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The vibrations of the soundboard of an upright piano in playing condition are investigated. It is first shown that the linear part of the response is at least 50 dB above its nonlinear component at normal levels of vibration. Given this…

Classical Physics · Physics 2012-12-14 Kerem Ege , Xavier Boutillon

The dynamic behavior of jointed assemblies exhibiting friction nonlinearities features amplitude-dependent dissipation and stiffness. To develop numerical simulations for predictive and design purposes, macro-scale High Fidelity Models…

Computational Engineering, Finance, and Science · Computer Science 2022-04-27 Ahmed Amr Morsy , Mariella Kast , Paolo Tiso

This work presents a technique to estimate on-line the inertia of a power system based on ambient measurements. The proposed technique utilizes the covariance matrix of these measurements and solves an optimization problem that fits such…

Systems and Control · Electrical Eng. & Systems 2023-01-18 Federico Bizzarri , Davide del Giudice , Samuele Grillo , Daniele Linaro , Angelo Brambilla , Federico Milano

The possibility of shifting sound energy from lower to higher frequency bands is investigated. The system configuration considered is a segmented structure having non-linear stiffness characteristics. It is proposed here that such a…

Classical Physics · Physics 2021-02-10 Srinivas Varanasi , Thomas Siegmund , J. Stuart Bolton

This paper presents a novel learning-based approach for online state estimation in flapping wing aerial vehicles (FWAVs). Leveraging low-cost Magnetic, Angular Rate, and Gravity (MARG) sensors, the proposed method effectively mitigates the…

Systems and Control · Electrical Eng. & Systems 2025-04-30 Chen Qian , Jiaxi Xing , Jifu Yan , Mingyu Luo , Shiyu Song , Xuyi Lian , Yongchun Fang , Fei Gao , Tiefeng Li

Existing algorithms for fitting the parameters of a sinusoid to noisy discrete time observations are not always successful due to initial value sensitivity and other issues. This paper demonstrates the techniques of FIR filtering, Fast…

General Mathematics · Mathematics 2012-08-27 Francis J. O'Brien, , Nathan Johnnie

This article proposes a dynamical system modeling approach for the analysis of longitudinal data of self-regulated systems experiencing multiple excitations. The aim of such an approach is to focus on the evolution of a signal (e.g., heart…

Given a musical audio recording, the goal of automatic music transcription is to determine a score-like representation of the piece underlying the recording. Despite significant interest within the research community, several studies have…

Sound · Computer Science 2016-09-05 Sebastian Ewert , Mark Sandler

Usual modal analysis techniques are based on the Fourier transform. Due to the Delta T . Delta f limitation, they perform poorly when the modal overlap mu exceeds 30%. A technique based on a high-resolution analysis algorithm and an…

Data Analysis, Statistics and Probability · Physics 2013-11-04 Kerem Ege , Xavier Boutillon , Bertrand David

We introduce the dynamics mode decomposition for monitoring wide-area power grid networks from sparse measurement data. The mathematical framework fuses data from multiple sensors based on multivariate statistics, providing accurate full…

Pattern Formation and Solitons · Physics 2019-06-11 J. Jorge Ramos , J. Nathan Kutz

Accurate estimates of Instrument Spectral Response Functions (ISRFs) are crucial in order to have a good characterization of high resolution spectrometers. Spectrometers are composed of different optical elements that can induce errors in…

Numerical Analysis · Mathematics 2024-04-09 Jihanne El Haouari , Jean-Michel Gaucel , Christelle Pittet , Jean-Yves Tourneret , Herwig Wendt

This paper presents a new parameter estimation method for It\^{o} diffusions such that the resulting model predicts the equilibrium statistics as well as the sensitivities of the underlying system to external disturbances. Our formulation…

Numerical Analysis · Mathematics 2017-05-24 John Harlim , Xiantao Li , He Zhang

We consider the nonlinear Duffing oscillator in presence of fractional damping which is characteristic in different physical situations. The system is studied with a smaller and larger damping parameter value, that we call the underdamped…

Chaotic Dynamics · Physics 2024-03-18 Mattia Coccolo , Jesús M. Seoane , Stefano Lenci , Miguel A. F. Sanjuán

Spatial analysis of room acoustics is an ongoing research topic. Microphone arrays have been employed for spatial analyses with an important objective being the estimation of the direction-of-arrival (DOA) of direct sound and early room…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-09 Hai Morgenstern , Boaz Rafaely

We propose a simple method to estimate the parameters of a continuously measured quantum system, by fitting correlation functions of the measured signal. We demonstrate the approach in simulation, both on toy examples and on a recent…

Quantum Physics · Physics 2024-10-17 Pierre Guilmin , Pierre Rouchon , Antoine Tilloy

A recent trend in control of power systems has sought to quantify the synchronization dynamics in terms of a global performance metric, compute it under very simplified assumptions, and use it to gain insight on the role of system…

Optimization and Control · Mathematics 2019-05-15 Fernando Paganini , Enrique Mallada

In glasses and other disordered materials, measurements of the vibrational density of states reveal that an excess number of long-wavelength (low-frequency) modes, as compared to the Debye scaling seen in crystalline materials, is…

Soft Condensed Matter · Physics 2012-09-17 Eli T. Owens , Karen E. Daniels

The present study proposes a Gram-matrix-based sensor placement strategy for sparse force reconstruction in the frequency domain. A modal decomposition of the Gram matrix reveals that its structure is dominated by a few modes near the…

Signal Processing · Electrical Eng. & Systems 2025-09-05 Jeunghoon Lee

This paper develops a harmonic-domain framework for systems with variable fundamental frequency. A variable-frequency sliding Fourier decomposition is introduced in the phase domain, together with necessary and sufficient conditions for…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Maxime Grosso , Pierre Riedinger , Jamal Daafouz , Serge Pierfederici , Hicham Janati Idrissi , Blaise Lapôtre

This work introduces a robust single-channel inverse filter for dereverberation of non-ideal recordings, validated on real audio. The developed method focuses on the calculation and modification of a discrete impulse response in order to…

Audio and Speech Processing · Electrical Eng. & Systems 2026-01-13 Stefan Ciba