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A new method for low-complexity near-maximum-likelihood (ML) decoding of low-density parity-check (LDPC) codes over the additive white Gaussian noise channel is presented. The proposed method termed belief-propagation--list erasure decoding…

Information Theory · Computer Science 2017-05-29 Irina E. Bocharova , Boris D. Kudryashov , Vitaly Skachek , Yauhen Yakimenka

Differential distributed space-time coding (D-DSTC) has been considered to improve both diversity and data-rate in cooperative communications in the absence of channel information. However, conventionally, it is assumed that relays are…

Information Theory · Computer Science 2016-11-17 M. R. Avendi , Sina Poorkasmaei , Hamid Jafarkhani

Spatially coupled turbo-like codes (SC-TCs) have been shown to have excellent decoding thresholds due to the threshold saturation effect. Furthermore, even for moderate block lengths, simulation results demonstrate very good bit error rate…

Information Theory · Computer Science 2018-04-06 Saeedeh Moloudi , Michael Lentmaier , Alexandre Graell i Amat

In this paper, we study the density evolution analysis of spatially coupled low-density parity-check (SC-LDPC) codes over binary input additive white Gaussian noise (BIAWGN) channels under the belief propagation (BP) decoding algorithm.…

Information Theory · Computer Science 2015-10-19 Md. Noor-A-Rahim , Gottfried Lechner , Khoa D. Nguyen

We consider the problem of transmitting correlated data after independent encoding to a central receiver through orthogonal channels. We assume that the channel state information is not known at the transmitter. The receiver has access to…

Information Theory · Computer Science 2010-07-07 Arvind Yedla , Henry D. Pfister , Krishna R. Narayanan

Polar codes are the first class of constructive channel codes achieving the symmetric capacity of the binary-input discrete memoryless channels. But the corresponding code length is limited to the power of two. In this paper, we establish a…

Information Theory · Computer Science 2017-12-05 Kai Niu , Jincheng Dai , Kai Chen , Jiaru Lin , Q. T. Zhang , Athanasios V. Vasilakos

This paper investigates low-latency streaming codes for a three-node relay network. The source transmits a sequence of messages (streaming messages) to the destination through the relay between them, where the first-hop channel from the…

Information Theory · Computer Science 2022-03-14 Silas L. Fong , Ashish Khisti , Baochun Li , Wai-Tian Tan , Xiaoqing Zhu , John Apostolopoulos

We present Kovalenko's full-rank limit as a tight lower bound for decoding error probability of LDPC codes and LT codes over BEC. From the limit, we derive a full-rank overhead as a lower bound for stable overheads for successful…

Information Theory · Computer Science 2016-11-17 Ki-Moon Lee , Hayder Radha , Beom-Jin Kim

We study a new encoding scheme for lossy source compression based on spatially coupled low-density generator-matrix codes. We develop a belief-propagation guided-decimation algorithm, and show that this algorithm allows to approach the…

Information Theory · Computer Science 2012-02-23 Vahid Aref , Nicolas Macris , Rudiger Urbanke , Marc Vuffray

We propose a novel encoding/transmission scheme called continuous chain (CC) transmission that is able to improve the finite-length performance of a system using spatially-coupled low-density parity-check (SC-LDPC) codes. In CC…

Information Theory · Computer Science 2019-10-04 Pablo M. Olmos , David G. M. Mitchell , Dmitri Truhachev , Daniel J. Costello

In this paper we investigate the effect of spatial coupling applied to the recently-proposed coded slotted ALOHA (CSA) random access protocol. Thanks to the bridge between the graphical model describing the iterative interference…

Information Theory · Computer Science 2016-11-17 Gianluigi Liva , Enrico Paolini , Michael Lentmaier , Marco Chiani

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

This paper considers a multi-source multi-relay network, in which relay nodes employ a coding scheme based on random linear network coding on source packets and generate coded packets. If a destination node collects enough coded packets, it…

Information Theory · Computer Science 2022-03-08 Amjad Saeed Khan , Ioannis Chatzigeorgiou

This paper investigates the design of spatially coupled low-density parity-check (SC-LDPC) codes constructed from connected-chain ensembles for bit-interleaved coded modulation (BICM) schemes. For short coupling lengths, connecting multiple…

Information Theory · Computer Science 2021-07-08 Yihuan Liao , Min Qiu , Jinhong Yuan

Sparse superposition codes, also called sparse regression codes (SPARCs), are a class of codes for efficient communication over the AWGN channel at rates approaching the channel capacity. In a standard SPARC, codewords are sparse linear…

Information Theory · Computer Science 2021-06-25 Cynthia Rush , Kuan Hsieh , Ramji Venkataramanan

We consider communication over the binary erasure channel (BEC) using low-density parity-check (LDPC) code and belief propagation (BP) decoding. The bit error probability for infinite block length is known by density evolution and it is…

Information Theory · Computer Science 2008-01-23 Ryuhei Mori , Kenta Kasai , Tomoharu Shibuya , Kohichi Sakaniwa

Locally decodable channel codes form a special class of error-correcting codes with the property that the decoder is able to reconstruct any bit of the input message from querying only a few bits of a noisy codeword. It is well known that…

Information Theory · Computer Science 2013-08-28 Ali Makhdoumi , Shao-Lun Huang , Muriel Medard , Yury Polyanskiy

Assuming iterative decoding for binary erasure channels (BECs), a novel tree-based technique for upper bounding the bit error rates (BERs) of arbitrary, finite low-density parity-check (LDPC) codes is provided and the resulting bound can be…

Information Theory · Computer Science 2007-07-13 Chih-Chun Wang , Sanjeev R. Kulkarni , H. Vincent Poor

In this paper, we introduce a new practical and general method for solving the main problem of designing the capacity approaching, optimal rate, irregular low-density parity-check (LDPC) code ensemble over binary erasure channel (BEC).…

Information Theory · Computer Science 2016-11-18 H. Tavakoli , M. Ahmadian Attari , M. Reza Peyghami

We consider error decoding of locally repairable codes (LRC) and partial MDS (PMDS) codes through interleaved decoding. For a specific class of LRCs we investigate the success probability of interleaved decoding. For PMDS codes we show that…

Information Theory · Computer Science 2019-07-09 Lukas Holzbaur , Sven Puchinger , Antonia Wachter-Zeh