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When binary linear error-correcting codes are used over symmetric channels, a relaxed version of the maximum likelihood decoding problem can be stated as a linear program (LP). This LP decoder can be used to decode error-correcting codes at…

Information Theory · Computer Science 2013-09-24 Siddharth Barman , Xishuo Liu , Stark C. Draper , Benjamin Recht

The complexity-performance trade-off is a fundamental aspect of the design of low-density parity-check (LDPC) codes. In this paper, we consider LDPC codes for the binary erasure channel (BEC), use code rate for performance metric, and…

Information Theory · Computer Science 2016-11-17 Vahid Jamali , Yasser Karimian , Johannes Huber , Mahmoud Ahmadian

This paper considers the problem of reducing the broadcast decoding delay of wireless networks using instantly decodable network coding (IDNC) based device-to-device (D2D) communications. In a D2D configuration, devices in the network can…

Information Theory · Computer Science 2015-05-22 Ahmed Douik , Sameh Sorour , Tareq Y. Al-Naffouri , Hong-Chuan Yang , Mohamed-Slim Alouini

Spatially coupled low-density parity-check (SC-LDPC) codes can achieve the channel capacity under low-complexity belief propagation (BP) decoding, however, there is a non-negligible rate-loss because of termination effects for practical…

Information Theory · Computer Science 2015-12-16 Sebastian Cammerer , Vahid Aref , Laurent Schmalen , Stephan ten Brink

An algorithm is proposed to encode low-density parity-check (LDPC) codes into codewords with a non-uniform distribution. This enables power-efficient signalling for asymmetric channels. We show gains of 0.9 dB for additive white Gaussian…

Information Theory · Computer Science 2023-05-24 Thomas Wiegart , Linfang Wang , Diego Lentner , Richard D. Wesel

This paper presents a design technique for obtaining regular time-invariant low-density parity-check convolutional (RTI-LDPCC) codes with low complexity and good performance. We start from previous approaches which unwrap a low-density…

Information Theory · Computer Science 2016-11-17 Marco Baldi , Giovanni Cancellieri , Franco Chiaraluce

Low-density parity-check (LDPC) codes together with belief propagation (BP) decoding yield exceptional error correction capabilities in the large block length regime. Yet, there remains a gap between BP decoding and maximum likelihood…

Information Theory · Computer Science 2025-01-22 Jonathan Mandelbaum , Holger Jäkel , Laurent Schmalen

Based on the extended binary image of non-binary LDPC codes, we propose a method for generating extra redundant bits, such as to decreases the coding rate of a mother code. The proposed method allows for using the same decoder, regardless…

Information Theory · Computer Science 2011-03-15 Lam Pham Sy , Valentin Savin , David Declercq

Cyclic liftings are proposed to lower the error floor of low-density parity-check (LDPC) codes. The liftings are designed to eliminate dominant trapping sets of the base code by removing the short cycles which form the trapping sets. We…

Information Theory · Computer Science 2010-02-24 Reza Asvadi , Amir H. Banihashemi , Mahmoud Ahmadian-Attari

The problem of dirty paper coding (DPC) over the (multi-antenna) fading dirty paper channel (FDPC) Y = H(X + S) + Z is considered when there is imperfect knowledge of the channel state information H at the transmitter (CSIT). The case of…

Information Theory · Computer Science 2009-03-27 Chinmay S. Vaze , Mahesh K. Varanasi

We propose the use of a lower or upper triangular sub-base matrix to replace the identity matrix in the source-check-channel-variable linking protomatrix of a double-protograph low-density parity-check joint-source-channel code (DP-LDPC…

Information Theory · Computer Science 2023-10-17 Jia Zhan , Francis C. M. Lau

In this work, we analyze efficient window shift schemes for windowed decoding of spatially coupled low-density parity-check (SC-LDPC) codes, which is known to yield close-tooptimal decoding results when compared to full belief propagation…

Information Theory · Computer Science 2018-10-03 Kevin Klaiber , Sebastian Cammerer , Laurent Schmalen , Stephan ten Brink

A new type of spatially coupled low-density parity-check (SC-LDPC) codes motivated by practical storage applications is presented. SC-LDPCL codes (suffix 'L' stands for locality) can be decoded locally at the level of sub-blocks that are…

Information Theory · Computer Science 2020-09-29 Eshed Ram , Yuval Cassuto

We study Low-Density Parity-Check (LDPC) codes with iterative decoding on block-fading (BF) Relay Channels. We consider two users that employ coded cooperation, a variant of decode-and-forward with a smaller outage probability than the…

Information Theory · Computer Science 2012-10-05 Dieter Duyck , Joseph J. Boutros , Marc Moeneclaey

We propose a novel joint decoding technique for distributed source-channel (DSC) coded systems for transmission of correlated binary Markov sources over additive white Gaussian noise (AWGN) channels. In the proposed scheme, relatively…

Information Theory · Computer Science 2013-08-02 Reza Asvadi , Tad Matsumoto , Markku Juntti

Departing from traditional communication theory where decoding algorithms are assumed to perform without error, a system where noise perturbs both computational devices and communication channels is considered here. This paper studies…

Information Theory · Computer Science 2010-05-31 Lav R. Varshney

In this paper, we propose a finite alphabet message passing algorithm for LDPC codes that replaces the standard min-sum variable node update rule by a mapping based on generic look-up tables. This mapping is designed in a way that maximizes…

Information Theory · Computer Science 2015-10-16 Alexios Balatsoukas-Stimming , Michael Meidlinger , Reza Ghanaatian , Gerald Matz , Andreas Burg

Consider the problem of source coding in networks with multiple receiving terminals, each having access to some kind of side information. In this case, standard coding techniques are either prohibitively complex to decode, or require…

Information Theory · Computer Science 2011-11-28 Chen Avin , Michael Borokhovich , Asaf Cohen , Zvi Lotker

We address the connection between the multiple-description (MD) problem and Delta-Sigma quantization. The inherent redundancy due to oversampling in Delta-Sigma quantization, and the simple linear-additive noise model resulting from…

Information Theory · Computer Science 2009-07-15 Jan Ostergaard , Ram Zamir

We propose and analyze a novel scheme based on LDPC codes for quantitative group testing. The key underlying idea is to augment the bipartite graph by introducing hidden non-binary variables to strengthen the message-passing decoder. This…

Information Theory · Computer Science 2024-10-01 Mgeni Makambi Mashauri , Alexandre Graell i Amat , Michael Lentmaier