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Polar coding for achieving the capacity of marginal channels in nonbinary-input setting

Amirsina Torfi, Sobhan Soleymani, Seyed Mehdi Iranmanesh, Hadi Kazemi, Rouzbeh A. Shirvani, Vahid T. Vakili
2017 2017 51st Annual Conference on Information Sciences and Systems (CISS)  

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2017 pre-print arXiv:1701.05955v1 fatcat:cr7p32m5gvayvle7k2atbt3usq

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2017 accepted
arXiv:1701.05955v2 fatcat:omjlymk55vhohe2hx7zufkczku
It has been proven that polar codes reach to secrecy capacity in the binary-input wiretap channels in symmetric settings for which the wiretapper's channel is degraded with respect to the main channel.  ...  The first task of this paper is to propose a coding scheme to achieve secrecy capacity in asymmetric nonbinary-input channels while keeping reliability and security conditions satisfied.  ...  Assumptions and Settings Our coding scheme is based on polar coding presented in [11] . Polar codes achieve the capacity of binary-input DMCs.  ... 
doi:10.1109/ciss.2017.7926162 dblp:conf/ciss/TorfiSIKSV17 fatcat:aqhlbdt5mzarnon2ywef5f7zu4
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Amirsina Torfi, Sobhan Soleymani, Seyed Mehdi Iranmanesh, Hadi Kazemi, Rouzbeh A. Shirvani, Vahid T. Vakili. "Polar coding for achieving the capacity of marginal channels in nonbinary-input setting." 2017 51st Annual Conference on Information Sciences and Systems (CISS) (2017) 1-6

Performance Prediction of Nonbinary Forward Error Correction in Optical Transmission Experiments

Laurent Schmalen, Alex Alvarado, Rafael Rios-Muller
2017 Journal of Lightwave Technology  

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2016 pre-print
arXiv:1606.00755v1 fatcat:wdozt42s7rfbhbzj5jrsl7p6xi
2016 accepted
arXiv:1606.00755v2 fatcat:f6bzyvuz5vhevpwdmj2gakw4c4
It is shown that the correct metric to predict the performance of coded modulation based on nonbinary FEC is the mutual information.  ...  In this paper, we compare different metrics to predict the error rate of optical systems based on nonbinary forward error correction (FEC).  ...  Böcherer of Technical University Munich for stimulating discussions regarding mismatched decoding.  ... 
doi:10.1109/jlt.2016.2609932 fatcat:ulrj5ynhejd2hgl6u2pkfln2sm
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Laurent Schmalen, Alex Alvarado, Rafael Rios-Muller. "Performance Prediction of Nonbinary Forward Error Correction in Optical Transmission Experiments." Journal of Lightwave Technology 35.4 (2017) 1015-1027

Generalized OFDM (GOFDM) for ultra-high-speed optical transmission

Ivan Djordjevic, Murat Arabaci, Lei Xu, Ting Wang
2011 Optics Express  

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Furthermore, because the channel capacity is a logarithmic function of signal-to-noise ratio but a linear function of the number of dimensions, the spectral efficiency of optical transmission systems can  ...  We propose a coded N-dimensional modulation scheme suitable for ultra-high-speed serial optical transport.  ...  Acknowledgments This work was supported in part by the National Science Foundation (NSF) under Grants CCF-0952711 and ECCS-0725405, in part by NSF CIAN ERC Center for Integrated Access Network under grant  ... 
doi:10.1364/oe.19.006969 pmid:21451722 fatcat:xfsopbt7nnc3riz6ujuk2mjrui
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Ivan Djordjevic, Murat Arabaci, Lei Xu, Ting Wang. "Generalized OFDM (GOFDM) for ultra-high-speed optical transmission." Optics Express 19.7 (2011) 6969

Next Generation FEC for High-Capacity Communication in Optical Transport Networks

