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Novel sparse regression LDPC (SR-LDPC) codes exhibit excellent performance over additive white Gaussian noise (AWGN) channels in part due to their natural provision of shaping gains. Though SR-LDPC-like codes have been considered within the…

信息论 · 计算机科学 2024-02-13 Jamison R. Ebert , Jean-Francois Chamberland , Krishna R. Narayanan

This paper presents a design technique for obtaining regular time-invariant low-density parity-check convolutional (RTI-LDPCC) codes with low complexity and good performance. We start from previous approaches which unwrap a low-density…

信息论 · 计算机科学 2016-11-17 Marco Baldi , Giovanni Cancellieri , Franco Chiaraluce

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…

信息论 · 计算机科学 2020-02-27 Paolo Santini , Massimo Battaglioni , Marco Baldi , Franco Chiaraluce

We obtain exact expressions for the asymptotic behaviour of the average probability of the block decoding error for ensembles of regular low density parity check error correcting codes, by employing diagrammatic techniques. Furthermore, we…

统计力学 · 物理学 2007-05-23 J. van Mourik , Y. Kabashima

The connections between variable nodes and check nodes have a great influence on the performance of low-density parity-check (LDPC) codes. Inspired by the unique structure of polar code's generator matrix, we proposed a new method of…

信息论 · 计算机科学 2019-12-06 Binbin Gao , Huarui Yin , Zhengdao Wang

This paper is concerned with the design of capacity approaching ensembles of Low-Densiy Parity-Check (LDPC) codes for correlated sources. We consider correlated binary sources where the data is encoded independently at each source through a…

信息论 · 计算机科学 2017-01-30 Mohamad Khas Mohamadi , Hamid Saeedi , Reza Asvadi

This paper investigates properties of polar codes that can be potentially useful in real-world applications. We start with analyzing the performance of finite-length polar codes over the binary erasure channel (BEC), while assuming belief…

信息论 · 计算机科学 2012-11-12 Ali Eslami , H. Pishro-Nik

This paper proposes a method for designing error correction codes by combining a known coding scheme with an autoencoder. Specifically, we integrate an LDPC code with a trained autoencoder to develop an error correction code for intractable…

信息论 · 计算机科学 2020-03-03 Eren Balevi , Jeffrey G. Andrews

Generalized low-density parity-check (GLDPC) codes are a class of LDPC codes in which the standard single parity check (SPC) constraints are replaced by constraints defined by a linear block code. These stronger constraints typically result…

信息论 · 计算机科学 2021-04-19 David G. M. Mitchell , Pablo M. Olmos , Michael Lentmaier , Daniel J. Costello

In this paper, we provide a performance analysis of a new class of serial concatenated convolutional codes (SCCC) where the inner encoder can be punctured beyond the unitary rate. The puncturing of the inner encoder is not limited to inner…

信息论 · 计算机科学 2007-07-13 Alexandre Graell i Amat , Guido Montorsi , Francesca Vatta

We introduce Noise Recycling, a method that substantially enhances decoding performance of orthogonal channels subject to correlated noise without the need for joint encoding or decoding. The method can be used with any combination of…

信息论 · 计算机科学 2020-06-11 Alejandro Cohen , Amit Solomon , Ken R. Duffy , Muriel Médard

This work continues the study of linear error correcting codes against adversarial insertion deletion errors (insdel errors). Previously, the work of Cheng, Guruswami, Haeupler, and Li \cite{CGHL21} showed the existence of asymptotically…

信息论 · 计算机科学 2023-03-31 Kuan Cheng , Zhengzhong Jin , Xin Li , Zhide Wei , Yu Zheng

In this paper, we investigate the error floors of non-binary low-density parity-check (LDPC) codes transmitted over the memoryless binary-input output-symmetric (MBIOS) channels. We provide a necessary and sufficient condition for…

信息论 · 计算机科学 2015-05-28 Takayuki Nozaki , Kenta Kasai , Kohichi Sakaniwa

This paper examines the construction of low-density parity-check (LDPC) codes from transversal designs based on sets of mutually orthogonal Latin squares (MOLS). By transferring the concept of configurations in combinatorial designs to the…

信息论 · 计算机科学 2018-07-03 Alexander Gruner , Michael Huber

Low-density parity-check (LDPC) codes have been used for communication over a two-user Gaussian broadcast channel. It has been shown in the literature that the optimal decoding of such system requires joint decoding of both user messages at…

信息论 · 计算机科学 2016-11-18 Mahdi Ramezani , Masoud Ardakani

A joint scheme for the channel coding and spectrum spreading communication system is proposed in this paper. The Bit Error Rate (BER) performance of the joint proposed scheme is evaluated and compared with the case of channel coding scheme…

信息论 · 计算机科学 2021-08-24 Hadi Khodaei Jooshin , Mahdi Nangir

In this letter, we propose a reliability-based windowed decoding scheme for spatially-coupled (SC) low-density parity-check (LDPC) codes. To mitigate the error propagation along the sliding windowed decoder of the SC LDPC codes, a partial…

信息论 · 计算机科学 2018-05-10 Peng Kang , Yixuan Xie , Lei Yang , Jinhong Yuan

In this paper the ensemble of codes formed by a serial concatenation of a repetition code with multiple accumulators connected through random interleavers is considered. Based on finite length weight enumerators for these codes, asymptotic…

信息论 · 计算机科学 2008-10-21 Joerg Kliewer , Kamil S. Zigangirov , Christian Koller , Daniel J. Costello

There are rising scenarios in communication systems, where the noises exhibit impulsive behavior and are not adequate to be modeled as the Gaussian distribution. The generalized Gaussian distribution instead is an effective model to…

信息论 · 计算机科学 2022-05-12 Jinzhe Pan , Wai Ho Mow

Introducing controlled overlap among a few repetition blocks yields a fourfold asymptotic rate improvement while preserving an average stabilizer weight of \(4\). Substituting the overlapped outer layer with an LDPC code further produces a…

信息论 · 计算机科学 2025-11-21 En-Jui Chang