blocks decomposition and transposition. The major advantage of the proposed construction over the conventional staircase construction is that it enables to employ stronger algebraic component codes to achieve better waterfall and error floor performance with lower miscorrection probability under low-complexity iterative bounded distance decoding (iBDD) while having the same code rate and similar blocklength as the conventional staircase codes. We characterize the decoding threshold of the proposed codes under iBDD by using density evolution and also derive the conditions under which they achieve a better decoding threshold than that of the conventional staircase codes. Further, we investigate the error floor performance by analyzing the contributing error patterns and their multiplicities. Both theoretical and simulation results show that SR-staircase codes outperform the conventional staircase codes in terms of waterfall and error floor while the performance can be further improved by using a large coupling width.

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“…where the construction of B π i−1 follows from either (7) or (2). As a result, each row of [B π * i−1 , B i ] is a valid codeword of C 1 .…”

Section: B Connections To Other Spatially Coupled Codesmentioning

confidence: 99%

Section: Error Floor Analysismentioning

confidence: 99%

mentioning

confidence: 99%

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Sub-Block Rearranged Staircase Codes

Qiu¹,

Yuan²

2022

Preprint

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“…In order to maximize throughput and transmission reach, powerful forward error correction (FEC) is necessary. Modern FEC schemes require net coding gains of 11 dB and above at residual bit error rates (BERs) of 10 −15 , for code rates larger than 0.8 [2]. For high-performance applications, softdecision decoding (SDD) of low-density parity-check (LDPC) codes is now state-of-the-art in fiber-optic communication.…”

Section: Introductionmentioning

confidence: 99%

“…HDD unfortunately entails an unavoidable capacity loss stemming from the hard decision at the channel output, reducing the achievable coding gains by 1-2 dB compared to SDD. Recent work has focused on improving the performance of modern codes for HDD by employing soft information from the channel, see, e.g., [2], [6], [7], [8] and references therein. Most of these schemes assume that the decoder has access to the full soft information (e.g., the channel output after transmission over a binary-input additive white Gaussian noise (AWGN) channel model) and internally use binary or ternary message passing [9], [10] and possibly error-anderasure decoding [11], [12], [13] of the component codes.…”

Section: Introductionmentioning

confidence: 99%

Error-and-Erasure Decoding of Product and Staircase Codes

Rapp

Schmalen

2022

IEEE Trans. Commun.

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High-rate product codes (PCs) and staircase codes (SCs) are ubiquitous codes in high-speed optical communication achieving near-capacity performance on the binary symmetric channel (BSC). Their success is mostly due to very efficient iterative decoding algorithm that require very little complexity. In this paper, we extend the density evolution (DE) analysis for PCs and SCs to a channel with ternary output and ternary message passing, where the third symbol marks an erasure. We investigate the performance of a standard error-and-erasure decoder and of two simplifications using DE. The proposed analysis can be used to find component code configurations and quantizer levels for the channel output. We also show how the use of even-weight BCH subcodes as component codes can improve the decoding performance at high rates. The DE results are verified by Monte-Carlo simulations, which show that additional coding gains of up to 0.6 dB are possible by ternary decoding, at only a small additional increase in complexity compared to traditional binary message passing.

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Unipolar quantum optoelectronics for high speed direct modulation and transmission in 8–14 µm atmospheric window

Dely,

Joharifar,

Durupt

et al. 2024

Nat Commun

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The large mid-infrared (MIR) spectral region, ranging from 2.5 µm to 25 µm, has remained under-exploited in the electromagnetic spectrum, primarily due to the absence of viable transceiver technologies. Notably, the 8–14 µm long-wave infrared (LWIR) atmospheric transmission window is particularly suitable for free-space optical (FSO) communication, owing to its combination of low atmospheric propagation loss and relatively high resilience to turbulence and other atmospheric disturbances. Here, we demonstrate a direct modulation and direct detection LWIR FSO communication system at 9.1 µm wavelength based on unipolar quantum optoelectronic devices with a unprecedented net bitrate exceeding 55 Gbit s−1. A directly modulated distributed feedback quantum cascade laser (DFB-QCL) with high modulation efficiency and improved RF-design was used as a transmitter while two high speed detectors utilizing meta-materials to enhance their responsivity are employed as receivers; a quantum cascade detector (QCD) and a quantum-well infrared photodetector (QWIP). We investigate system tradeoffs and constraints, and indicate pathways forward for this technology beyond 100 Gbit s−1 communication.

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Forward Error Correction for Optical Transponders

Cited by 14 publications

References 161 publications

Sub-Block Rearranged Staircase Codes

Sub-Block Rearranged Staircase Codes

Error-and-Erasure Decoding of Product and Staircase Codes

Unipolar quantum optoelectronics for high speed direct modulation and transmission in 8–14 µm atmospheric window

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