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Variable length codes exhibit de-synchronization problems when transmitted over noisy channels. Trellis decoding techniques based on Maximum A Posteriori (MAP) estimators are often used to minimize the error rate on the estimated sequence.…

Networking and Internet Architecture · Computer Science 2016-08-16 Simon Malinowski , Hervé Jégou , Christine Guillemot

We employ Permutation Trellis Code (PTC) based multi-level Frequency Shift Keying signaling to mitigate the impact of Primary Users (PUs) on the performance of Secondary Users (SUs) in Cognitive Radio Networks (CRNs). The PUs are assumed to…

Information Theory · Computer Science 2014-12-15 Raghed El-Bardan , Engin Masazade , Onur Ozdemir , Yunghsiang S. Han , Pramod K. Varshney

The forthcoming Versatile Video Coding (VVC) standard adopts the trellis-coded quantization, which leverages the delicate trellis graph to map the quantization candidates within one block into the optimal path. Despite the high compression…

Multimedia · Computer Science 2021-02-24 Meng Wang , Shiqi Wang , Junru Li , Li Zhang , Yue Wang , Siwei Ma , Sam Kwong

In this paper, we present a concatenated coding scheme for a high rate $2\times 2$ multiple-input multiple-output (MIMO) system over slow fading channels. The inner code is the Golden code \cite{Golden05} and the outer code is a trellis…

Information Theory · Computer Science 2009-09-29 Yi Hong , Emanuele Viterbo , Jean-Claude Belfiore

In this paper we propose a matched encoding (ME) scheme for convolutionally encoded transmission over intersymbol interference (usually called ISI) channels. A novel trellis description enables to perform equalization and decoding jointly,…

Information Theory · Computer Science 2012-10-05 Fabian Schuh , Andreas Schenk , Johannes B. Huber

In the search for highly efficient decoders for short LDPC codes approaching maximum likelihood performance, a relayed decoding strategy, specifically activating the ordered statistics decoding process upon failure of a neural min-sum…

Information Theory · Computer Science 2024-03-26 Guangwen Li , Xiao Yu

Based on the notion of supercodes, we propose a two-phase maximum-likelihood soft-decision decoding (tpMLSD) algorithm for binary linear block codes in this work. The first phase applies the Viterbi algorithm backwardly to a trellis derived…

Information Theory · Computer Science 2014-08-07 Yunghsiang S. Han , Hung-Ta Pai , Po-Ning Chen , Ting-Yi Wu

A decode and forward protocol based Trellis Coded Modulation (TCM) scheme for the half-duplex relay channel, in a Rayleigh fading environment, is presented. The proposed scheme can achieve any spectral efficiency greater than or equal to…

Information Theory · Computer Science 2011-09-06 Vijayvaradharaj T Muralidharan , B. Sundar Rajan

This paper presents a comprehensive guide to designing minimal trellises for both non-degenerate and degenerate decoding of quantum stabilizer codes. For non-degenerate decoding, various strategies are explored, leveraging insights from…

Information Theory · Computer Science 2024-10-11 Evagoras Stylianou , Vladimir Sidorenko , Christian Deppe , Holger Boche

Sequential decoding, commonly applied to substitution channels, is a sub-optimal alternative to Viterbi decoding with significantly reduced memory costs. In this work, a sequential decoder for convolutional codes over channels that are…

Information Theory · Computer Science 2026-04-02 Anisha Banerjee , Andreas Lenz , Antonia Wachter-Zeh

A List Viterbi detector produces a rank ordered list of the N globally best candidates in a trellis search. A List Viterbi detector structure is proposed that incorporates the noise prediction with periodic state-metric updates based on…

Information Theory · Computer Science 2013-07-24 Suayb. S. Arslan , Jaewook Lee , Turguy Goker

Concatenation is a method of building long codes out of shorter ones, it attempts to meet the problem of decoding complexity by breaking the required computation into manageable segments. Concatenated Continuous Phase Frequency Shift Keying…

Information Theory · Computer Science 2011-05-24 Labib Francis Gergis

Staircase codes (SCCs) are typically decoded using iterative bounded-distance decoding (BDD) and hard decisions. In this paper, a novel decoding algorithm is proposed, which partially uses soft information from the channel. The proposed…

Signal Processing · Electrical Eng. & Systems 2020-06-05 Yi Lei , Bin Chen , Gabriele Liga , Xiong Deng , Zizheng Cao , Jianqiang Li , Kun Xu , Alex Alvarado

We construct a hybrid quantum-classical Viterbi decoder for the classical error-correcting codes. Viterbi decoding is a trellis-based procedure for maximum likelihood decoding of classical error-correcting codes. In this article, we…

Quantum Physics · Physics 2026-02-13 Mainak Bhattacharyya , Ankur Raina

In this paper, the spectral efficiency of permutation modulation-based multiple input multiple output (MIMO) visible light communication is improved using systematically designed, multiweight codeword matrices. Soft-decision, low-complexity…

Signal Processing · Electrical Eng. & Systems 2020-07-01 Oluwafemi Kolade , Ling Cheng

We propose an improved soft-aided decoding scheme for product codes that approaches the decoding performance of conventional soft-decision TPD with only a 0.2 dB gap while keeping the complexity and internal decoder data flow similarly low…

Information Theory · Computer Science 2022-07-12 Sisi Miao , Lukas Rapp , Laurent Schmalen

Standard decoding approaches for convolutional codes, such as the Viterbi and BCJR algorithms, entail significant complexity when correcting synchronization errors. The situation worsens when multiple received sequences should be jointly…

Information Theory · Computer Science 2024-10-10 Anisha Banerjee , Lorenz Welter , Alexandre Graell i Amat , Antonia Wachter-Zeh , Eirik Rosnes

The anti-interference capability of wireless links is a physical layer problem for edge computing. Although convolutional codes have inherent error correction potential due to the redundancy introduced in the data, the performance of the…

Information Theory · Computer Science 2022-11-15 Haoyu Li , Xuan Wang , Tong Liu , Dingyi Fang , Baoying Liu

Classical trellis-coded modulation (TCM) as introduced by Ungerboeck in 1976/1983 uses a signal constellation of twice the cardinality compared to an uncoded transmission with one bit of redundancy per PAM symbol, i.e., application of codes…

Information Theory · Computer Science 2013-12-06 Fabian Schuh , Johannes B. Huber

Concatenated bit-interleaved and multilevel coded modulation with outer Reed--Solomon codes, inner Chase-algorithm-based soft-decision-decoded Bose--Ray-Chaudhuri--Hocquenghem codes, and four-level pulse amplitude modulation is considered.…

Information Theory · Computer Science 2025-01-22 Alvin Y. Sukmadji , Frank R. Kschischang
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