I.B. Djordjevic, M. Arabaci, L.L. Minkov
2009 Journal of Lightwave Technology  

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We describe both binary and nonbinary LDPC codes, their design, and decoding. We also discuss an FPGA implementation of decoders for binary LDPC codes.  ...  Codes on graphs of interest for next generation forward error correction (FEC) in high-speed optical networks, namely turbo codes and low-density parity-check (LDPC) codes, are described in this invited  ...  Turbo codes can approach channel capacity closely in the region of interest for wireless communications.  ... 
doi:10.1109/jlt.2009.2022044 fatcat:s32zftfqhndtjhia5yhprvfz24
Citation

I.B. Djordjevic, M. Arabaci, L.L. Minkov. "Next Generation FEC for High-Capacity Communication in Optical Transport Networks." Journal of Lightwave Technology 27.16 (2009) 3518-3530

Four-Dimensional Nonbinary LDPC-Coded Modulation Schemes for Ultra-High-Speed Optical Fiber Communication

Murat Arabaci, Ivan B. Djordjevic, Lei Xu, Ting Wang
2011 IEEE Photonics Technology Letters  

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Incorporating spectrally efficient modulation formats to achieve high aggregate bit rates and nonbinary LDPC codes for forward error correction (FEC), the proposed scheme offers a superior advanced FEC  ...  In this letter, we propose a four-dimensional (4-D) nonbinary low-density parity-check-coded modulation (NB-LDPC-CM) scheme suitable for beyond 100-Gb/s optical fiber communication.  ...  In NB-LDPC-CM, an incoming -symbollong input block from a -ary source channel is encoded into a -ary LDPC codeword of length .  ... 
doi:10.1109/lpt.2011.2159968 fatcat:mlw34apaznga7lrp4dnbnwyxqy
Citation

Murat Arabaci, Ivan B. Djordjevic, Lei Xu, Ting Wang. "Four-Dimensional Nonbinary LDPC-Coded Modulation Schemes for Ultra-High-Speed Optical Fiber Communication." IEEE Photonics Technology Letters 23.18 (2011) 1280-1282

Challenges and some new directions in channel coding

Erdal Ankan, Najeeb ul Hassan, Michael Lentmaier, Guido Montorsi, Jossy Sayir
2015 Journal of Communications and Networks  

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Three areas of ongoing research in channel coding are surveyed, and recent developments are presented in each area: spatially coupled Low-Density Parity-Check (LDPC) codes, nonbinary LDPC codes, and polar  ...  coding.  ...  1 Apologies to mechanics researchers for the seemingly disparaging remark.  ... 
doi:10.1109/jcn.2015.000063 fatcat:dy55a6swijfhxkcq2urpgyth6y
Citation

Erdal Ankan, Najeeb ul Hassan, Michael Lentmaier, Guido Montorsi, Jossy Sayir. "Challenges and some new directions in channel coding." Journal of Communications and Networks 17.4 (2015) 328-338

Information Rates of Next-Generation Long-Haul Optical Fiber Systems Using Coded Modulation

Gabriele Liga, Alex Alvarado, Erik Agrell, Polina Bayvel
2017 Journal of Lightwave Technology  

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2016 pre-print
arXiv:1606.01689v1 fatcat:capx2arrwvaafkyoixzu4k4uem
These quantities represent true indicators of the coded performance of the system for specific decoder implementations and when the modulation format and its input distribution are fixed.  ...  The information rates achievable for each scheme are calculated based on the mismatched decoder principle.  ...  For each polarization of each WDM channel, independent sequences of 2 18 symbols were transmitted.  ... 
doi:10.1109/jlt.2016.2603419 fatcat:kdql5bwgnjblpompkyb5axylly
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Gabriele Liga, Alex Alvarado, Erik Agrell, Polina Bayvel. "Information Rates of Next-Generation Long-Haul Optical Fiber Systems Using Coded Modulation." Journal of Lightwave Technology 35.1 (2017) 113-123

100G and Beyond Transmission Technologies for Evolving Optical Networks and Relevant Physical-Layer Issues

