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Polarization-adjusted convolutional (PAC) codes were recently proposed and arouse the interest of the channel coding community because they were shown to approach theoretical bounds for the (128,64) code size. In this letter, we propose…

Information Theory · Computer Science 2020-11-09 Thibaud Tonnellier , Warren J. Gross

A general method of coding over expansions is proposed, which allows one to reduce the highly non-trivial problem of coding over continuous channels to a much simpler discrete ones. More specifically, the focus is on the additive…

Information Theory · Computer Science 2012-02-09 O. Ozan Koyluoglu , Kumar Appaiah , Hongbo Si , Sriram Vishwanath

Covering and elimination inequalities are central to combinatorial optimization, yet their role has largely been studied in problem-specific settings or via no-good cuts. This paper introduces a unified perspective that treats these…

Optimization and Control · Mathematics 2025-11-18 Ningji Wei

Channels with synchronization errors, such as deletion and insertion errors, are crucial in DNA storage, data reconstruction, and other applications. These errors introduce memory to the channel, complicating its capacity analysis. This…

Information Theory · Computer Science 2025-05-13 Busra Tegin , Tolga M Duman

In this paper, we study the uplink of a cellular system using the linear deterministic approximation model, where there are two users transmitting to a receiver, mutually interfering with a third transmitter communicating with a second…

Information Theory · Computer Science 2011-04-04 J. Buehler , G. Wunder

A new recalibration post-processing method is presented to improve the quality of the posterior approximation when using Approximate Bayesian Computation (ABC) algorithms. Recalibration may be used in conjunction with existing…

Computation · Statistics 2017-04-24 G. S. Rodrigues , D. Prangle , S. A. Sisson

This paper studies coding schemes for the $q$-ary symmetric channel based on binary low-density parity-check (LDPC) codes that work for any alphabet size $q=2^m$, $m\in\mathbb{N}$, thus complementing some recently proposed packet-based…

Information Theory · Computer Science 2015-03-13 Claudio Weidmann , Gottfried Lechner

We study fountain codes transmitted over the binary-input symmetric-output channel. For channels with small capacity, receivers needs to collects many channel outputs to recover information bits. Since a collected channel output yields a…

Information Theory · Computer Science 2010-07-13 Kenta Kasai , Kohichi Sakaniwa

A framework is proposed that allows for a joint description and optimization of both binary polar coding and the multilevel coding (MLC) approach for $2^m$-ary digital pulse-amplitude modulation (PAM). The conceptual equivalence of polar…

Information Theory · Computer Science 2016-11-17 Mathis Seidl , Andreas Schenk , Clemens Stierstorfer , Johannes B. Huber

A new non-orthogonal multiple access scheme performing simultaneous transmission to multiple users characterized by different signal-to-noise ratios is proposed. Different users are multiplexed by storing their codewords into a multiplexing…

Information Theory · Computer Science 2015-01-29 Alberto G. Perotti , Branislav M. Popovic

This paper investigates the linear precoder design that maximizes the average mutual information of multiple-input multiple-output channels with finite-alphabet inputs and statistical channel state information known at the transmitter. This…

Information Theory · Computer Science 2011-09-07 Weiliang Zeng , Chengshan Xiao , Mingxi Wang , Jianhua Lu

A new approach to the problem of error correction in communication channels is proposed, in which the input sequence is transformed in such a way that the interdependence of symbols is significantly increased. Then, after the sequence is…

Information Theory · Computer Science 2026-01-13 Boris Ryabko

For the information transmission a binary symmetric channel is used. There is also another noisy binary symmetric channel (feedback channel), and the transmitter observes without delay all the outputs of the forward channel via that…

Information Theory · Computer Science 2008-08-18 Marat V. Burnashev , Hirosuke Yamamoto

Approximate Bayesian computation (ABC) refers to a family of inference methods used in the Bayesian analysis of complex models where evaluation of the likelihood is difficult. Conventional ABC methods often suffer from the curse of…

Computation · Statistics 2016-07-08 Jingjing Li , David J. Nott , Yanan Fan , Scott A. Sisson

A framework is proposed that allows for a joint description and optimization of both binary polar coding and $2^m$-ary digital pulse-amplitude modulation (PAM) schemes such as multilevel coding (MLC) and bit-interleaved coded modulation…

Information Theory · Computer Science 2013-02-13 Mathis Seidl , Andreas Schenk , Clemens Stierstorfer , Johannes B. Huber

This paper considers a binary channel with deletions. We derive two close form upper bound on the capacity of binary deletion channel. The first upper bound is based on computing the capacity of an auxiliary channel and we show how the…

Information Theory · Computer Science 2021-03-23 Hassan Tavakoli

A novel technique to optimize the input distribution and compute a lower bound for the capacity of the nonlinear optical fiber channel is proposed. The technique improves previous bounds obtained with the additive white Gaussian noise…

Information Theory · Computer Science 2021-06-09 Stella Civelli , Enrico Forestieri , Alexey Lotsmanov , Dmitry Razdoburdin , Marco Secondini

The min-sum approximation is widely used in the decoding of polar codes. Although it is a numerical approximation, hardly any penalties are incurred in practice. We give a theoretical justification for this. We consider the common case of a…

Information Theory · Computer Science 2025-03-04 Nir Chisnevski , Ido Tal , Shlomo Shamai

This paper compares and evaluates a set of non-parametric mutual information estimators with the goal of providing a novel toolset to progress in the analysis of the capacity of the nonlinear optical channel, which is currently an open…

Information Theory · Computer Science 2018-01-25 Tommaso Catuogno , Menelaos Ralli Camara , Marco Secondini

Distribution matching is the process of invertibly mapping a uniformly distributed input sequence onto sequences that approximate the output of a desired discrete memoryless source. The special case of a binary output alphabet and…

Information Theory · Computer Science 2017-12-19 Patrick Schulte , Bernhard C. Geiger
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