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A method of interpolating the acoustic transfer function (ATF) between regions that takes into account both the physical properties of the ATF and the directionality of region configurations is proposed. Most spatial ATF interpolation…

Audio and Speech Processing · Electrical Eng. & Systems 2022-05-06 Juliano G. C. Ribeiro , Shoichi Koyama , Hiroshi Saruwatari

Most existing sound field reconstruction methods target point-to-region reconstruction, interpolating the Acoustic Transfer Functions (ATFs) between a fixed-position sound source and a receiver region. The applicability of these methods is…

Audio and Speech Processing · Electrical Eng. & Systems 2026-01-28 Xingyu Chen , Sipei Zhao , Fei Ma , Eva Cheng , Ian S. Burnett

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…

Estimating Head-Related Transfer Functions (HRTFs) of arbitrary source points is essential in immersive binaural audio rendering. Computing each individual's HRTFs is challenging, as traditional approaches require expensive time and…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-04 Jin Woo Lee , Sungho Lee , Kyogu Lee

We propose a method of head-related transfer function (HRTF) interpolation from sparsely measured HRTFs using an autoencoder with source position conditioning. The proposed method is drawn from an analogy between an HRTF interpolation…

Sound · Computer Science 2022-07-25 Yuki Ito , Tomohiko Nakamura , 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

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

Exterior sound field interpolation is a challenging problem that often requires specific array configurations and prior knowledge on the source conditions. We propose an interpolation method based on Gaussian processes using a point source…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-06 Juliano G. C. Ribeiro , Ryo Matsuda , Jorge Trevino

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

Sound field estimation methods based on kernel ridge regression have proven effective, allowing for strict enforcement of physical properties, in addition to the inclusion of prior knowledge such as directionality of the sound field. These…

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

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

Head-related transfer functions (HRTFs) are crucial for spatial soundfield reproduction in virtual reality applications. However, obtaining personalized, high-resolution HRTFs is a time-consuming and costly task. Recently, deep…

Audio and Speech Processing · Electrical Eng. & Systems 2023-09-18 Xingyu Chen , Fei Ma , Yile Zhang , Amy Bastine , Prasanga N. Samarasinghe

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

Head-related transfer functions (HRTFs) are essential for virtual acoustic realities, as they contain all cues for localizing sound sources in three-dimensional space. Acoustic measurements are one way to obtain high-quality HRTFs. To…

Audio and Speech Processing · Electrical Eng. & Systems 2023-10-25 Johannes M. Arend , Christoph Pörschmann , Stefan Weinzierl , Fabian Brinkmann

The quality of datasets is a critical issue in big data mining. More interesting things could be mined from datasets with higher quality. The existence of missing values in geographical data would worsen the quality of big datasets. To…

Numerical Analysis · Mathematics 2020-02-21 Kaifeng Gao , Gang Mei , Salvatore Cuomo , Francesco Piccialli , Nengxiong Xu

The fundamental purpose of the present work is to constitute an enhanced Euler method with adaptive inverse-quadratic and inverse-multi-quadratic radial basis function (RBF) interpolation technique to solve initial value problems. These…

Numerical Analysis · Mathematics 2023-02-21 Samala Rathan , Deepit Shah

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

While direct statements for kernel based interpolation on regions $\Omega \subset \mathbb{R}^d$ are well researched, far less is known about corresponding inverse statements. The available inverse statements for kernel based interpolation…

Numerical Analysis · Mathematics 2025-04-23 Tizian Wenzel

This article focuses on estimating relative transfer functions (RTFs) for beamforming applications. Traditional methods often assume that spectra are uncorrelated, an assumption that is often violated in practical scenarios due to factors…

Audio and Speech Processing · Electrical Eng. & Systems 2025-02-18 Giovanni Bologni , Richard C. Hendriks , Richard Heusdens

In this paper we propose an enhanced version of the residual sub-sampling method (RSM) in [9] for adaptive interpolation by radial basis functions (RBFs). More precisely, we introduce in the context of sub-sampling methods a maximum profile…

Numerical Analysis · Mathematics 2022-03-29 R. Cavoretto A. De Rossi
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