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We introduce a new numerical method to compute resonances induced by localized defects in crystals. This method solves an integral equation in the defect region to compute analytic continuations of resolvents. Such an approach enables one…

Numerical Analysis · Mathematics 2023-02-08 Ivan Duchemin , Luigi Genovese , Eloïse Letournel , Antoine Levitt , Simon Ruget

We consider a damped oscillator mode that is resonantly driven and is coupled to an arbitrary target system via the position quadrature operator. For such a composite open quantum system, we develop a numerical method to compute the reduced…

Quantum Physics · Physics 2024-07-02 Masaaki Tokieda

Continuous phase modulation (CPM) has extensive applications in wireless communications due to its high spectral and power efficiency. However, its nonlinear characteristics pose significant challenges for detection in frequency selective…

Information Theory · Computer Science 2024-08-15 Zilong Liu , Yi Song , Qinghua Guo , Peng Sun , Kexian Gong , Zhongyong Wang

We have employed the first-principles approach to compute the effective response of composites of graded spherical particles of arbitrary conductivity profiles. We solve the boundary-value problem for the polarizability of the graded…

Materials Science · Physics 2007-05-23 K. W. Yu , G. Q. Gu

We introduce an $O(M)$ algorithm for evaluating the azimuthal Fourier modes $G_{k,m}$, $m = 0, 1, ..., M$, of the three-dimensional Helmholtz Green's function with real wavenumber $k$, together with all their first- and second-order…

Numerical Analysis · Mathematics 2026-05-12 Hanwen Zhang

Compared to real-valued signals, complex-valued signals provide a unique and intuitive representation of the phase of real physical systems and processes, which holds fundamental significance and is widely applied across many fields of…

Signal Processing · Electrical Eng. & Systems 2025-11-04 Wang Hao , Kuang Zhang , Hou Chengyu , Tan Chenxing , Cui Weiming , Fu Weifeng , Yao Xinran

A modulation classification (MC) scheme based on Independent Component Analysis (ICA) in conjunction with either maximum likelihood (ML) or Support Vector Machines (SVM) is proposed for MIMO-OFDM signals over frequency selective, time…

Information Theory · Computer Science 2013-07-18 Yu Liu , Alexander M. Haimovich , Wei Su , Jason Dabin , Emmanuel Kanterakis

We study QCD in 1+1 dimensions in the large $N_c$ limit using light-front Hamiltonian perturbation theory in the $1/N_c$ expansion. We use this formalism to exactly compute hadronic transition matrix elements for arbitrary currents at…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jorge Mondejar , Antonio Pineda , Joan Rojo

The proposed method introduces a parameter determination approach based on the minimum Fractal box dimension (FBD) of Variational Mode Decomposition (VMD) components, aiming to address the issue of manual determination of VMD decomposition…

Signal Processing · Electrical Eng. & Systems 2024-05-17 Pei Yuhang , Yu Min , Yu Yan

We demonstrate how the mixed dynamic form factor (MDFF) can be interpreted as a quadratic form. This makes it possible to use matrix diagonalization methods to reduce the number of terms that need to be taken into account when calculating…

Materials Science · Physics 2017-02-16 Stefan Löffler , Viktoria Motsch , Peter Schattschneider

In order to determine the ratio of CKM matrix elements |V_{ub}/V_{cb}| (and |V_{ub}|), we propose a new model-independent method based on the heavy quark effective theory, which is theoretically described by the phase space factor and the…

High Energy Physics - Phenomenology · Physics 2014-11-17 C. S. Kim

The knowledge and thus characterization of the temporal modes of quantum light fields is important in many areas of quantum physics ranging from experimental setup diagnosis to fundamental-physics investigations. Recent results showed how…

Quantum Physics · Physics 2020-01-08 O. Morin , S. Langenfeld , M. Körber , G. Rempe

Wide-area synchrophasor ambient measurements provide a valuable data source for real-time oscillation mode monitoring and analysis. This paper introduces a novel method for identifying inter-area oscillation modes using wide-area ambient…

Signal Processing · Electrical Eng. & Systems 2021-03-03 Shutang You

Accurate predictions of inclusive scattering cross sections in the linear response regime require efficient and controllable methods to calculate the spectral density in a strongly-correlated many-body system. In this work we reformulate…

Quantum Physics · Physics 2023-03-29 Jeremy Hartse , Alessandro Roggero

This paper develops a fully discrete modified characteristic finite element method for a coupled system consisting of the fully nonlinear Monge-Amp\'ere equation and a transport equation. The system is the Eulerian formulation in the dual…

Numerical Analysis · Mathematics 2008-10-09 Xiaobing Feng , Michael Neilan

Reduced-order models have long been used to understand the behavior of nonlinear partial differential equations (PDEs). Naturally, reduced-order modeling techniques come at the price of computational accuracy for a decrease in computation…

Numerical Analysis · Mathematics 2023-07-26 Jovan Žigić

This paper describes a new approach for using changepoint detection (CPD) to estimate the starting and stopping times of a forced oscillation (FO) in measured power system data. As with a previous application of CPD to this problem, the…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Luke Dosiek , Akaash Karn , Frank Liu

Real-time characterization of refractivity within the marine atmospheric boundary layer can provide valuable information that can potentially be used to mitigate the effects of atmospheric ducting on radar performance. Many duct…

Atmospheric and Oceanic Physics · Physics 2021-10-04 Hilarie Sit , Christopher J. Earls

The work provides an integrated pipeline for the model order reduction of turbulent flows around parametrised geometries in aerodynamics. In particular, Free-Form Deformation is applied for geometry parametrisation, whereas two different…

Numerical Analysis · Mathematics 2018-03-15 F. Salmoiraghi , A. Scardigli , H. Telib , G. Rozza

In this paper, phase correction and amplitude compensation are introduced to a previously developed mixed domain method (MDM), which is only accurate for modeling wave propagation in weakly heterogeneous media. Multiple reflections are also…

Medical Physics · Physics 2020-07-15 Juanjuan Gu , Yun Jing