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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 and performance of delayed bit-interleaved coded modulation (DBICM) with low-density parity-check (LDPC) codes. For Gray labeled square $M$-ary quadrature amplitude modulation (QAM) constellations, we…

Information Theory · Computer Science 2021-03-04 Yihuan Liao , Min Qiu , Jinhong Yuan

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

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 novel adaptive binary decoding algorithm for LDPC codes is proposed, which reduces the decoding complexity while having a comparable or even better performance than corresponding non-adaptive alternatives. In each iteration the variable…

Information Theory · Computer Science 2009-04-24 Ingmar Land , Gottfried Lechner , Lars K. Rasmussen

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

A new coded modulation scheme is proposed. At the transmitter, the concatenation of a distribution matcher and a systematic binary encoder performs probabilistic signal shaping and channel coding. At the receiver, the output of a bitwise…

Information Theory · Computer Science 2015-04-23 Georg Böcherer , Patrick Schulte , Fabian Steiner

Low-density parity-check (LDPC) coding for a multitude of equal-capacity channels is studied. First, based on numerous observations, a conjecture is stated that when the belief propagation decoder converges on a set of equal-capacity…

Information Theory · Computer Science 2016-11-17 Ali Sanaei , Mahdi Ramezani , Masoud Ardakani

Distributed computing frameworks such as MapReduce and Spark are often used to process large-scale data computing jobs. In wireless scenarios, exchanging data among distributed nodes would seriously suffer from the communication bottleneck…

Information Theory · Computer Science 2023-10-25 Youlong Wu , Zhenhao Huang , Kai Yuan , Shuai Ma , Yue Bi

In this paper, the application of non-binary low-density parity-check (NBLDPC) codes to MIMO systems which employ hundreds of antennas at both the transmitter and the receiver has been proposed. Together with the well-known low-complexity…

Information Theory · Computer Science 2012-11-22 Puripong Suthisopapan , Kenta Kasai , Anupap Meesomboon , Virasit Imtawil

In this paper, we construct protograph-based spatially coupled low-density parity-check (SC-LDPC) codes by coupling together a series of L disjoint, or uncoupled, LDPC code Tanner graphs into a single coupled chain. By varying L, we obtain…

Information Theory · Computer Science 2016-11-17 David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello

Linear nested codes, where two or more sub-codes are nested in a global code, have been proposed as candidates for reliable multi-terminal communication. In this paper, we consider nested array-based spatially coupled low-density…

Information Theory · Computer Science 2021-02-23 Salman Habib , David G. M. Mitchell , Joerg Kliewer

In this paper, we consider the problem of iterative detection and decoding (IDD) for multi-antenna systems using low-density parity-check (LDPC) codes. The proposed IDD system consists of a soft-input soft-output parallel interference (PIC)…

Information Theory · Computer Science 2013-04-24 Jingjing Liu , Peng Li , Rodrigo C. de Lamare

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

In this paper a new message passing algorithm, which takes advantage of both tree-based re-parameterization and the knowledge of short cycles, is introduced for the purpose of decoding LDPC codes with short block lengths. The proposed…

Information Theory · Computer Science 2014-03-25 J. Li , R. C. de Lamare

The paper presents bounds on the achievable rates and the decoding complexity of low-density parity-check (LDPC) codes. It is assumed that the communication of these codes takes place over statistically independent parallel channels where…

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

A new construction is proposed for low density parity check (LDPC) codes using quadratic permutation polynomials over finite integer rings. The associated graphs for the new codes have both algebraic and pseudo-random nature, and the new…

Information Theory · Computer Science 2007-07-13 Oscar Y. Takeshita

Block-fading (BF) channel, also known as slow-fading channel, is a type of simple and practical channel model that can characterize the primary feature of a number of wireless-communication applications with low to moderate mobility.…

Information Theory · Computer Science 2021-07-22 Yi Fang , Pingping Chen , Guofa Cai , Francis C. M. Lau , Soung Chang Liew , Guojun Han

Coded modulation is a key technique to increase the spectral efficiency of coherent optical communication systems. Two popular strategies for coded modulation are turbo trellis-coded modulation (TTCM) and bit-interleaved coded modulation…

Information Theory · Computer Science 2017-10-12 Eric Sillekens , Alex Alvarado , Chigo Okonkwo , Benn C. Thomsen

Protograph low-density-parity-check (LDPC) are considered to design near-capacity low-rate codes over the binary erasure channel (BEC) and binary additive white Gaussian noise (BIAWGN) channel. For protographs with degree-one variable nodes…

Information Theory · Computer Science 2018-05-03 Asit Kumar Pradhan , Andrew Thangaraj