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In this paper, a new method for decoding Low Density Parity Check (LDPC) codes, based on Multi-Layer Perceptron (MLP) neural networks is proposed. Due to the fact that in neural networks all procedures are processed in parallel, this method…

Information Theory · Computer Science 2014-11-14 Alireza Karami , Mahmoud Ahmadian Attari

Sparse Network Coding (SNC) has been a promising network coding scheme as an improvement for Random Linear Network Coding (RLNC) in terms of the computational complexity. However, in this literature, there has been no analytical expressions…

Information Theory · Computer Science 2019-07-30 Hadi Sehat , Peyman Pahlevani

We show that spatially coupled low-density parity-check (LDPC) codes yield robust performance over changing intersymbol interfere (ISI) channels with optimal and suboptimal detectors. We compare the performance with classical LDPC code…

Information Theory · Computer Science 2024-04-19 Mgeni Makambi Mashauri , Alexandre Graell i Amat , Michael Lentmaier

Inspired by compressive sensing principles, we propose novel error control coding techniques for communication systems. The information bits are encoded in the support and the non-zero entries of a sparse signal. By selecting a dictionary…

Information Theory · Computer Science 2021-02-09 Madhusudan Kumar Sinha , Arun Pachai Kannu

Low-Density Parity-Check (LDPC) codes received much attention recently due to their capacity-approaching performance. The iterative message-passing algorithm is a widely adopted decoding algorithm for LDPC codes \cite{Kschischang01}. An…

Information Theory · Computer Science 2009-08-27 Xudong Ma , En-hui Yang

We initiate the probabilistic analysis of linear programming (LP) decoding of low-density parity-check (LDPC) codes. Specifically, we show that for a random LDPC code ensemble, the linear programming decoder of Feldman et al. succeeds in…

Information Theory · Computer Science 2016-11-15 Constantinos Daskalakis , Alexandros G. Dimakis , Richard M. Karp , Martin J. Wainwright

Spatially coupled low-density parity-check codes show an outstanding performance under the low-complexity belief propagation (BP) decoding algorithm. They exhibit a peculiar convergence phenomenon above the BP threshold of the underlying…

Information Theory · Computer Science 2013-07-16 Vahid Aref , Laurent Schmalen , Stephan ten Brink

In this study, we propose partitioned complementary sequences (CSs) where the gaps between the clusters encode information bits to achieve low peak-to-average-power ratio (PAPR) orthogonal frequency division multiplexing (OFDM) symbols. We…

Information Theory · Computer Science 2021-09-16 Alphan Sahin

In this paper we study the iterative decoding threshold performance of non-binary spatially-coupled low-density parity-check (NB-SC-LDPC) code ensembles for both the binary erasure channel (BEC) and the binary-input additive white Gaussian…

Information Theory · Computer Science 2016-11-18 Lai Wei , Toshiaki Koike-Akino , David G. M. Mitchell , Thomas E. Fuja , Daniel J. Costello

Point-to-multipoint communications are expected to play a pivotal role in next-generation networks. This paper refers to a cellular system transmitting layered multicast services to a multicast group of users. Reliability of communications…

Information Theory · Computer Science 2016-11-17 Andrea Tassi , Ioannis Chatzigeorgiou , Daniel E. Lucani

We investigate the use of Gallager's low-density parity-check (LDPC) codes in a broadcast channel, one of the fundamental models in network information theory. Combining linear codes is a standard technique in practical network…

Statistical Mechanics · Physics 2009-11-07 Kazutaka Nakamura , Robert Morelos-Zaragoza , David Saad , Yoshiyuki Kabashima

The linear error-correcting codes are known to be well suited for battling and correcting the burst errors caused by noise in the wireless data transmission system. However, different types of codes offer different decoding and…

Signal Processing · Electrical Eng. & Systems 2019-09-24 Nima Taherkhani , Merve Apalak , Kamran Kiasaleh

Spatially coupled low-density parity-check (SC-LDPC) codes are sparse graph codes that have recently become of interest due to their capacity-approaching performance on memoryless binary input channels. In this paper, we unify all existing…

Information Theory · Computer Science 2017-10-11 Allison Beemer , Salman Habib , Christine A. Kelley , Joerg Kliewer

Upcoming modern communications are based on 5G specifications and aim at providing solutions for novel vertical industries. One of the major changes of the physical layer is the use of Low-Density Parity-Check (LDPC) code for channel…

Signal Processing · Electrical Eng. & Systems 2020-07-16 Pol Henarejos , Miguel Ángel Vázquez

Ultra-reliable and low-latency communications (URLLC) partakes a major role in 5G networks for mission-critical applications. Sparse vector coding (SVC) appears as a strong candidate for future URLLC networks by enabling superior…

Signal Processing · Electrical Eng. & Systems 2020-04-20 Emre Arslan , Ali Tugberk Dogukan , Ertugrul Basar

Recently, it was found that clipping can significantly improve the section error rate (SER) performance of sparse regression (SR) codes if an optimal clipping threshold is chosen. In this paper, we propose irregularly clipped SR codes,…

Information Theory · Computer Science 2021-06-04 Wencong Li , Lei Liu , Brian M. Kurkoski

We analyze the finite-length performance of spatially coupled low-density parity-check (SC-LDPC) codes under window decoding over the binary erasure channel. In particular, we propose a refinement of the scaling law by Olmos and Urbanke for…

Information Theory · Computer Science 2020-08-26 Roman Sokolovskii , Alexandre Graell i Amat , Fredrik Brännström

Recently, the sparse vector code (SVC) is emerging as a promising solution for short-packet transmission in massive machine type communication (mMTC) as well as ultra-reliable and low-latency communication (URLLC). In the SVC process, the…

Information Theory · Computer Science 2022-09-02 Linjie Yang , Pingzhi Fan

Most low-density parity-check (LDPC) code constructions are considered over finite fields. In this work, we focus on regular LDPC codes over integer residue rings and analyze their performance with respect to the Lee metric. Their…

Information Theory · Computer Science 2024-08-01 Jessica Bariffi , Hannes Bartz , Gianluigi Liva , Joachim Rosenthal

In wireless communications, spatial diversity techniques, such as space-time block code (STBC) and single-input multiple-output (SIMO), are employed to strengthen the robustness of the transmitted signal against channel fading. This paper…

Information Theory · Computer Science 2012-08-14 Yi Fang , Pingping Chen , Lin Wang , Francis C. M. Lau , Kai-Kit Wong
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