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In wireless communication systems, there are many stages for signal transmission. Among them, mapping and demapping convert a sequence of bits into a sequence of complex numbers and vice versa. This operation is performed by a system of…

Information Theory · Computer Science 2023-03-07 Daniil Yudakov , Dmitrii Kolosov , Evgeny Bobrov

A simple geometric shaping method is proposed for optical wireless communication systems based on intensity modulation and direct detection (IM/DD) from an information-theoretic perspective. Constellations consisting of equiprobable levels…

Information Theory · Computer Science 2024-12-03 Suhua Zhou , Tianqi Li , Zhaoxi Fang , Jing Zhou , Wenyi Zhang

Axisymmetric pulsations of rotating neutron stars can be excited in several scenarios, such as core-collapse, crust and core-quakes and binary mergers and could become detectable either in gravitational waves or high-energy radiation. Here,…

Astrophysics · Physics 2009-10-31 Jose A. Font , Harald Dimmelmeier , Anshu Gupta , Nikolaos Stergioulas

By integrating feedback with Radio Frequency (RF) mirrors, we develop a closed-loop media-based modulation system for efficient utilization of the signal space. Specifically, this closed-loop construction optimizes the inherited signal…

Information Theory · Computer Science 2024-12-25 Majid Nasiri Khormuji

Low earth orbit satellite constellations with intersatellite links (ISLs) are currently being developed and deployed. The availability of ISLs provides the capability to route across the satellite constellation, rather than using the…

Systems and Control · Electrical Eng. & Systems 2025-04-04 Peter Ashwood-Smith , Bill McCormick

We perform geometric constellation shaping with optimized bit labeling using a binary autoencoder including a differential blind phase search (BPS). Our approach enables full end-to-end training of optical coherent transceivers taking into…

Signal Processing · Electrical Eng. & Systems 2022-06-27 Andrej Rode , Benedikt Geiger , Laurent Schmalen

We propose a general framework to extend Flow Matching to homogeneous spaces, i.e. quotients of Lie groups. Our approach reformulates the problem as a flow matching task on the underlying Lie group by lifting the data distributions. This…

Machine Learning · Computer Science 2026-03-27 Francesco Ruscelli

In this paper, we propose a practical structured constellation for non-coherent communication with a single transmit antenna over Rayleigh flat and block fading channel without instantaneous channel state information. The constellation…

Information Theory · Computer Science 2020-06-05 Khac-Hoang Ngo , Alexis Decurninge , Maxime Guillaud , Sheng Yang

In this work we provide a framework that connects the co-rotating and counter rotating $f$-mode frequencies of rotating neutron stars with their stellar structure. The accurate computation of these modes for realistic equations of state has…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Sebastian H. Völkel , Christian J. Krüger , Kostas D. Kokkotas

Pose-Graph optimization is a crucial component of many modern SLAM systems. Most prominent state of the art systems address this problem by iterative non-linear least squares. Both number of iterations and convergence basin of these…

Robotics · Computer Science 2018-09-05 Irvin Aloise , Giorgio Grisetti

The problem of maximizing secrecy rate of multiple-input multiple-output multiple-eavesdropper (MIMOME) channels with arbitrary numbers of antennas at each node is studied in this paper. First, the optimization problem corresponding to the…

Information Theory · Computer Science 2020-11-03 Xinliang Zhang , Yue Qi , Mojtaba Vaezi

This paper presents a geometrically explicit formulation for Cosserat rods that unifies configuration-space and strain-based representations within a single modeling framework. The proposed method uses nodal configurations on the Lie group…

Numerical Analysis · Mathematics 2026-03-12 Lingxiao Xun , Brahim Tamadazte

In this work, we propose a novel method for robust single rotation averaging that can efficiently handle an extremely large fraction of outliers. Our approach is to minimize the total truncated least unsquared deviations (TLUD) cost of…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Seong Hun Lee , Javier Civera

Mixed noise, composed of white Gaussian noise (WGN) and impulsive noise (IN), appears in numerous communication scenarios and can severely degrade system performance. In this paper, we optimize the transmitted constellation under mixed…

Signal Processing · Electrical Eng. & Systems 2025-09-09 Tianfu Qi , Jun Wang

74J30The maximal group of Lie point symmetries of a system of nonlinear equations used in geophysical fluid dynamics is presented. The Lie algebra of this group is infinite-dimensional and involves three arbitrary functions of time. The…

Mathematical Physics · Physics 2011-08-10 Nail H. Ibragimov , Ranis N. Ibragimov , Vladimir F. Kovalev

We study the error probability performance of rotated lattice constellations in frequency-flat Nakagami-$m$ block-fading channels. In particular, we use the sphere lower bound on the underlying infinite lattice as a performance benchmark.…

Information Theory · Computer Science 2007-07-13 Albert Guillen i Fabregas , Emanuele Viterbo

The effect of rotation upon the classical two-layer Rayleigh-Taylor instability is considered theoretically and compared with previous experimental results. In particular we consider a two-layer system with an axis of rotation that is…

Fluid Dynamics · Physics 2016-03-03 Matthew M. Scase , Kyle A. Baldwin , Richard J. A. Hill

An algorithm for detecting unstable periodic orbits in chaotic systems [Phys. Rev. E, 60 (1999), pp. 6172-6175] which combines the set of stabilising transformations proposed by Schmelcher and Diakonos [Phys. Rev. Lett., 78 (1997), pp.…

Chaotic Dynamics · Physics 2007-06-14 Jonathan J. Crofts

We establish a set-oriented algorithm for the numerical approximation of the rotation set of homeomorphisms of the two-torus homotopic to the identity. A theoretical background is given by the concept of {\epsilon}-rotation sets. These are…

Dynamical Systems · Mathematics 2019-04-24 Katja Polotzek , Kathrin Padberg-Gehle , Tobias Jäger

Motivated by a recent surge of interest in convex optimization techniques, convexity/concavity properties of error rates of the maximum likelihood detector operating in the AWGN channel are studied and extended to frequency-flat slow-fading…

Information Theory · Computer Science 2016-11-17 Sergey Loyka , Victoria Kostina , Francois Gagnon