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The goal of the paper is to study specific properties of nonbinary low-density parity-check (NB LDPC) codes when used in coded modulation systems. The paper is focused on the practically important NB LDPC codes over extensions of the Galois…

Information Theory · Computer Science 2022-05-25 Irina E. Bocharova , Boris D. Kudryashov , Evgenii P. Ovsyannikov , Vitaly Skachek

For decades, cellular networks have greatly evolved to support high data rates over reliable communication. Hybrid automatic-repeat-request (ARQ) is one of the techniques to make such improvement possible. However, this advancement is…

Information Theory · Computer Science 2012-09-18 Hyukjoon Kwon , Jungwon Lee , Inyup Kang

Quantum computing has a potential to accelerate the data processing efficiency, especially in machine learning, by exploiting special features such as the quantum interference. The major challenge in this application is that, in general,…

Integrated sensing and communications is regarded as a key enabling technology in the sixth generation networks, where a unified waveform, such as orthogonal frequency division multiplexing (OFDM) signal, is adopted to facilitate both…

Signal Processing · Electrical Eng. & Systems 2023-12-27 Zhen Du , Fan Liu , Yifeng Xiong , Tony Xiao Han , Yonina C. Eldar , Shi Jin

The problem of designing bit-to-pattern mappings and power allocation schemes for orthogonal frequency-division multiplexing (OFDM) systems that employ subcarrier index modulation (IM) is considered. We assume the binary source conveys a…

Information Theory · Computer Science 2020-01-08 Justin P. Coon , Mihai-Alin Badiu , Ye Liu , Ferhat Yarkin , Shuping Dang

For a binary system specified by the density operators r0 and r1 and by the prior probabilities q0 and q1, Helstrom's theory permits the evaluation of the optimal measurement operators and of the corresponding maximum correct detection…

Information Theory · Computer Science 2010-10-27 Gianfranco Cariolaro , Alberto Vigato

Efficient decoding is crucial to high-throughput and power-sensitive wireless communication scenarios. A theoretical analysis of the performance-complexity tradeoff toward low-complexity decoding is required for a better understanding of…

Information Theory · Computer Science 2025-11-12 Qingqing Peng , Dawei Yin , Dongxu Chang , Yuan Li , Huazi Zhang , Guiying Yan , Guanghui Wang

The linear programming decoder will occasionally output fractional-valued sequences that do not correspond to binary codewords - such outputs are termed nontrivial pseudocodewords. Feldman et al. have demonstrated that it is precisely the…

Information Theory · Computer Science 2024-10-30 Nathan Axvig

The optical fiber multiple-input multiple-output (MIMO) channel with intensity modulation and direct detection (IM/DD) per spatial path is treated. The spatial dimensions represent the multiple modes employed for transmission and the…

Information Theory · Computer Science 2022-01-28 Metodi P. Yankov , Francesco Da Ros , Søren Forchhammer , Lars Gruner-Nielsen

Massive multiple-input multiple-output (MIMO) has gained widespread popularity in recent years due to its ability to increase data rates, improve signal quality, and provide better coverage in challenging environments. In this paper, we…

Networking and Internet Architecture · Computer Science 2023-10-31 Yuhong Huang , Wenxin Li , Chengkang Pan , Shuai Hou , Xian Lu , Chunfeng Cui , Jingwei Wen , Jiaqi Xu , Chongyu Cao , Yin Ma , Hai Wei , Kai Wen

Symbolic computation, powered by modern computer algebra systems, has important applications in mathematical reasoning through exact deep computations. The efficiency of symbolic computation is largely constrained by such deep computations…

Symbolic Computation · Computer Science 2026-01-21 Rui-Juan Jing , Yuegang Zhao , Changbo Chen

Solving optimization problems is challenging for existing digital computers and even for future quantum hardware. The practical importance of diverse problems, from healthcare to financial optimization, has driven the emergence of…

A new approach for combining non-binary low-density parity-check (NB-LDPC) codes with higher-order modulation and probabilistic amplitude shaping (PAS) is presented. Instead of symbol-metric decoding (SMD), a bit-metric decoder (BMD) is…

Information Theory · Computer Science 2018-09-12 Fabian Steiner , Georg Böcherer , Gianluigi Liva

The problem of side-information scalable (SI-scalable) source coding is considered in this work, where the encoder constructs a progressive description, such that the receiver with high quality side information will be able to truncate the…

Information Theory · Computer Science 2007-08-01 Chao Tian , Suhas N. Diggavi

In Index Coding, the goal is to use a broadcast channel as efficiently as possible to communicate information from a source to multiple receivers which can possess some of the information symbols at the source as side-information. In this…

Information Theory · Computer Science 2017-11-20 Ashok Choudhary , Vamsi Krishna Gummadi , Prasad Krishnan

This paper is concerned with list decoding of $2$-interleaved binary alternant codes. The principle of the proposed algorithm is based on a combination of a list decoding algorithm for (interleaved) Reed-Solomon codes and an algorithm for…

Information Theory · Computer Science 2022-02-14 Chih-Chiang Huang , Hedongliang Liu , Lukas Holzbaur , Sven Puchinger , Antonia Wachter-Zeh

Binary embedding of high-dimensional data requires long codes to preserve the discriminative power of the input space. Traditional binary coding methods often suffer from very high computation and storage costs in such a scenario. To…

Machine Learning · Statistics 2014-05-14 Felix X. Yu , Sanjiv Kumar , Yunchao Gong , Shih-Fu Chang

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

We use density evolution to optimize the parameters of binary product codes (PCs) decoded based on the recently introduced iterative bounded distance decoding with scaled reliability. We show that binary PCs with component codes of 3-bit…

Information Theory · Computer Science 2019-08-27 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva , Alex Alvarado

Systematic polar codes are shown to outperform non-systematic polar codes in terms of the bit-error-rate (BER) performance. However theoretically the mechanism behind the better performance of systematic polar codes is not yet clear. In…

Information Theory · Computer Science 2015-04-17 Liping Li , Wenyi Zhang , Yanjun Hu
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