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The aim of this paper is to endow the well-known family of hypercubic quantization hashing methods with theoretical guarantees. In hypercubic quantization, applying a suitable (random or learned) rotation after dimensionality reduction has…

Machine Learning · Computer Science 2018-02-13 Anne Morvan , Antoine Souloumiac , Krzysztof Choromanski , Cédric Gouy-Pailler , Jamal Atif

We present a new family of signal constellations, called log constellations, that can be used to design near-capacity coded modulation schemes over additive exponential noise (AEN) channels. Log constellations are designed by geometrically…

Information Theory · Computer Science 2011-11-29 Stéphane Y. Le Goff

Reliable communication over the discrete-input/continuous-output noncoherent multiple-input multiple-output (MIMO) Rayleigh block fading channel is considered when the signal-to-noise ratio (SNR) per degree of freedom is low. Two key…

Information Theory · Computer Science 2008-09-22 Shivratna Giri Srinivasan , Mahesh K. Varanasi

Approaching Shannon's capacity via geometric shaping has usually been regarded as challenging due to modulation and demodulation complexity, requiring look-up tables to store the constellation points and constellation bit labeling. To…

Signal Processing · Electrical Eng. & Systems 2024-01-25 Ali Mirani , Erik Agrell , Magnus Karlsson

We study the problem of constructing coded modulation schemes over multidimensional signal sets in Nakagami-$m$ block-fading channels. In particular, we consider the optimal diversity reliability exponent of the error probability when the…

Information Theory · Computer Science 2007-11-26 Albert Guillen i Fabregas , Giuseppe Caire

We consider the joint constellation design problem for the noncoherent multiple-input multiple-output multiple-access channel (MAC). By analyzing the noncoherent maximum-likelihood detection error, we propose novel design criteria so as to…

Information Theory · Computer Science 2022-07-06 Khac-Hoang Ngo , Sheng Yang , Maxime Guillaud , Alexis Decurninge

Diversity is an essential concept associated with communication reliability in multipath channels since it determines the slope of bit error rate performance in the medium to high signal-to-noise ratio regions. However, most of the existing…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Xuehan Wang , Jinhong Yuan , Jintao Wang , Kehan Huang

We provide a road towards obtaining gravitational waveforms from inspiraling material binaries with an accuracy viable for third-generation gravitational wave detectors, without necessarily advancing computational hardware or…

General Relativity and Quantum Cosmology · Physics 2021-07-07 John Ryan Westernacher-Schneider

In this paper, we investigate the optimal probabilistic constellation shaping design for covert communication systems from a practical view. Different from conventional covert communications with equiprobable constellations modulation, we…

Information Theory · Computer Science 2022-08-31 Shuai Ma , Yunqi Zhang , Haihong Sheng , Hang Li , Jia Shi , Long Yang , Youlong Wu , Naofal Al-Dhahir , Shiyin Li

An energy-efficient opportunistic collaborative beamformer with one-bit feedback is proposed for ad hoc sensor networks over Rayleigh fading channels. In contrast to conventional collaborative beamforming schemes in which each source node…

Information Theory · Computer Science 2016-11-15 Man-On Pun , D. Richard Brown , H. Vincent Poor

In this paper, we investigate the optimal precoding scheme for relay networks with finite-alphabet constraints. We show that the previous work utilizing various design criteria to maximize either the diversity order or the transmission rate…

Information Theory · Computer Science 2016-11-17 Weiliang Zeng , Chengshan Xiao , Mingxi Wang , Jianhua Lu

In this paper we use a variation of simulated annealing algorithm for optimizing two-dimensional constellations with 32 signals. The main objective is to maximize the symmetric pragmatic capacity under the peak-power constraint. The method…

Information Theory · Computer Science 2012-10-08 Farbod Kayhan , Guido Montorsi

Lie-symmetry methods are used to determine the symmetry group of reduced magnetohydrodynamics. This group allows for arbitrary, continuous transformations of the fields themselves, along with space-time transformations. The derivation…

Plasma Physics · Physics 2019-06-28 Panagiotis Koutsomitopoulos , Reese S. Lance , S. A. Yadavalli , R. D. Hazeltine

Tracking on the rotation group is a key component of many modern systems for estimation of the motion of rigid bodies. To address this problem, here we describe a Bayesian algorithm that relies on directional measurements for tracking on…

Signal Processing · Electrical Eng. & Systems 2020-03-26 Sofia Suvorova , Stephen D. Howard , Bill Moran

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

Cosmological parameter inference from galaxy clustering relies critically on accurate estimates of the covariance and precision matrices. These are often obtained from a limited number of mock catalogs, introducing noise and bias in the…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-16 Antonio Farina , Massimo Guidi , Alfonso Veropalumbo , Claudio Guida

In this paper, colocated MIMO radar waveform design is considered by minimizing the integrated side-lobe level to obtain beam patterns with lower side-lobe levels than competing methods. First, a quadratic programming problem is formulated…

Information Theory · Computer Science 2018-07-24 Haisheng Xu , Rick S. Blum , Jian Wang , Jian Yuan

With the incredible results achieved from generative pre-trained transformers (GPT) and diffusion models, generative AI (GenAI) is envisioned to yield remarkable breakthroughs in various industrial and academic domains. In this paper, we…

Information Theory · Computer Science 2023-09-19 Mehdi Letafati , Samad Ali , Matti Latva-aho

Connecting orbits are important invariant structures in the state space of nonlinear systems and various techniques are designed for their computation. However, a uniform analytic approximation of the whole orbit seems rare. Here, based on…

Mathematical Physics · Physics 2025-07-02 Pengfei Guo , Yueheng Lan , Jianyong Qiao

Multidimensional lattice constellations which present signal space diversity (SSD) have been extensively studied for single-antenna transmission over fading channels, with focus on their optimal design for achieving high diversity gain. In…

Information Theory · Computer Science 2012-07-04 Koralia N. Pappi , Nestor D. Chatzidiamantis , George K. Karagiannidis