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While linear programming (LP) decoding provides more flexibility for finite-length performance analysis than iterative message-passing (IMP) decoding, it is computationally more complex to implement in its original form, due to both the…

Information Theory · Computer Science 2009-02-05 Mohammad H. Taghavi , Amin Shokrollahi , Paul H. Siegel

In this paper, we propose a new class of quantized message-passing decoders for LDPC codes over the BSC. The messages take values (or levels) from a finite set. The update rules do not mimic belief propagation but instead are derived using…

Information Theory · Computer Science 2016-11-15 Shiva Kumar Planjery , David Declercq , Shashi Kiran Chilappagari , Bane Vasić

We study iterative blind symbol detection for block-fading linear inter-symbol interference channels. Based on the factor graph framework, we design a joint channel estimation and detection scheme that combines the expectation maximization…

Information Theory · Computer Science 2024-08-06 Luca Schmid , Tomer Raviv , Nir Shlezinger , Laurent Schmalen

In this paper, we study the application of spatially coupled LDPC codes with sub-block locality for space division multiplexing. We focus on the information exchange between the sub-blocks and compare decoding strategies with respect to the…

Information Theory · Computer Science 2023-10-25 Haizheng Li , Laurent Schmalen

The near channel performance of Low Density Parity Check Codes (LDPC) has motivated its wide applications. Iterative decoding of LDPC codes provides significant implementation challenges as the complexity grows with the code size. Recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-29 Sudeep Kanur , Georgios Georgakarakos , Antti Siirilä , Jérémie Lagravière , Kristian Nybom , Sébastien Lafond , Johan Lilius

In goal-oriented communications, the objective of the receiver is often to apply a Deep-Learning model, rather than reconstructing the original data. In this context, direct learning over compressed data, without any prior decoding, holds…

Image and Video Processing · Electrical Eng. & Systems 2024-12-02 Ahcen Aliouat , Elsa Dupraz

Low-Density Parity-Check (LDPC) codes are usually decoded by running an iterative belief-propagation, or message-passing, algorithm over the factor graph of the code. The traditional message-passing schedule consists of updating all the…

Information Theory · Computer Science 2007-07-13 Andres I. Vila Casado , Miguel Griot , Richard D. Wesel

We present a novel lossless universal source coding algorithm that uses parallel computational units to increase the throughput. The length-$N$ input sequence is partitioned into $B$ blocks. Processing each block independently of the other…

Information Theory · Computer Science 2016-03-27 Nikhil Krishnan , Dror Baron , Mehmet Kıvanç Mıhçak

A class of rate-adaptive protograph MacKay-Neal (MN) codes is introduced and analyzed. The code construction employs an outer distribution matcher (DM) to adapt the rate of the scheme. The DM is coupled with an inner protograph-based…

Information Theory · Computer Science 2023-03-22 Ayman Zahr , Balazs Matuz , Gianluigi Liva

We show that the performance of iterative belief propagation (BP) decoding of polar codes can be enhanced by decoding over different carefully chosen factor graph realizations. With a genie-aided stopping condition, it can achieve the…

Information Theory · Computer Science 2018-04-09 Ahmed Elkelesh , Moustafa Ebada , Sebastian Cammerer , Stephan ten Brink

A ternary message passing (TMP) decoding algorithm for low-density parity-check codes is developed. All messages exchanged between variable and check nodes have a ternary alphabet, and the variable nodes exploit soft information from the…

Information Theory · Computer Science 2018-10-12 Emna Ben Yacoub , Fabian Steiner , Balazs Matuz , Gianluigi Liva

We consider the design and analysis of coding schemes for the binary input two way relay channel with erasure noise. We are particularly interested in reliable physical layer network coding in which the relay performs perfect error…

Information Theory · Computer Science 2016-11-17 Brett Hern , Krishna Narayanan

In this letter, we develop an efficient linear programming (LP) decoding algorithm for low-density parity-check (LDPC) codes. We first relax the maximum likelihood (ML) decoding problem to a LP problem by using check-node decomposition.…

Information Theory · Computer Science 2019-01-24 Jing Bai , Yongchao Wang , Francis C. M. Lau

Linear data-detection algorithms that build on zero forcing (ZF) or linear minimum mean-square error (L-MMSE) equalization achieve near-optimal spectral efficiency in massive multi-user multiple-input multiple-output (MU-MIMO) systems. Such…

Information Theory · Computer Science 2019-09-04 Charles Jeon , Kaipeng Li , Joseph R. Cavallaro , Christoph Studer

In this paper, we propose a novel decoding method for Quantum Low-Density Parity-Check (QLDPC) codes based on Graph Neural Networks (GNNs). Similar to the Belief Propagation (BP)-based QLDPC decoders, the proposed GNN-based QLDPC decoder…

In this chapter, we show how the use of differential coding and the presence of phase slips in the transmission channel affect the total achievable information rates and capacity of a system. By means of the commonly used QPSK modulation,…

Information Theory · Computer Science 2017-04-18 Laurent Schmalen , Stephan ten Brink , Andreas Leven

In fact, the broadcast nature of every transmitter makes it possible for other transceivers in the channel to overhear the broadcasted signal. The proposed idea in cooperative communication is to use these intermediate transceivers as relay…

Signal Processing · Electrical Eng. & Systems 2024-09-25 Ali Mehrban

A key issue in physical-layer network coding (PNC) is how to deal with the asynchrony between signals transmitted by multiple transmitters. That is, symbols transmitted by different transmitters could arrive at the receiver with symbol…

Information Theory · Computer Science 2015-03-19 Lu Lu , Soung Chang Liew

A new approach to joint source-channel coding is presented in the context of communicating correlated sources over multiple access channels. Similar to the separation architecture, the joint source-channel coding system architecture in this…

Information Theory · Computer Science 2013-06-04 Paolo Minero , Sung Hoon Lim , Young-Han Kim

This paper is concerned with the design of capacity approaching ensembles of Low-Densiy Parity-Check (LDPC) codes for correlated sources. We consider correlated binary sources where the data is encoded independently at each source through a…

Information Theory · Computer Science 2017-01-30 Mohamad Khas Mohamadi , Hamid Saeedi , Reza Asvadi