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This paper studies density estimation and regression analysis with contaminated data observed on the unit hypersphere S^d. Our methodology and theory are based on harmonic analysis on general S^d. We establish novel nonparametric density…

Statistics Theory · Mathematics 2023-01-10 Jeong Min Jeon , Ingrid Van Keilegom

In numerous applications data are observed at random times and an estimated graph of the spectral density may be relevant for characterizing and explaining phenomena. By using a wavelet analysis, one derives a nonparametric estimator of the…

Statistics Theory · Mathematics 2009-11-27 Jean-Marc Bardet , Pierre Bertrand

A learning-based method for estimating the magnitude distribution of sound fields from spatially sparse measurements is proposed. Estimating the magnitude distribution of acoustic transfer function (ATF) is useful when phase measurements…

Sound · Computer Science 2025-06-23 Shoichi Koyama , Kenji Ishizuka

The method of location and spectral estimation of weak signals on a noise background is being considered. The method is based on the optimized on order and noise dispersion autoregressive model of a sought signal. A new approach of model…

Computational Engineering, Finance, and Science · Computer Science 2007-07-03 Yu. Bunyak , O. Bunyak

The angular power spectrum of a stationary random field on the sphere is estimated from the needlet coefficients of a single realization, observed with increasingly fine resolution. The estimator we consider is similar to the one recently…

Statistics Theory · Mathematics 2008-07-15 Gilles Faÿ , Frédéric Guilloux

The propagation of terahertz waves in a dust acoustic wave is investigated numerically. By assuming a sinus profile of the dust number density in the dust acoustic waves, the transmission properties are calculated using finite difference…

Plasma Physics · Physics 2020-08-26 Peng-Fei Li , Cheng-Ran Du

We study the weak convergence (in the high-frequency limit) of the parameter estimators of power spectrum coefficients associated with Gaussian, spherical and isotropic random fields. In particular, we introduce a Whittle-type approximate…

Statistics Theory · Mathematics 2014-02-05 Claudio Durastanti , Xiaohong Lan , Domenico Marinucci

We propose a practical framework to synthesize the broadband sound-field on a small rigid surface based on the physics of sound propagation. The sound-field is generated as a composite map of two components: the room component and the…

Sound · Computer Science 2024-07-16 Mohamed F. Mansour

An ambiguity-free direction-of-arrival (DOA) estimation scheme is proposed for sparse uniform linear arrays under low signal-to-noise ratios (SNRs) and non-stationary broadband signals. First, for achieving better DOA estimation performance…

Signal Processing · Electrical Eng. & Systems 2025-03-06 Wei Wang , Shefeng Yan , Linlin Mao , Zeping Sui , Jirui Yang

Acoustic environments affect acoustic characteristics of sound to be recognized by physically interacting with sound wave propagation. Thus, training acoustic models for audio and speech tasks requires regularization on various acoustic…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-08 Hyeonuk Nam , Seong-Hu Kim , Yong-Hwa Park

Context: Helioseismology aims to infer the properties of the solar interior by analyzing observations of acoustic oscillations. The interpretation of the helioseismic data is however complicated by the non-trivial relationship between…

Solar and Stellar Astrophysics · Physics 2025-10-29 D. Fournier , N. M. Kostogryz , L. Gizon , J. Schou , V. Witzke , A. I. Shapiro , I. Milic

The acoustic sensitivity of Autism Spectrum Disorder (ASD) individuals highly impacts their intelligibility in noisy urban environments. In this Letter, the disturbance sensing level is examined with perceptual listening tests that…

Audio and Speech Processing · Electrical Eng. & Systems 2025-05-16 Marcelo Pillonetto , Anderson Queiroz , Rosângela Coelho

Linear systems such as room acoustics and string oscillations may be modeled as the sum of mode responses, each characterized by a frequency, damping and amplitude. Here, we consider finding the mode parameters from impulse response…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-24 Orchisama Das , Jonathan S. Abel

Acoustic signal processing in the spherical harmonics domain (SHD) is an active research area that exploits the signals acquired by higher order microphone arrays. A very important task is that concerning the localization of active sound…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-29 Maximo Cobos , Mirco Pezzoli , Fabio Antonacci , Augusto Sarti

Here we present a comprehensive derivation of the analytical expression for the spatiotemporal acoustic pressure generated by photoacoustic sources with spherically symmetric initial pressure distributions. Starting from the fundamental…

Optics · Physics 2026-03-02 Shuang Li , Yibing Wang , Yu Zhang , Changhui Li

A method is presented for estimating and reconstructing the sound field within a room using physics-informed neural networks. By incorporating a limited set of experimental room impulse responses as training data, this approach combines…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-03 Xenofon Karakonstantis , Diego Caviedes-Nozal , Antoine Richard , Efren Fernandez-Grande

This paper focuses on assessing the limitations in the direction-finding process of radio sources with directional antennas in an urbanized environment, demonstrating how signal source antenna parameters, such as beamwidth and maximum…

Information Theory · Computer Science 2025-03-25 Cezary Ziolkowski , Jan M. Kelner

The spectral density function describes the second-order properties of a stationary stochastic process on $\mathbb{R}^d$. This paper considers the nonparametric estimation of the spectral density of a continuous-time stochastic process…

Statistics Theory · Mathematics 2023-02-07 Rafail Kartsioukas , Stilian Stoev , Tailen Hsing

This work is concerned with the estimation of the intensity parameter of a stationary determinantal point process. We consider the standard estimator, corresponding to the number of observed points per unit volume and a recently introduced…

Statistics Theory · Mathematics 2016-04-26 Jean-François Coeurjolly , Christophe Ange Napoléon Biscio

This paper addresses the problem of detecting boundary points and estimating the sampling density of a dataset derived from a compact manifold with boundary, potentially in the presence of noise. We extend recent advances in doubly…

Statistics Theory · Mathematics 2026-04-03 Dhruv Kohli , Jesse He , Chester Holtz , Alexander Cloninger , Gal Mishne