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This work considers optimizing LDPC codes in the physical-layer network coded two-way relay channel using noncoherent FSK modulation. The error-rate performance of channel decoding at the relay node during the multiple-access phase was…

Information Theory · Computer Science 2015-02-23 Terry Ferrett , Matthew C. Valenti

This paper presents an efficient algorithm for finding the dominant trapping sets of a low-density parity-check (LDPC) code. The algorithm can be used to estimate the error floor of LDPC codes or to be part of the apparatus to design LDPC…

Information Theory · Computer Science 2012-04-16 Mehdi Karimi , Amir H. Banihashemi

Typically, forward error correction (FEC) codes are designed based on the minimization of the error rate for a given code rate. However, for applications that incorporate hybrid automatic repeat request (HARQ) protocol and adaptive…

Information Theory · Computer Science 2018-11-07 Hossein Khoshnevis , Ian Marsland , Halim Yanikomeroglu

This paper considers density evolution for lowdensity parity-check (LDPC) and multi-edge type low-density parity-check (MET-LDPC) codes over the binary input additive white Gaussian noise channel. We first analyze three singleparameter…

Information Theory · Computer Science 2016-05-17 Sachini Jayasooriya , Mahyar Shirvanimoghaddam , Lawrence Ong , Gottfried Lechner , Sarah J. Johnson

We derive a new fast convergent Density Evolution algorithm for finding optimal rate Low-Density Parity-Check (LDPC) codes used over the binary erasure channel (BEC). The fast convergence property comes from the modified Density Evolution…

Information Theory · Computer Science 2014-09-18 Hassan Tavakoli

In this paper, we propose a new method to design low-density parity-check Hadamard (LDPC-Hadamard) codes, a type of ultimate-Shannon-limit approaching channel codes. The technique is based on applying Hadamard constraints to the check nodes…

Information Theory · Computer Science 2021-01-06 Peng W. Zhang , Francis C. M. Lau , Chiu-W. Sham

Protograph-based Raptor-like low-density parity-check codes (PBRL codes) are a recently proposed family of easily encodable and decodable rate-compatible LDPC (RC-LDPC) codes. These codes have an excellent iterative decoding threshold and…

Information Theory · Computer Science 2017-06-08 Sudarsan V. S. Ranganathan , Dariush Divsalar , Richard D. Wesel

Iterative decoders used for decoding low-density parity-check (LDPC) and moderate-density parity-check (MDPC) codes are not characterized by a deterministic decoding radius and their error rate performance is usually assessed through…

Information Theory · Computer Science 2020-02-27 Paolo Santini , Massimo Battaglioni , Marco Baldi , Franco Chiaraluce

A low-density parity-check (LDPC) code is a linear block code described by a sparse parity-check matrix, which can be efficiently represented by a bipartite Tanner graph. The standard iterative decoding algorithm, known as belief…

Information Theory · Computer Science 2016-05-17 Sachini Jayasooriya , Sarah J. Johnson , Lawrence Ong , Regina Berretta

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

In this work, we propose structured Root-Low-Density Parity-Check (LDPC) codes and design techniques for block-fading channels. In particular, Quasi-Cyclic Root-LDPC codes, Irregular repeat-accumulate Root-LDPC codes and Controlled Doping…

Information Theory · Computer Science 2015-12-09 C. T. Healy , A. G. D. Uchoa , R. C. de Lamare

For a high-rate case, it is difficult to randomly construct good low-density parity-check (LDPC) codes of short and moderate lengths because their Tanner graphs are prone to making short cycles. Also, the existing high-rate quasi-cyclic…

Information Theory · Computer Science 2016-11-18 Hosung Park , Seokbeom Hong , Jong-Seon No , Dong-Joon Shin

Most existing works on analyzing the performance of a random ensemble of low-density parity-check (LDPC) codes assume that the degree distributions of the two ends of a randomly selected edge are independent. In the paper, we take one step…

Information Theory · Computer Science 2023-04-20 Hsiao-Wen Yu , Cheng-En Lee , Ruhui Zhang , Cheng-Shang Chang , Duan-Shin Lee

This paper basically expresses the core fundamentals and brief overview of the research of R. G. GALLAGER [1] on Low-Density Parity-Check (LDPC) codes and various parameters related to LDPC codes like, encoding and decoding of LDPC codes,…

Information Theory · Computer Science 2020-09-21 Saumya Borwankar , Dhruv Shah

Raptor codes are rateless codes that achieve the capacity on the binary erasure channels. However the maximum degree of optimal output degree distribution is unbounded. This leads to a computational complexity problem both at encoders and…

Information Theory · Computer Science 2013-02-07 Kosuke Sakata , Kenta Kasai , Kohichi Sakaniwa

For efficient modulation and error control coding, the deliberate flipping approach imposes the run-length-limited(RLL) constraint by bit error before recording. From the read side, a high coding rate limits the correcting capability of RLL…

Information Theory · Computer Science 2023-10-11 Hong-fu Chou

Quantum low-density parity-check (QLDPC) codes have been proven to achieve higher minimum distances at higher code rates than surface codes. However, this family of codes imposes stringent latency requirements and poor performance under…

Information Theory · Computer Science 2024-06-26 Dimitris Chytas , Nithin Raveendran , Bane Vasić

LDPC (Low Density Parity Check) codes are among the most powerful and widely adopted modern error correcting codes. The iterative decoding algorithms required for these codes involve high computational complexity and high processing…

Hardware Architecture · Computer Science 2011-05-16 Carlo Condo , Guido Masera

For a multiple-input multiple-output (MIMO) system with unknown channel state information (CSI), a novel low-density parity check (LDPC)-coded transmission (LCT) scheme with joint pilot and data channel estimation is proposed. To fine-tune…

Information Theory · Computer Science 2023-11-14 Binghui Shi , Yongpeng Wu , Peihong Yuan , Derrick Wing Kwan Ng , Xiang-Gen Xia , Wenjun Zhang

A protograph-based low-density parity-check (LDPC) code design technique for bandwidth-efficient coded modulation is presented. The approach jointly optimizes the LDPC code node degrees and the mapping of the coded bits to the…

Information Theory · Computer Science 2015-04-15 Fabian Steiner , Georg Böcherer , Gianluigi Liva