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This paper presents low-complexity block-based encoding and decoding algorithms for short block length channels. In terms of the precise use-case, we are primarily concerned with the baseline 3GPP Short block transmissions in which payloads…

Information Theory · Computer Science 2025-02-11 Mody Sy , Raymond Knopp

Tensor-based modulation (TBM) has been proposed in the context of unsourced random access for massive uplink communication. In this modulation, transmitters encode data as rank-1 tensors, with factors from a discrete vector constellation.…

Information Theory · Computer Science 2021-11-04 Alexis Decurninge , Ingmar Land , Maxime Guillaud

Hadamard transform~(HT) as over the binary field provides a natural way to implement multiple-rate codes~(referred to as {\em HT-coset codes}), where the code length $N=2^p$ is fixed but the code dimension $K$ can be varied from $1$ to…

Information Theory · Computer Science 2023-07-19 Chulong Liang , Jingnan Hu , Xiao Ma , Baoming Bai

A distribution matcher (DM) encodes a binary input data sequence into a sequence of symbols (codeword) with desired target probability distribution. The set of the output codewords constitutes a codebook (or code) of a DM.…

Information Theory · Computer Science 2019-05-06 Marcin Pikus , Wen Xu

Due to the sequential nature of the successive-cancellation (SC) algorithm, the decoding of polar codes suffers from significant decoding latencies. Fast SC decoding is able to speed up the SC decoding process, by implementing parallel…

Information Theory · Computer Science 2022-11-21 Yang Lu , Ming-Min Zhao , Ming Lei , Min-Jian Zhao

For any given short code (referred to as the basic code), block Markov superposition transmission (BMST) provides a simple way to obtain predictable extra coding gain by spatial coupling the generator matrix of the basic code. This paper…

Information Theory · Computer Science 2014-05-13 Chulong Liang , Xiao Ma , Qiutao Zhuang , Baoming Bai

In environments where visual sensors falter, in-air sonar provides a reliable alternative for autonomous systems. While previous research has successfully classified individual acoustic landmarks, this paper takes a step towards increasing…

Signal Processing · Electrical Eng. & Systems 2025-10-23 Wouter Jansen , Jan Steckel

In this work the detection of moving targets in multiantenna SAR is considered. As a high resolution radar imaging modality, SAR detects and identifies stationary targets very well, giving it an advantage over classical GMTI radars. Moving…

Applications · Statistics 2015-10-02 Kristjan Greenewald , Edmund Zelnio , Alfred O. Hero

High-order clustering aims to classify objects in multiway datasets that are prevalent in various fields such as bioinformatics, recommendation systems, and social network analysis. Such data are often sparse and high-dimensional, posing…

Statistics Theory · Mathematics 2025-12-05 Ian Välimaa , Lasse Leskelä

An encoder wishes to minimize the bit rate necessary to guarantee that a decoder is able to calculate a symbol-wise function of a sequence available only at the encoder and a sequence that can be measured only at the decoder. This classical…

Information Theory · Computer Science 2012-04-17 Behzad Ahmadi , Osvaldo Simeone

This paper presents a linear complexity iterative rake detector for the recently proposed orthogonal time frequency space (OTFS) modulation scheme. The basic idea is to extract and combine the received multipath components of the…

Signal Processing · Electrical Eng. & Systems 2020-01-30 Tharaj Thaj , Emanuele Viterbo

An efficient, accurate and reliable approximation of a matrix by one of lower rank is a fundamental task in numerical linear algebra and signal processing applications. In this paper, we introduce a new matrix decomposition approach termed…

Numerical Analysis · Computer Science 2018-08-15 Maboud F. Kaloorazi , Rodrigo C. de Lamare

Tucker decomposition is a common method for the analysis of multi-way/tensor data. Standard Tucker has been shown to be sensitive against heavy corruptions, due to its L2-norm-based formulation which places squared emphasis to peripheral…

Numerical Analysis · Computer Science 2019-04-16 Dimitris G. Chachlakis , Ashley Prater-Bennette , Panos P. Markopoulos

We focus on full-rate, fast-decodable space-time block codes (STBCs) for 2x2 and 4x2 multiple-input multiple-output (MIMO) transmission. We first derive conditions for reduced-complexity maximum-likelihood decoding, and apply them to a…

Information Theory · Computer Science 2008-03-18 Ezio Biglieri , Yi Hong , Emanuele Viterbo

Rank modulation has been recently proposed as a scheme for storing information in flash memories. While rank modulation has advantages in improving write speed and endurance, the current encoding approach is based on the "push to the top"…

Information Theory · Computer Science 2011-08-16 Eyal En Gad , Anxiao , Jiang , Jehoshua Bruck

High-dimensional Kronecker-structured estimation faces a conflict between non-convex scaling ambiguities and statistical robustness. The arbitrary factor scaling distorts gradient magnitudes, rendering standard fixed-threshold robust…

Methodology · Statistics 2025-12-23 Xiaoyu Zhang , Zhiyun Fan , Wenyang Zhang , Di Wang

Codes based on sparse matrices have good performance and can be efficiently decoded by belief-propagation (BP). Decoding binary stabilizer codes needs a quaternary BP for (additive) codes over GF(4), which has a higher check-node complexity…

Quantum Physics · Physics 2021-03-10 Kao-Yueh Kuo , Ching-Yi Lai

In this paper, we initiate the study of Extended Gabidulin codes with a Kronecker product structure and propose three enhanced variants of the Rank Quasi-Cyclic (RQC) (Melchor et.al., IEEE IT, 2018) cryptosystem. First, we establish precise…

Information Theory · Computer Science 2026-01-21 Zhe Sun , Terry Shue Chien Lau , Mengying Zhao , Zimeng Zhou , Fang-Wei Fu

Recursive list decoding of Reed-Muller (RM) codes, with moderate list size, is known to approach maximum-likelihood (ML) performance of short length $(\leq 256)$ RM codes. Recursive decoding employs the Plotkin construction to split the…

Information Theory · Computer Science 2022-07-20 Mikhail Kamenev

Constrained codes are used to eliminate error-prone patterns in various practical systems. Recently, we introduced efficient binary symmetric lexicographically-ordered constrained (LOCO) codes and asymmetric LOCO (A-LOCO) codes to increase…

Information Theory · Computer Science 2020-10-20 Jessica Centers , Xinyu Tan , Ahmed Hareedy , Robert Calderbank
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