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Traditional communication theory focuses on minimizing transmit power. However, communication links are increasingly operating at shorter ranges where transmit power can be significantly smaller than the power consumed in decoding. This…

Information Theory · Computer Science 2011-02-17 Pulkit Grover , Kristen Ann Woyach , Anant Sahai

We propose an Iterative Detection and Decoding (IDD) scheme with Low Density Parity Check (LDPC) codes for Multiple Input Multiple Output (MIMO) systems for block-fading $F = 2$ and fast fading Rayleigh channels. An IDD receiver with soft…

Information Theory · Computer Science 2014-04-09 A. G. D. Uchoa , C. T. Healy , R. C. de Lamare , P. Li

We show how the iterative decoding threshold of tailbiting spatially coupled (SC) low-density parity-check (LDPC) code ensembles can be improved over the binary input additive white Gaussian noise channel by allowing the use of different…

Information Theory · Computer Science 2018-02-19 Thomas Jerkovits , Gianluigi Liva , Alexandre Graell i Amat

In this paper, we propose an efficient decoding algorithm for short low-density parity check (LDPC) codes by carefully combining the belief propagation (BP) decoding and order statistic decoding (OSD) algorithms. Specifically, a modified BP…

Information Theory · Computer Science 2023-09-06 Weiyang Zhang , Chentao Yue , Yonghui Li , Branka Vucetic

The performance of low-density parity-check (LDPC) codes at high signal-to-noise ratios (SNRs) is known to be limited by the presence of certain sub-graphs that exist in the Tanner graph representation of the code, for example trapping sets…

Information Theory · Computer Science 2019-11-11 Homayoon Hatami , David G. M. Mitchell , Daniel J. Costello , Thomas E. Fuja

Iterative processing is widely adopted nowadays in modern wireless receivers for advanced channel codes like turbo and LDPC codes. Extension of this principle with an additional iterative feedback loop to the demapping function has proven…

Information Theory · Computer Science 2015-06-04 Salim Haddad , Amer Baghdadi , Michel Jezequel

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

Future wireless applications such as high definition video streaming, wireless cloud radio access networks, and cellular data offload are bandwidth-hungry, which highlights the need for Wi-Fi links exceeding 1 Gb/s. This article discusses…

Information Theory · Computer Science 2019-01-08 A. G. D. Uchoa , R. C. de Lamare

Non-binary low-density parity-check codes are robust to various channel impairments. However, based on the existing decoding algorithms, the decoder implementations are expensive because of their excessive computational complexity and…

Information Theory · Computer Science 2016-11-18 Chung-Li Wang , Xiaoheng Chen , Zongwang Li , Shaohua Yang

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

We address the problem of the joint sequence detection in partial-response (PR) channels and decoding of low-density parity-check (LDPC) codes. We model the PR channel and the LDPC code as a combined inference problem. We present for the…

Information Theory · Computer Science 2009-04-07 Jaime A. Anguita , Michael Chertkov , Mark A. Neifeld , Bane Vasic

Low-density parity-check (LDPC) codes together with belief propagation (BP) decoding yield exceptional error correction capabilities in the large block length regime. Yet, there remains a gap between BP decoding and maximum likelihood…

Information Theory · Computer Science 2025-01-22 Jonathan Mandelbaum , Holger Jäkel , Laurent Schmalen

We propose the application of multiple-bases belief-propagation, an optimized iterative decoding method, to a set of rate-1/2 LDPC codes from the IEEE 802.16e WiMAX standard. The presented approach allows for improved decoding performance…

Information Theory · Computer Science 2008-09-09 Thorsten Hehn , Johannes B. Huber , Stefan Laendner

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

We study the energy performance of random linear network coding for time division duplexing channels. We assume a packet erasure channel with nodes that cannot transmit and receive information simultaneously. The sender transmits coded data…

Information Theory · Computer Science 2009-01-05 Daniel E. Lucani , Milica Stojanovic , Muriel Médard

In this letter, we present a hybrid iterative decoder for non-binary low density parity check (LDPC) codes over binary erasure channel (BEC), based on which the recursion of the erasure probability is derived to design non-binary LDPC codes…

Signal Processing · Electrical Eng. & Systems 2020-03-04 Yang Yu , Wen Chen , Lili Wei

The paper is focused on the tradeoff between performance and decoding complexity per iteration for LDPC codes in terms of their gap (in rate) to capacity. The study of this tradeoff is done via information-theoretic bounds which also enable…

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

The error floor phenomenon, associated with iterative decoders, is one of the most significant limitations to the applications of low-density parity-check (LDPC) codes. A variety of techniques from code design to decoder implementation have…

Information Theory · Computer Science 2022-02-16 Yaoyu Tao , Shuanghong Sun , Zhengya Zhang

A network coding-based scheme is proposed to improve the energy efficiency of distributed storage systems in WSNs (wireless sensor networks), which mainly focuses on two problems: firstly, consideration is given to effective distributed…

Networking and Internet Architecture · Computer Science 2013-04-08 Wang Lei , Yang Yuwang , Zhao Wei , Lu Wei

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