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An algorithm for constructing Tanner graphs of non-binary irregular quasi-cyclic LDPC codes is introduced. It employs a new method for selection of edge labels allowing control over the code's non-binary ACE spectrum and resulting in low…

Information Theory · Computer Science 2016-11-17 Alex Bazarsky , Noam Presman , Simon Litsyn

We investigate the binary-symmetric parallel-relay network where there is one source, one destination, and multiple relays in parallel. We show that forwarding relays, where the relays merely transmit their received signals, achieve the…

Information Theory · Computer Science 2014-03-11 Lawrence Ong , Sarah J. Johnson , Christopher M. Kellett

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

In this paper, we analyze the finite-length performance of codes on graphs constructed by connecting spatially coupled low-density parity-check (SC-LDPC) code chains. Successive (peeling) decoding is considered for the binary erasure…

Information Theory · Computer Science 2014-03-03 Pablo M. Olmos , David G. M. Mitchell , Dmitri Truhachev , Daniel J. Costello

We examine LDPC codes decoded using linear programming (LP). Four contributions to the LP framework are presented. First, a new method of tightening the LP relaxation, and thus improving the LP decoder, is proposed. Second, we present an…

Information Theory · Computer Science 2016-11-17 David Burshtein , Idan Goldenberg

In this paper, we present a low-complexity joint detection-decoding algorithm for nonbinary LDPC codedmodulation systems. The algorithm combines hard-decision decoding using the message-passing strategy with the signal detector in an…

Information Theory · Computer Science 2016-11-17 Xuepeng Wang , Baoming Bai , Xiao Ma

Constructing efficient low-rate error-correcting codes with low-complexity encoding and decoding have become increasingly important for applications involving ultra-low-power devices such as Internet-of-Things (IoT) networks. To this end,…

Information Theory · Computer Science 2020-11-02 Fariba Abbasi , Hessam Mahdavifar , Emanuele Viterbo

Although extensively investigated, the capacity of the two-hop half-duplex (HD) relay channel is not fully understood. In particular, a capacity expression which can be easily evaluated is not available and an explicit coding scheme which…

Information Theory · Computer Science 2015-11-18 Nikola Zlatanov , Vahid Jamali , Derrick Wing Kwan Ng , Robert

We derive bounds on the asymptotic density of parity-check matrices and the achievable rates of binary linear block codes transmitted over memoryless binary-input output-symmetric (MBIOS) channels. The lower bounds on the density of…

Information Theory · Computer Science 2007-07-13 Gil Wiechman , Igal Sason

Coding schemes for discrete memoryless multicast networks (DM-MN) with rate-limited feedback from the receivers and relays to the transmitter are proposed. The schemes improve over the noisy network coding proposed by Lim et al.. For the…

Information Theory · Computer Science 2016-11-17 Youlong Wu

In a digital communication system, information is sent from one place to another over a noisy communication channel using binary symbols (bits). Original information is encoded by adding redundant bits, which are then used by low--density…

Information Theory · Computer Science 2017-09-29 Banu Kabakulak , Z. Caner Taşkın , Ali Emre Pusane

Low-density parity-check (LDPC) codes are capable of achieving excellent performance and provide a useful alternative for high performance applications. However, at medium to high signal-to-noise ratios (SNR), an observable error floor…

Information Theory · Computer Science 2016-08-17 C. T. Healy , R. C. de Lamare

This paper presents a general approach for optimizing the number of symbols in increments (packets of incremental redundancy) in a feedback communication system with a limited number of increments. This approach is based on a tight normal…

Information Theory · Computer Science 2016-02-17 Kasra Vakilinia , Sudarsan V. S. Ranganathan , Dariush Divsalar , Richard D. Wesel

This paper is concerned with linear superposition systems in which all components of the superimposed signal are coded with an identical binary low-density parity-check (LDPC) code.

Information Theory · Computer Science 2019-09-23 Shancheng Zhao , Xiao Ma , Baoming Bai

Low Density Parity Check (LDPC) codes are linear error correcting codes used in communication systems for Forward Error Correction (FEC). But, intensive computation is required for encoding and decoding of LDPC codes, making it difficult…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-13 Bhargav Gokalgandhi , Ivan Seskar

In this paper, we contribute to the theoretical understanding, the design, and the performance evaluation of multi-source multi-relay network-coded cooperative diversity protocols. These protocols are useful to counteract the spectral…

Information Theory · Computer Science 2016-11-17 Marco Di Renzo , Michela Iezzi , Fabio Graziosi

Rateless codes have been shown to provide robust error correction over a wide range of binary and noisy channels. Using a stochastic geometry model, this paper studies the performance of rateless codes in the cellular downlink and compares…

Information Theory · Computer Science 2017-02-27 Amogh Rajanna , Martin Haenggi

In this letter, we propose a novel LDPC coding scheme to transmit extra bits aided by rotated signal constellations without any additional cost in transmission power or bandwidth. In the proposed scheme, the LDPC coded data are modulated by…

Information Theory · Computer Science 2020-09-01 Jiachen Sun , Hao Liu , Xiao Ma

One of the challenges often faced with wireless communication systems is its limited range and data-rate. Distributed Transmit Beamforming (DTB) techniques are being developed to address these two issues to provide reliable connectivity…

Signal Processing · Electrical Eng. & Systems 2018-07-18 Ismail Shakeel , Ishtiaq Ahmad , Hajime Suzuki

We consider the full-duplex two-way relay channel with direct link between two users and propose two coding schemes: a partial decode-forward scheme, and a combined decode-forward and compute-forward scheme. Both schemes use rate-splitting…

Information Theory · Computer Science 2011-08-19 Peng Zhong , Mai Vu