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In this paper, we propose a new coding scheme for the general relay channel. This coding scheme is in the form of a block Markov code. The transmitter uses a superposition Markov code. The relay compresses the received signal and maps the…

Information Theory · Computer Science 2007-10-05 Wei Kang , Sennur Ulukus

Spatially-Coupled (SC)-LDPC codes are known to have outstanding error-correction performance and low decoding latency. Whereas previous works on LDPC and SC-LDPC codes mostly take either an asymptotic or a finite-length design approach, in…

Information Theory · Computer Science 2022-09-02 Homa Esfahanizadeh , Eshed Ram , Yuval Cassuto , Lara Dolecek

This paper investigates an efficient and practical information reconciliation method in the case where two parties have access to correlated continuous random variables. We show that reconciliation is a special case of channel coding and…

Information Theory · Computer Science 2007-07-13 Matthieu Bloch , Andrew Thangaraj , Steven W. McLaughlin

Hardware-friendly quantum low-density parity-check (QLDPC) decoders are commonly built upon belief propagation (BP) processing. Yet, quantum degeneracy often prevents BP from achieving reliable convergence. To overcome this fundamental…

Quantum Physics · Physics 2025-11-18 Lorenzo Valentini , Diego Forlivesi , Andrea Talarico , Marco Chiani

Quantum low-density parity-check (QLDPC) codes are promising candidates for error correction in quantum computers. One of the major challenges in implementing QLDPC codes in quantum computers is the lack of a universal decoder. In this…

Quantum Physics · Physics 2025-02-18 Sisi Miao , Alexander Schnerring , Haizheng Li , Laurent Schmalen

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

In this work, we analyze efficient window shift schemes for windowed decoding of spatially coupled low-density parity-check (SC-LDPC) codes, which is known to yield close-tooptimal decoding results when compared to full belief propagation…

Information Theory · Computer Science 2018-10-03 Kevin Klaiber , Sebastian Cammerer , Laurent Schmalen , Stephan ten Brink

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

This paper presents a novel deep joint source-channel coding (DeepJSCC) scheme for image transmission over a half-duplex cooperative relay channel. Specifically, we apply DeepJSCC to two basic modes of cooperative communications, namely…

Information Theory · Computer Science 2024-03-20 Chenghong Bian , Yulin Shao , Haotian Wu , Deniz Gunduz

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

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…

Information Theory · Computer Science 2016-11-18 Mahdi Ramezani , Masoud Ardakani

Message-passing iterative decoders for low-density parity-check (LDPC) block codes are known to be subject to decoding failures due to so-called pseudo-codewords. These failures can cause the large signal-to-noise ratio performance of…

Information Theory · Computer Science 2007-07-13 Roxana Smarandache , Ali E. Pusane , Pascal O. Vontobel , Daniel J. Costello

In this study, we investigate the characteristics of scheduling sequences that enable efficient decoding of generalized low-density parity-check (GLDPC) codes under the layered message-passing algorithm. In particular, we show that…

Information Theory · Computer Science 2026-04-28 Qingqing Peng , Dongxu Chang , Guiying Yan , Guanghui Wang

Graph based codes such as low density parity check (LDPC) codes have been shown promising for the information reconciliation phase in quantum key distribution (QKD). However, existing graph coding schemes have not fully utilized the…

Information Theory · Computer Science 2020-01-06 Siyi Yang , Murat Can Sarihan , Kai-Chi Chang , Chee Wei Wong , Lara Dolecek

Rate-matching of low-density parity-check (LDPC) codes enables a single code description to support a wide range of code lengths and rates. In 5G NR, rate matching is accomplished by extending (lifting) a base code to a desired target…

Information Theory · Computer Science 2024-10-29 Reinhard Wiesmayr , Darja Nonaca , Chris Dick , Christoph Studer

We design and assess some practical low-density parity-check (LDPC) coded transmission schemes for the Gaussian broadcast channel with confidential messages (BCC). This channel model is different from the classical wiretap channel model as…

Information Theory · Computer Science 2016-11-15 Marco Baldi , Nicola Maturo , Giacomo Ricciutelli , Franco Chiaraluce

We show in this work that reinforcement learning can be successfully applied to decoding short to moderate length sparse graph-based channel codes. Specifically, we focus on low-density parity check (LDPC) codes, which for example have been…

Information Theory · Computer Science 2020-10-20 Salman Habib , Allison Beemer , Joerg Kliewer

Spatially Coupled Low-Density Parity-Check (SC-LDPC) codes offer excellent decoding performance and can be elegantly decoded with a Windowed Decoder (WD). We determine an efficient WD configuration with low control overhead. For fair…

Signal Processing · Electrical Eng. & Systems 2020-04-28 Janik Frenzel , Stefan Müller-Weinfurtner , Johannes Huber , Ralf Müller

In this paper, we propose new coupled codes constructed by overlapping circular spatially-coupled low-density parity-check (SC-LDPC) codes, which show better asymptotic and finite-length decoding performance compared to the conventional…

Information Theory · Computer Science 2018-03-28 Heeyoul Kwak , Bohwan Jun , Pilwoong Yang , Jong-Seon No , Dong-Joon Shin

This paper considers the achievable rates and decoding complexity of low-density parity-check (LDPC) codes over statistically independent parallel channels. The paper starts with the derivation of bounds on the conditional entropy of the…

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