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In this paper, we apply the Clique Lov\'asz Local Lemma to provide sufficient conditions on memory and lifting degree for removing certain harmful combinatorial structures in spatially-coupled (SC) codes that negatively impact decoding…

Information Theory · Computer Science 2025-09-23 Lei Huang

In this paper we study the iterative decoding threshold performance of non-binary spatially-coupled low-density parity-check (NB-SC-LDPC) code ensembles for both the binary erasure channel (BEC) and the binary-input additive white Gaussian…

Information Theory · Computer Science 2016-11-18 Lai Wei , Toshiaki Koike-Akino , David G. M. Mitchell , Thomas E. Fuja , Daniel J. Costello

Certain binary asymmetric channels, such as Z-channels in which one of the two crossover probabilities is zero, demand optimal ones densities different from 50%. Some broadcast channels, such as broadcast binary symmetric channels (BBSC)…

Information Theory · Computer Science 2011-07-11 Jiadong Wang , Thomas Courtade , Tsung-Yi Chen , Bike Xie , Richard Wesel

Families of generalized spatially-coupled low-density parity-check (GSC-LDPC) code ensembles can be formed by terminating protograph-based generalized LDPC convolutional (GLDPCC) codes. It has previously been shown that ensembles of…

Information Theory · Computer Science 2016-11-18 David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello

The finite-length performance of spatially-coupled low-density parity-check (SC-LDPC) codes is strongly affected by short cycle configurations and the harmful structures induced by them. This paper studies SC-LDPC code design directly at…

Information Theory · Computer Science 2026-05-19 Lei Huang

Turbo coding is a powerful class of forward error correcting codes, which can achieve performances close to the Shannon limit. The turbo principle can be applied to the problem of side-information source coding, and we investigate here its…

Information Theory · Computer Science 2007-07-16 Kim-Chi Nguyen , Gilles Van Assche , Nicolas J. Cerf

In this paper, we compare the finite-length performance of protograph-based spatially coupled low-density parity-check (SC-LDPC) codes and LDPC block codes (LDPC-BCs) over GF(q). In order to reduce computational complexity and latency, a…

Information Theory · Computer Science 2014-08-13 Kechao Huang , David G. M. Mitchell , Lai Wei , Xiao Ma , Daniel J. Costello

Fast SC decoding overcomes the latency caused by the serial nature of the SC decoding by identifying new nodes in the upper levels of the SC decoding tree and implementing their fast parallel decoders. In this work, we first present a novel…

We present sparse topical coding (STC), a non-probabilistic formulation of topic models for discovering latent representations of large collections of data. Unlike probabilistic topic models, STC relaxes the normalization constraint of…

Machine Learning · Computer Science 2012-02-20 Jun Zhu , Eric P. Xing

In this paper, we present a simple technique to approximate the performance union bound of a punctured turbo code. The bound approximation exploits only those terms of the transfer function that have a major impact on the overall…

Information Theory · Computer Science 2022-03-08 Ioannis Chatzigeorgiou , Miguel R. D. Rodrigues , Ian J. Wassell , Rolando Carrasco

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…

Information Theory · Computer Science 2007-07-13 Alexandre Graell i Amat , Guido Montorsi , Francesca Vatta

Turbo codes and CRC codes are usually decoded separately according to the serially concatenated inner codes and outer codes respectively. In this letter, we propose a hybrid decoding algorithm of turbo-CRC codes, where the outer codes, CRC…

Signal Processing · Electrical Eng. & Systems 2020-03-26 Yuejun Wei , Ming Jiang , Wen Chen , Yuhang Yang

Polar codes are the first provable capacity-achieving forward error correction (FEC) codes. In general polar codes can be decoded via either successive cancellation (SC) or belief propagation (BP) decoding algorithm. However, to date…

Information Theory · Computer Science 2014-11-27 Bo Yuan , Keshab K. Parhi

Polar codes are a class of channel capacity achieving codes that has been selected for the next generation of wireless communication standards. Successive-cancellation (SC) is the first proposed decoding algorithm, suffering from mediocre…

Information Theory · Computer Science 2018-10-09 Furkan Ercan , Carlo Condo , Seyyed Ali Hashemi , Warren J. Gross

Encoding static images into spike trains is a fundamental step for enabling Spiking Neural Networks (SNNs) to process visual information. However, widely used methods such as rate coding, Poisson encoding, and time-to-first-spike (TTFS)…

Neural and Evolutionary Computing · Computer Science 2026-04-23 Minchi Hu

In an intelligent transportation system, the key problem of traffic forecasting is how to extract periodic temporal dependencies and complex spatial correlations. Current state-of-the-art methods for predicting traffic flow are based on…

Machine Learning · Computer Science 2022-03-01 Zichuan Liu , Rui Zhang , Chen Wang , Zhu Xiao , Hongbo Jiang

This work presents a high throughput and energy efficient multicore (MC) successive cancellation (SC) decoder architecture for polar codes. SC is a low-complexity decoding algorithm with a set of sequential operations. The sequential…

Hardware Architecture · Computer Science 2021-08-30 Altuğ Süral , Ertuğrul Kolağasıoğlu

The equivalence of peeling decoding (PD) and Belief Propagation (BP) for low-density parity-check (LDPC) codes over the binary erasure channel is analyzed. Modifying the scheduling for PD, it is shown that exactly the same variable nodes…

Information Theory · Computer Science 2016-04-19 Markus Stinner , Luca Barletta , Pablo M. Olmos

Turbo-Codes (TC) are a family of convolutional codes enabling Forward-Error-Correction (FEC) while approaching the theoretical limit of channel capacity predicted by Shannons theorem. One of the bottlenecks of a Turbo Encoder (TE) lies in…

Information Theory · Computer Science 2023-08-30 Ohad Boxerman , Moshe Bensimon , Shlomo Greenberg , Yehuda Ben-Shimol

In the sixth generation (6G), ultra-reliable low-latency communications (URLLC) will be further developed to achieve TKu extreme connectivity. On the premise of ensuring the same rate and reliability, the spatial domain advantage of…

Information Theory · Computer Science 2025-04-02 Feng Ye , Xiaohu You , Jiamin Li , Chen Ji , Chuan Zhang