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Many modern engineering structures exhibit nonlinear vibration. Characterizing such vibrations efficiently is critical to optimizing designs for reliability and performance. For linear systems, steady-state vibration occurs only at the…

Dynamical Systems · Mathematics 2024-05-02 Justin H. Porter , Matthew R. W. Brake

Timbre allows us to distinguish between sounds even when they share the same pitch and loudness, playing an important role in music, instrument recognition, and speech. Traditional approaches, such as frequency analysis or machine learning,…

Sound · Computer Science 2026-02-05 Gakusei Sato , Hiroya Nakao , Riccardo Muolo

Anomalous audio in speech recordings is often caused by speaker voice distortion, external noise, or even electric interferences. These obstacles have become a serious problem in some fields, such as high-quality music mixing and speech…

Audio and Speech Processing · Electrical Eng. & Systems 2021-02-11 Qiang Huang , Thomas Hain

The concept of a common modulated oscillation spanning multiple time series is formalized, a method for the recovery of such a signal from potentially noisy observations is proposed, and the time-varying bias properties of the recovery…

Methodology · Statistics 2015-05-27 Jonathan M. Lilly , Sofia C. Olhede

Matrix-variate data of high dimensions are frequently observed in finance and economics, spanning extended time periods, such as the long-term data on international trade flows among numerous countries. To address potential structural…

Methodology · Statistics 2024-04-03 Bin Chen , Elynn Y. Chen , Stevenson Bolivar , Rong Chen

Varying coefficient models are widely used to characterize dynamic associations between longitudinal outcomes and covariates. Existing work on varying coefficient models, however, all assumes that observation times are independent of the…

Methodology · Statistics 2026-01-27 Yu Gu , Yangjianchen Xu , Peijun Sang

The adaptive non-harmonic (ANH) model is a powerful tool to compactly represent oscillating signals with time-varying amplitude and phase, and non-sinusoidal oscillating morphology. Given good estimators of instantaneous amplitude and phase…

Signal Processing · Electrical Eng. & Systems 2023-09-28 Joaquin Ruiz , Marcelo A. Colominas

Vocal fold (VF) motion is fundamental to voice production and diagnosis in speech and health sciences. The motion is a consequence of air flow interacting with elastic vocal fold structures. Motivated by existing lumped mass models and…

Pattern Formation and Solitons · Physics 2007-05-23 J. Xin , J. M. Hyman , Y-Y Qi

Stochastic averaging allows for the reduction of the dimension and complexity of stochastic dynamical systems with multiple time scales, replacing fast variables with statistically equivalent stochastic processes in order to analyze…

Probability · Mathematics 2015-02-25 William F. Thompson , Rachel A. Kuske , Adam H. Monahan

Hypernasality is a common characteristic symptom across many motor-speech disorders. For voiced sounds, hypernasality introduces an additional resonance in the lower frequencies and, for unvoiced sounds, there is reduced articulatory…

Audio and Speech Processing · Electrical Eng. & Systems 2020-09-14 Michael Saxon , Ayush Tripathi , Yishan Jiao , Julie Liss , Visar Berisha

The dichotic method of hearing sound adapts in the region of musical harmony. The algorithm of the separation of the being dissonant voices into several separate groups is proposed. For an increase in the pleasantness of chords the…

Sound · Computer Science 2024-05-09 Vadim R. Madgazin

In the current paper, we have developed an analytical apparatus, allowing to calculate the phase error, produced by miscalibration of modulation parameters. The case of harmonic modulation is considered, the analysis is performed for cases…

Instrumentation and Detectors · Physics 2019-05-01 Leonid Liokumovich , Konstantin Muravyov , Philipp Skliarov , Nikolai Ushakov

This article uses a basic model of a reed instrument , known as the lossless Raman model, to determine analytically the envelope of the sound produced by the clarinet when the mouth pressure is increased gradually to start a note from…

Classical Physics · Physics 2015-10-19 A. Almeida , Baptiste Bergeot , C Vergez , B. Gazengel

This study introduces a novel and interpretable model, DiffVox, for matching vocal effects in music production. DiffVox, short for ``Differentiable Vocal Fx", integrates parametric equalisation, dynamic range control, delay, and reverb with…

Paced finger tapping is one of the simplest tasks to study sensorimotor synchronization. The subject is instructed to tap in synchrony with a periodic sequence of brief tones, and the time difference (called asynchrony) between each…

Neurons and Cognition · Quantitative Biology 2019-12-25 Claudia R. González , M. Luz Bavassi , Rodrigo Laje

Realistic mathematical modeling of voice production has been recently boosted by applications to different fields like bioprosthetics, quality speech synthesis and pathological diagnosis. In this work, we revisit a two-mass model of the…

Neurons and Cognition · Quantitative Biology 2013-12-12 María Florencia Assaneo , Marcos A. Trevisan

A deep latent variable model is a powerful method for capturing complex distributions. These models assume that underlying structures, but unobserved, are present within the data. In this dissertation, we explore high-dimensional problems…

Machine Learning · Computer Science 2024-06-13 Khuong Vo

This paper presents a neural vocoder based on a denoising diffusion probabilistic model (DDPM) incorporating explicit periodic signals as auxiliary conditioning signals. Recently, DDPM-based neural vocoders have gained prominence as…

Audio and Speech Processing · Electrical Eng. & Systems 2024-02-23 Yukiya Hono , Kei Hashimoto , Yoshihiko Nankaku , Keiichi Tokuda

This paper provides a way to classify vocal disorders for clinical applications. This goal is achieved by means of geometric signal separation in a feature space. Typical quantities from chaos theory (like entropy, correlation dimension and…

Condensed Matter · Physics 2007-05-23 Lorenzo Matassini , Rainer Hegger , Holger Kantz , Claudia Manfredi

We investigate a simple forced harmonic oscillator with a natural frequency varying with time. It is shown that the time evolution of such a system can be written in a simplified form with Fresnel integrals, as long as the variation of the…

Classical Physics · Physics 2020-09-16 Toshihiko Hiraiwa , Kouichi Soutome , Hitoshi Tanaka