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A method to estimate an acoustic field from discrete microphone measurements is proposed. A kernel-interpolation-based method using the kernel function formulated for sound field interpolation has been used in various applications. The…

In this work, we introduce a spatio-temporal kernel for Gaussian process (GP) regression-based sound field estimation. Notably, GPs have the attractive property that the sound field is a linear function of the measurements, allowing the…

Audio and Speech Processing · Electrical Eng. & Systems 2024-07-08 David Sundström , Shoichi Koyama , Andreas Jakobsson

A method for estimating the incident sound field inside a region containing scattering objects is proposed. The sound field estimation method has various applications, such as spatial audio capturing and spatial active noise control;…

Sound · Computer Science 2023-09-12 Shoichi Koyama , Masaki Nakada , Juliano G. C. Ribeiro , Hiroshi Saruwatari

A sound field reproduction method called weighted pressure matching is proposed. Sound field reproduction is aimed at synthesizing the desired sound field using multiple loudspeakers inside a target region. Optimization-based methods are…

Audio and Speech Processing · Electrical Eng. & Systems 2022-10-27 Shoichi Koyama , Kazuyuki Arikawa

The area of study concerning the estimation of spatial sound, i.e., the distribution of a physical quantity of sound such as acoustic pressure, is called sound field estimation, which is the basis for various applied technologies related to…

A spatial active noise control (ANC) method based on kernel interpolation of a sound field with exterior radiation suppression is proposed. The aim of spatial ANC is to reduce incoming noise over a target region by using multiple secondary…

Audio and Speech Processing · Electrical Eng. & Systems 2023-04-03 Kazuyuki Arikawa , Shoichi Koyama , Hiroshi Saruwatari

Accurately representing the sound field with the high spatial resolution is critical for immersive and interactive sound field reproduction technology. To minimize experimental effort, data-driven methods have been proposed to estimate…

Audio and Speech Processing · Electrical Eng. & Systems 2023-11-10 Zining Liang , Wen Zhang , Thushara D. Abhayapala

A spatial active noise control (ANC) method based on the interpolation of a sound field from reference microphone signals is proposed. In most current spatial ANC methods, a sufficient number of error microphones are required to reduce…

Audio and Speech Processing · Electrical Eng. & Systems 2023-03-29 Kazuyuki Arikawa , Shoichi Koyama , Hiroshi Saruwatari

Spherical radial-basis-based kernel interpolation abounds in image sciences including geophysical image reconstruction, climate trends description and image rendering due to its excellent spatial localization property and perfect…

Machine Learning · Computer Science 2024-01-17 Xiaotong Liu , Jinxin Wang , Di Wang , Shao-Bo Lin

We propose a sound field estimation method based on kernel ridge regression using a rigid spherical microphone array. Kernel ridge regression with physically constrained kernel functions, and further with kernel functions adapted to…

Audio and Speech Processing · Electrical Eng. & Systems 2025-08-06 Ryo Matsuda , Juliano G. C. Ribeiro , Hitoshi Akiyama , Jorge Trevino

A spatial active noise control (ANC) method based on the individual kernel interpolation of primary and secondary sound fields is proposed. Spatial ANC is aimed at cancelling unwanted primary noise within a continuous region by using…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-11 Kazuyuki Arikawa , Shoichi Koyama , Hiroshi Saruwatari

A sound field estimation method based on a physics-informed convolutional neural network (PICNN) using spline interpolation is proposed. Most of the sound field estimation methods are based on wavefunction expansion, making the estimated…

Sound · Computer Science 2022-07-25 Kazuhide Shigemi , Shoichi Koyama , Tomohiko Nakamura , Hiroshi Saruwatari

Acousto-optic sensing provides an alternative approach to traditional microphone arrays by shedding light on the interaction of light with an acoustic field. Sound field reconstruction is a fascinating and advanced technique used in…

Sound · Computer Science 2025-07-01 Phuc Duc Nguyen , Kenji Ishikawa , Noboru Harada , Takehiro Moriya

Sound field reproduction methods based on numerical optimization, which aim to minimize the error between synthesized and desired sound fields, are useful in many practical scenarios because of their flexibility in the array geometry of…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-23 Shoichi Koyama , Keisuke Kimura , Natsuki Ueno

An interpolation method for region-to-region acoustic transfer functions (ATFs) based on kernel ridge regression with an adaptive kernel is proposed. Most current ATF interpolation methods do not incorporate the acoustic properties for…

Audio and Speech Processing · Electrical Eng. & Systems 2023-03-08 Juliano G. C. Ribeiro , Shoichi Koyama , Hiroshi Saruwatari

This work is concerned with the kernel-based approximation of a complex-valued function from data, where the frequency response function of a partial differential equation in the frequency domain is of particular interest. In this setting,…

Computational Engineering, Finance, and Science · Computer Science 2024-11-26 Julien Bect , Niklas Georg , Ulrich Römer , Sebastian Schöps

Gaussian process regression is a classical kernel method for function estimation and data interpolation. In large data applications, computational costs can be reduced using low-rank or sparse approximations of the kernel. This paper…

Numerical Analysis · Mathematics 2024-10-04 Daniel Sanz-Alonso , Ruiyi Yang

Sound field estimation with moving microphones can increase flexibility, decrease measurement time, and reduce equipment constraints compared to using stationary microphones. In this paper a sound field estimation method based on kernel…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-23 Jesper Brunnström , Martin Bo Møller , Jan Østergaard , Shoichi Koyama , Toon van Waterschoot , Marc Moonen

Spatial sound field interpolation relies on suitable models to both conform to available measurements and predict the sound field in the domain of interest. A suitable model can be difficult to determine when the spatial domain of interest…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-30 Manuel Hahmann , Efren Fernandez-Grande

In sound field control applications, it is commonly assumed that one has access to an accurate representation of the sound field in the region of interest. This is a problematic assumption since the reconstruction of a sound field from…

Audio and Speech Processing · Electrical Eng. & Systems 2026-05-21 David Sundström , Filip Tronarp , Johan Lindström , Andreas Jakobsson
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