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We revisit performance metrics for optical communication systems with FEC. We illustrate the concept of universality and discuss the most widespread performance thresholds. Finally, we show by example how to include FEC into transmission…

Information Theory · Computer Science 2022-04-12 Laurent Schmalen

Although forward error-correction (FEC) coding is an essential part of modern fiber-optic communication systems, it is impractical to implement and evaluate FEC in transmission experiments and simulations. Therefore, it is desirable to…

Information Theory · Computer Science 2024-01-25 Erik Agrell , Marco Secondini , Alex Alvarado , Tsuyoshi Yoshida

The FEC limit paradigm is the prevalent practice for designing optical communication systems to attain a certain bit-error rate (BER) without forward error correction (FEC). This practice assumes that there is an FEC code that will reduce…

Information Theory · Computer Science 2024-01-25 Alex Alvarado , Erik Agrell , Domanic Lavery , Robert Maher , Polina Bayvel

Information-theoretic metrics to analyze optical fiber communications systems with binary and nonbinary soft-decision FEC are reviewed. The numerical evaluation of these metrics in both simulations and experiments is also discussed.…

Information Theory · Computer Science 2020-06-05 Alex Alvarado

Forward Error Correction (FEC) is used ubiquitously in the communication pipeline. We explore noncooperative decoding where we aim to recover the code rate of a linear block code. We present a metric to characterize the quality of the code…

Information Theory · Computer Science 2026-03-03 Atreya Vedantam , Radha Krishna Ganti

High-throughput optical communication systems utilize binary soft-decision forward error correction (SD-FEC) with bit interleaving over the bit channels. The generalized mutual information (GMI) is an achievable information rate (AIR) in…

Information Theory · Computer Science 2024-01-30 Tsuyoshi Yoshida , Magnus Karlsson , Erik Agrell

Accurate performance benchmarking after forward error correction (FEC) decoding is essential for system design in optical fiber communications. Generalized mutual information (GMI) has been shown to be successful at benchmarking the…

Signal Processing · Electrical Eng. & Systems 2024-01-25 Tsuyoshi Yoshida , Alex Alvarado , Magnus Karlsson , Erik Agrell

The potential of optimum selection of modulation and forward error correction (FEC) overhead (OH) in future transparent nonlinear optical mesh networks is studied from an information theory perspective. Different network topologies are…

Information Theory · Computer Science 2016-01-19 Alex Alvarado , David J. Ives , Seb Savory , Polina Bayvel

The effect of different spreading codes in DWT based MC-CDMA wireless communication system is investigated. In this paper, we present the Bit Error Rate (BER) performance of different spreading codes (Walsh-Hadamard code, Orthogonal gold…

Information Theory · Computer Science 2012-07-18 Saleh Masum , M. Hasnat Kabir , Md. Matiqul Islam , Rifat Ara Shams , Shaikh Enayet Ullah

Coded modulation (CM) is the combination of forward error correction (FEC) and multilevel constellations. Coherent optical communication systems result in a four-dimensional (4D) signal space, which naturally leads to 4D-CM transceivers. A…

Information Theory · Computer Science 2024-01-25 Alex Alvarado , Erik Agrell

In this paper, we investigate the impact of Forward Error Correction (FEC) codes namely Cyclic Redundancy Code and Convolution Code on the performance of OFDM wireless communication system for speech signal transmission over both AWGN and…

Orthogonal Frequency Division Multiplexing (OFDM) has gained a lot of popularity over the years. Due to its popularity, OFDM has been adopted as a standard in cellular technology and Wireless Local Area Network (WLAN) communication systems.…

Information Theory · Computer Science 2016-10-04 David R. Wasserman , Ahsen U. Ahmed , David W. Chi

A perturbation-based nonlinear compensation scheme assisted by a feedback from the forward error correction (FEC) decoder is numerically and experimentally investigated. It is shown by numerical simulations and transmission experiments that…

Signal Processing · Electrical Eng. & Systems 2019-02-27 Edson P. da Silva , Metodi P. Yankov , Francesco Da Ros , Toshio Morioka , Leif K. Oxenløwe

Superdense coding promises increased classical capacity and communication security but this advantage may be undermined by noise in the quantum channel. We present a numerical study of how forward error correction (FEC) applied to the…

Quantum Physics · Physics 2016-05-25 Ronald J. Sadlier , Travis S. Humble

A coded modulation system is considered in which nonbinary coded symbols are mapped directly to nonbinary modulation signals. It is proved that if the modulator-channel combination satisfies a particular symmetry condition, the codeword…

Information Theory · Computer Science 2016-11-18 Mark F. Flanagan

This paper proposes a new metric to measure the calibration error of probabilistic binary classifiers, called test-based calibration error (TCE). TCE incorporates a novel loss function based on a statistical test to examine the extent to…

Machine Learning · Statistics 2023-06-27 Takuo Matsubara , Niek Tax , Richard Mudd , Ido Guy

Communication efficiency is a central challenge in distributed machine learning training, and message compression is a widely used solution. However, standard Error Feedback (EF) methods (Seide et al., 2014), though effective for smooth…

Optimization and Control · Mathematics 2025-10-07 Yuan Gao , Anton Rodomanov , Jeremy Rack , Sebastian Stich

Use of an error correction code in a given transmission channel can be regarded as the statistical experiment. Therefore, powerful results from the theory of comparison of experiments can be applied to compare the performances of different…

Information Theory · Computer Science 2007-10-23 Dejan V. Djonin

The problem of error correction in both coherent and noncoherent network coding is considered under an adversarial model. For coherent network coding, where knowledge of the network topology and network code is assumed at the source and…

Information Theory · Computer Science 2019-05-07 Danilo Silva , Frank R. Kschischang

New bounds on classification error rates for the error-correcting output code (ECOC) approach in machine learning are presented. These bounds have exponential decay complexity with respect to codeword length and theoretically validate the…

Machine Learning · Computer Science 2021-09-21 Hieu D. Nguyen , Mohammed Sarosh Khan , Nicholas Kaegi , Shen-Shyang Ho , Jonathan Moore , Logan Borys , Lucas Lavalva
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