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We consider codes for channels with extreme noise that emerge in various low-power applications. Simple LDPC-type codes with parity checks of weight 3 are first studied for any dimension $m\rightarrow\infty.$ These codes form modulation…

Information Theory · Computer Science 2021-01-26 Ilya Dumer , Navid Gharavi

The pair correlation function (PCF) has proven an effective tool for analyzing many physical systems due to its simplicity and its applicability to simulated and experimental data. However, as an averaged quantity, the PCF can fail to…

Disordered Systems and Neural Networks · Physics 2023-12-14 Vasco M. Worlitzer , Gil Ariel , Emanuel A. Lazar

In this paper we consider the generalization of binary spatially coupled low-density parity-check (SC-LDPC) codes to finite fields GF$(q)$, $q\geq 2$, and develop design rules for $q$-ary SC-LDPC code ensembles based on their iterative…

Information Theory · Computer Science 2014-11-18 Lai Wei , David G. M. Mitchell , Thomas E. Fuja , Daniel J. Costello

The ability to accurately detect and classify objects at varying pixel sizes in cluttered scenes is crucial to many Navy applications. However, detection performance of existing state-of the-art approaches such as convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2017-08-28 JT Turner , Kalyan Moy Gupta , David Aha

In optical communication systems, short blocklength probabilistic enumerative sphere shaping (ESS) provides both linear shaping gain and nonlinear tolerance. In this work, we investigate the performance and complexity of ESS in comparison…

Information Theory · Computer Science 2020-10-23 Abdelkerim Amari , Lutz Lampe , O. S. Sunish Kumar , Yunus Can Gultekin , Alex Alvarado

An algorithm is proposed to encode low-density parity-check (LDPC) codes into codewords with a non-uniform distribution. This enables power-efficient signalling for asymmetric channels. We show gains of 0.9 dB for additive white Gaussian…

Information Theory · Computer Science 2023-05-24 Thomas Wiegart , Linfang Wang , Diego Lentner , Richard D. Wesel

Quantum convolutional neural networks (QCNNs) offer a promising architecture for near-term quantum machine learning by combining hierarchical feature extraction with modest parameter growth. However, any QCNN operating on classical data…

Quantum Physics · Physics 2025-12-16 Xingyun Feng

Deep learning-based joint source-channel coding (JSCC) has shown excellent performance in image and feature transmission. However, the output values of the JSCC encoder are continuous, which makes the constellation of modulation complex and…

Information Theory · Computer Science 2022-07-13 Mengyang Wang , Jiahui Li , Mengyao Ma , Xiaopeng Fan

The upcoming video coding standard, Versatile Video Coding (VVC), has shown great improvement compared to its predecessor, High Efficiency Video Coding (HEVC), in terms of bitrate saving. Despite its substantial performance, compressed…

Image and Video Processing · Electrical Eng. & Systems 2021-12-09 Fatemeh Nasiri , Wassim Hamidouche , Luce Morin , Nicolas Dhollande , Gildas Cocherel

In this paper, we provide for the first time a systematic comparison of distribution matching (DM) and sphere shaping (SpSh) algorithms for short blocklength probabilistic amplitude shaping. For asymptotically large blocklengths, constant…

Signal Processing · Electrical Eng. & Systems 2020-06-01 Yunus Can Gültekin , Tobias Fehenberger , Alex Alvarado , Frans M. J. Willems

Deep learning-based super-resolution (SR) techniques have generally achieved excellent performance in the computer vision field. Recently, it has been proven that three-dimensional (3D) SR for medical volumetric data delivers better visual…

Image and Video Processing · Electrical Eng. & Systems 2021-05-19 Yinhao Li , Yutaro Iwamoto , Lanfen Lin , Rui Xu , Yen-Wei Chen

An energy-efficient approach is presented for shaping a bit-interleaved low-density parity-check (LDPC) coded amplitude phase-shift keying (APSK) system. A subset of the interleaved bits output by a binary LDPC encoder are passed through a…

Information Theory · Computer Science 2013-04-22 Matthew C. Valenti , Xingyu Xiang

We consider probabilistic shaping to maximize the achievable information rate of coded modulation (CM) with hard decision decoding. The proposed scheme using binary staircase codes outperforms its uniform CM counterpart by more than 1.3 dB…

Information Theory · Computer Science 2017-05-08 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

The Voronoi tessellation is the partition of space for a given seeds pattern and the result of the partition depends completely on the type of given pattern "random", Poisson-Voronoi tessellations (PVT), or "non-random", Non Poisson-Voronoi…

Data Analysis, Statistics and Probability · Physics 2015-11-23 M. Ferraro , L. Zaninetti

This paper presents a low-ML-decoding-complexity, full-rate, full-diversity space-time block code (STBC) for a 2 transmit antenna, 2 receive antenna multiple-input multiple-output (MIMO) system, with coding gain equal to that of the best…

Information Theory · Computer Science 2016-11-15 K. Pavan Srinath , B. Sundar Rajan

In this paper we investigate relationships between the volumes of cells of three-dimensional Voronoi tessellations and the lengths and areas of sections obtained by intersecting the tessellation with a randomly oriented plane. Here, in…

Statistical Mechanics · Physics 2011-10-12 L. Zaninetti , M. Ferraro

This paper enhances the intra prediction by using multiple neural network modes (NM). Each NM serves as an end-to-end mapping from the neighboring reference blocks to the current coding block. For the provided NMs, we present two schemes…

Image and Video Processing · Electrical Eng. & Systems 2020-05-07 Heming Sun , Zhengxue Cheng , Masaru Takeuchi , Jiro Katto

To achieve a reliable communication with short data blocks, we propose a novel decoding strategy for Kronecker-structured constant modulus signals that provides low bit error ratios (BERs) especially in the low energy per bit to noise power…

Signal Processing · Electrical Eng. & Systems 2020-06-05 Fazal-E-Asim , André L. F. de Almeida , Martin Haardt , Charles C. Cavalcante , Josef A. Nossek

It is well known that the Space-time Block Codes (STBCs) from Complex orthogonal designs (CODs) are single-symbol decodable/symbol-by-symbol decodable (SSD). The weight matrices of the square CODs are all unitary and obtainable from the…

Information Theory · Computer Science 2016-11-17 Sanjay Karmakar , K. Pavan Srinath , B. Sundar Rajan

Voronoi diagrams, and their more general weighted counterpart, power diagrams, are fundamental geometric constructs with wide-ranging applications. Recently, they have gained renewed attention in mesh-based neural rendering. Despite being…

Computational Geometry · Computer Science 2026-05-08 Bernardo Taveira , Carl Lindström , Maryam Fatemi , Lars Hammarstrand , Fredrik Kahl