Ezra Ip, Philip Ji, Eduardo Mateo, Yue-Kai Huang, Lei Xu, Dayou Qian, Neng Bai, Ting Wang
2012 Proceedings of the IEEE  

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Software-defined transponders will have the programmability to adopt various modulation formats, coding rates, and the signal bandwidth based on the transmission distance and type of fiber.  ...  Digital signal processing will become increasingly ubiquitous and sophisticated, capable of compensating all types of channel impairments, enabling advanced forward error correction coding, and performing  ...  Compared to binary LDPC-coded modulation, nonbinary LDPC-coded modulation has several advantages: 1) reduction in the number of encoders and decoders: For 2 m -QAM (where m > 1), m binary LDPC encoders  ... 
doi:10.1109/jproc.2012.2183329 fatcat:hfaa4eq7lzey7g4w7hi6wboyqu
Citation

Ezra Ip, Philip Ji, Eduardo Mateo, Yue-Kai Huang, Lei Xu, Dayou Qian, Neng Bai, Ting Wang. "100G and Beyond Transmission Technologies for Evolving Optical Networks and Relevant Physical-Layer Issues." Proceedings of the IEEE 100.5 (2012) 1065-1078

Rate-Adaptive Coding for Optical Fiber Transmission Systems

Gwang-Hyun Gho, Lauren Klak, Joseph M. Kahn
2011 Journal of Lightwave Technology  

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Much of the increase in the gap arises from the inefficiency of the repetition coding used beyond 3280 km.  ...  A rate adaptation algorithm uses the SNR or the FEC decoder input bit-error ratio (BER) estimated by a receiver to determine the combination of RS-RS and repetition codes that maximizes the information  ...  ACKNOWLEDGMENT The author are grateful to O. Gerstel and L. Paraschis of Cisco Systems for suggesting this research topic. They also thank K.-P. Ho and P. J. Winzer for helpful discussions.  ... 
doi:10.1109/jlt.2010.2099208 fatcat:iek3tinhgjeypnpw2uwnurrjdy
Citation

Gwang-Hyun Gho, Lauren Klak, Joseph M. Kahn. "Rate-Adaptive Coding for Optical Fiber Transmission Systems." Journal of Lightwave Technology 29.2 (2011) 222-233

A Class of Nonbinary Symmetric Information Bottleneck Problems

Michael Dikshtein, Shamai (Shitz), Shlomo
2022 Zenodo  

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The 2022 International Zurich Seminar on Information and Communication 2022 (IZS2022)  ...  ACKNOWLEDGMENT This work has been supported by the European Union's Horizon 2020 Research And Innovation Programme, grant agreement no. 694630 and by the WIN consortium via the Israel minister of economy  ...  In this work we address the input symmetric nonbinary setting for the IB and PF functions.  ... 
doi:10.5281/zenodo.5907015 fatcat:5wi7d27t3vebbixg7p7s573yku
Open Access
Citation

Michael Dikshtein, Shamai (Shitz), Shlomo. "A Class of Nonbinary Symmetric Information Bottleneck Problems." Zenodo (2022)

Polar write once memory codes [article]

David Burshtein, Alona Strugatski
2012 arXiv   pre-print

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2012 pre-print
arXiv:1207.0782v1 fatcat:qu7afiufj5ekvm7guizkuv2csy
In the derivation we also obtain results on the typical distortion of polar codes for lossy source coding. Some simulation results with finite length codes are presented.  ...  It is shown that the scheme achieves the capacity region of noiseless WOMs when an arbitrary number of multiple writes is permitted.  ...  ACKNOWLEDGMENT This research was supported by the Israel Science Foundation, grant no. 772/09.  ... 
arXiv:1207.0782v2 fatcat:ftcg3lqpxfgjrgxh23mffmo77y
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David Burshtein, Alona Strugatski. "Polar write once memory codes." arXiv (2012)

