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In this paper, we focus on the demodulation/decoding of the complex modulations/codes that approach the Shannon capacity. Theoretically, the maximum likelihood (ML) algorithm can achieve the optimal error performance whereas it has…

Information Theory · Computer Science 2022-06-14 Boxiang He , Zitao Wu , Fanggang Wang

In this paper, we use reinforcement learning to find effective decoding strategies for binary linear codes. We start by reviewing several iterative decoding algorithms that involve a decision-making process at each step, including…

Information Theory · Computer Science 2019-12-10 Fabrizio Carpi , Christian Häger , Marco Martalò , Riccardo Raheli , Henry D. Pfister

Reed-Muller (RM) codes are known for their good maximum likelihood (ML) performance in the short block-length regime. Despite being one of the oldest classes of channel codes, finding a low complexity soft-input decoding scheme is still an…

Information Theory · Computer Science 2021-07-19 Marvin Geiselhart , Ahmed Elkelesh , Moustafa Ebada , Sebastian Cammerer , Stephan ten Brink

This work considers optimizing LDPC codes in the physical-layer network coded two-way relay channel using noncoherent FSK modulation. The error-rate performance of channel decoding at the relay node during the multiple-access phase was…

Information Theory · Computer Science 2015-02-23 Terry Ferrett , Matthew C. Valenti

Performance optimization of deep learning models is conducted either manually or through automatic architecture search, or a combination of both. On the other hand, their performance strongly depends on the target hardware and how…

Machine Learning · Computer Science 2022-09-23 Vahid Partovi Nia , Alireza Ghaffari , Mahdi Zolnouri , Yvon Savaria

An alternative method for collaborative decoding of interleaved Reed-Solomon codes as well as Gabidulin codes for the case of high interleaving degree is proposed. As an example of application, simulation results are presented for a…

Information Theory · Computer Science 2016-11-17 Hans Kurzweil , Mathis Seidl , Johannes B. Huber

We improve the method in \cite{Seidl:10} for increasing the finite-lengh performance of polar codes by protecting specific, less reliable symbols with simple outer repetition codes. Decoding of the scheme integrates easily in the known…

Information Theory · Computer Science 2013-12-11 Mathis Seidl , Johannes B. Huber

Folded Reed-Solomon codes are an explicit family of codes that achieve the optimal trade-off between rate and error-correction capability: specifically, for any $\eps > 0$, the author and Rudra (2006,08) presented an $n^{O(1/\eps)}$ time…

Information Theory · Computer Science 2016-11-17 Venkatesan Guruswami

Systematic polar codes are shown to outperform non-systematic polar codes in terms of the bit-error-rate (BER) performance. However theoretically the mechanism behind the better performance of systematic polar codes is not yet clear. In…

Information Theory · Computer Science 2015-04-17 Liping Li , Wenyi Zhang , Yanjun Hu

Many satellite communication systems operating today employ low cost upconverters or downconverters which create phase noise. This noise can severely limit the information rate of the system and pose a serious challenge for the detection…

Information Theory · Computer Science 2012-10-19 Shachar Shayovitz , Dan Raphaeli

Quantum error correction is necessary to perform large-scale quantum computations in the presence of noise and decoherence. As a result, several aspects of quantum error correction have already been explored. These have been primarily…

Quantum Physics · Physics 2021-08-05 Ariel Shlosberg , Anthony M. Polloreno , Graeme Smith

Many practical wireless communications systems select their transmit rate from a finite set of modulation and coding schemes, which correspond to a set of discrete rates. In this paper, we therefore formulate a joint coordinated precoding…

Information Theory · Computer Science 2016-04-20 Rasmus Brandt , Mats Bengtsson

Typical random codes (TRC) in a communication scenario of source coding with side information at the decoder is the main subject of this work. We study the semi-deterministic code ensemble, which is a certain variant of the ordinary random…

Information Theory · Computer Science 2021-01-29 Ran Tamir , Neri Merhav

Soft-decision decoding is NP-hard problem of great interest to developers of communication system. We present an efficient soft-decision decoding of linear block codes based on compact genetic algorithm (cGA) and compare its performance…

Information Theory · Computer Science 2012-11-26 Ahmed Azouaoui , Ahlam Berkani , Mostafa Belkasmi

Targeting always the best achievable bit error rate (BER) performance in iterative receivers operating over multiple-input multiple-output (MIMO) channels may result in significant waste of resources, especially when the achievable BER is…

Information Theory · Computer Science 2012-10-05 Konstantinos Nikitopoulos , Gerd Ascheid

In this paper, we propose a systematic low density generator matrix (LDGM) code ensemble, which is defined by the Bernoulli process. We prove that, under maximum likelihood (ML) decoding, the proposed ensemble can achieve the capacity of…

Information Theory · Computer Science 2020-01-10 Suihua Cai , Wenchao Lin , Xinyuanmeng Yao , Baodian Wei , Xiao Ma

This paper presents a code generator for sparse tensor contraction computations. It leverages a mathematical representation of loop nest computations in the sparse polyhedral framework (SPF), which extends the polyhedral model to support…

Programming Languages · Computer Science 2022-08-26 Tuowen Zhao , Tobi Popoola , Mary Hall , Catherine Olschanowsky , Michelle Mills Strout

The exact closed-form expressions for outage probability and bit error rate of spectrum sharing-based multi-hop decodeand- forward (DF) relay networks in non-identical Rayleigh fading channels are derived. We also provide the approximate…

Information Theory · Computer Science 2013-01-04 Vo Nguyen Quoc Bao , Tran Thien Thanh , Tuan Duc Nguyen , Thanh Dinh Vu

We study the problem of learning multi-index models (MIMs), where the label depends on the input $\boldsymbol{x} \in \mathbb{R}^d$ only through an unknown $\mathsf{s}$-dimensional projection $\boldsymbol{W}_*^\mathsf{T} \boldsymbol{x} \in…

Statistics Theory · Mathematics 2026-02-11 Hugo Latourelle-Vigeant , Theodor Misiakiewicz

We revisit the error correction scheme of real-valued signals when the codeword is corrupted by gross errors on a fraction of entries and a small noise on all the entries. Combining the recent developments of approximate message passing and…

Information Theory · Computer Science 2014-02-04 Jean Barbier , Florent Krzakala , Lenka Zdeborová , Pan Zhang
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