Space-Time Turbo Coded Modulation: Design and Applications

Djordje Tujkovic, Markku Juntti, Matti Latva-aho
2002 EURASIP Journal on Advances in Signal Processing  

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space-frequency turbo coded modulation performs within 2.5 dB of the outage capacity for a variety of practical wideband multiple-input multiple-output (MIMO) radio channels.  ...  The application of space-time turbo coded modulation to the space-frequency domain is also proposed in this paper.  ...  ACKNOWLEDGMENTS The research was been supported by Nokia, Elektrobit, Finnish Air Force, the National Technology Agency of Finland (Tekes) and Graduate School of Electronics, Telecommunications and Automation  ... 
doi:10.1155/s1110865702000641 fatcat:tibsfa6sabhypjkmu4vhtottkm
DOAJ
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Djordje Tujkovic, Markku Juntti, Matti Latva-aho. "Space-Time Turbo Coded Modulation: Design and Applications." EURASIP Journal on Advances in Signal Processing 2002.3 (2002)

Analysis of forward error correction and achievable rates for optical fiber systems

Tobias Fehenberger, Norbert Hanik
2015 2015 17th International Conference on Transparent Optical Networks (ICTON)  

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These rates represent the maximum amount of information we can convey over a memoryless channel with a fixed input if ideal forward error correction (FEC) is employed.  ...  We study lower bounds on mutual information that are achievable rates for optimal and sub-optimal hard-decision (HD) and soft-decision (SD) decoding.  ...  The MI I(X; Y) is the largest achievable information rate for a memoryless channel with independent input X.  ... 
doi:10.1109/icton.2015.7193358 fatcat:ahmbipkvzjcv7odz2xc7bvk4lm
Citation

Tobias Fehenberger, Norbert Hanik. "Analysis of forward error correction and achievable rates for optical fiber systems." 2015 17th International Conference on Transparent Optical Networks (ICTON) (2015)

Challenges and some new directions in channel coding [article]

Erdal Arikan, Najeeb ul Hassan, Michael Lentmaier, Guido Montorsi, Jossy Sayir
2015 arXiv   pre-print

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Three areas of ongoing research in channel coding are surveyed, and recent developments are presented in each area: spatially coupled Low-Density Parity-Check (LDPC) codes, non-binary LDPC codes, and polar  ...  coding.  ...  More precisely, [78] shows that a polar code optimized for a Binary Symmetric Channel (BSC) achieves the capacity of any other binary-input channel of the same capacity under ML decoding.  ... 
arXiv:1504.03916v1 fatcat:3bfjceo2kbbovb7rk2hw3jwudu
Citation

Erdal Arikan, Najeeb ul Hassan, Michael Lentmaier, Guido Montorsi, Jossy Sayir. "Challenges and some new directions in channel coding." arXiv (2015)

Optimizing Transmission Lengths for Limited Feedback with Non-Binary LDPC Examples [article]

Kasra Vakilinia, Sudarsan V. S. Ranganathan, Dariush Divsalar, and Richard D. Wesel
2016 arXiv   pre-print

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This paper presents a general approach for optimizing the number of symbols in increments (packets of incremental redundancy) in a feedback communication system with a limited number of increments.  ...  Applying this approach to a variety of feedback systems using non-binary (NB) low-density parity-check (LDPC) codes shows that greater than 90% of capacity can be achieved with average blocklengths fewer  ...  In [24] , Romero uses cyclic redundancy check (CRC) codes to study the performance of spinal codes in VLF setting. Use of polar codes with HARQ is also studied in [25] , [26] .  ... 
arXiv:1602.05072v1 fatcat:76kpgpehjjglzpdlfvlf6aoudu
Citation

Kasra Vakilinia, Sudarsan V. S. Ranganathan, Dariush Divsalar, and Richard D. Wesel. "Optimizing Transmission Lengths for Limited Feedback with Non-Binary LDPC Examples." arXiv (2016)

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