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The equatorial microphone array presented in (Ahrens et al., 2021) computes a spherical harmonic (SH) representation of a sound field based on pressure sensors along the equator of a rigid spherical baffle. The original formulation uses…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-02 Jens Ahrens

The importance of the information in the direct sound to human perception of spatial sound sources is an ongoing research topic. The classification between direct sound and diffuse or reverberant sound forms the basis of numerous studies in…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-03 Eran Miller , Boaz Rafaely

Ambisonics is an established framework to capture, process, and reproduce spatial sound fields based on its spherical harmonics representation. We propose a generalization of conventional spherical ambisonics to the spheroidal coordinate…

Sound · Computer Science 2023-01-06 Shoken Kaneko

Linear operations on coefficients in the spherical harmonics (SH) transform domain that again yield SH-domain coefficients are an important toolset in many disciplines of research and engineering. They comprise rotations, spatially…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-30 Maximilian Kentgens , Peter Jax

Acoustical signal processing of directional representations of sound fields, including source, receiver, and scatterer transfer functions, are often expressed and modeled in the spherical harmonic domain (SHD). Certain such modeling…

Audio and Speech Processing · Electrical Eng. & Systems 2024-07-10 Archontis Politis

Ambisonics, a popular format of spatial audio, is the spherical harmonic (SH) representation of the plane wave density function of a sound field. Many algorithms operate in the SH domain and utilize the Ambisonics as their input signal. The…

Audio and Speech Processing · Electrical Eng. & Systems 2024-03-01 Bar Shaybet , Anurag Kumar , Vladimir Tourbabin , Boaz Rafaely

In the rapidly evolving fields of virtual and augmented reality, accurate spatial audio capture and reproduction are essential. For these applications, Ambisonics has emerged as a standard format. However, existing methods for encoding…

Audio and Speech Processing · Electrical Eng. & Systems 2024-11-27 Yhonatan Gayer , Vladimir Tourbabin , Zamir Ben-Hur , Jacob Donley , Boaz Rafaely

A method of binaural rendering from microphone array signals of arbitrary geometry is proposed. To reproduce binaural signals from microphone array recordings at a remote location, a spherical microphone array is generally used for…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-19 Naoto Iijima , Shoichi Koyama , Hiroshi Saruwatari

Spatial audio formats like Ambisonics are playback device layout-agnostic and well-suited for applications such as teleconferencing and virtual reality. Conventional Ambisonic encoding methods often rely on spherical microphone arrays for…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-17 Yue Qiao , Vinay Kothapally , Meng Yu , Dong Yu

Ambisonics is a method for capturing and rendering a sound field accurately, assuming that the acoustics of the playback room does not significantly influence the sound field. However, in practice, the acoustics of the playback room may…

Audio and Speech Processing · Electrical Eng. & Systems 2025-10-14 Ali Fallah , Shun Nakamura , Steven van de Par

This paper proposes a novel beamforming framework in the reproducing kernel domain, derived from a unified interpretation of directional response as spatial differentiation of the sound field. By representing directional response using…

Audio and Speech Processing · Electrical Eng. & Systems 2025-11-03 Takahiro Iwami , Naohisa Inoue , Akira Omoto

Ambisonics is a complete theory for spatial audio whose building blocks are the spherical harmonics. Some of the drawbacks of low order Ambisonics, like poor source directivity and small sweet-spot, are directly related to the properties of…

Sound · Computer Science 2020-03-09 Davide Scaini

The spatial information of sound plays a crucial role in various situations, ranging from daily activities to advanced engineering technologies. To fully utilize its potential, numerous research studies on spatial audio signal processing…

Audio and Speech Processing · Electrical Eng. & Systems 2025-03-14 Natsuki Ueno , Shoichi Koyama

The capture and reproduction of spatial audio is becoming increasingly popular, with the mushrooming of applications in teleconferencing, entertainment and virtual reality. Many binaural reproduction methods have been developed and studied…

Audio and Speech Processing · Electrical Eng. & Systems 2023-11-27 Ami Berger , Vladimir Tourbabin , Jacob Donley , Zamir Ben-Hur , Boaz Rafaely

Series representations consisting of spherical harmonics are obtained for characteristic exponents and probability density functions of multivariate stable distributions under various conditions. A esult potentially applicable in a…

Probability · Mathematics 2021-10-18 Zhiyi Chi

Numerical experiments with smooth surface extension and image inpainting using harmonic and biharmonic functions are carried out. The boundary data used for constructing biharmonic functions are the values of the Laplacian and normal…

Analysis of PDEs · Mathematics 2018-09-25 S. B. Damelin , N. S. Hoang

Learning from data in the quaternion domain enables us to exploit internal dependencies of 4D signals and treating them as a single entity. One of the models that perfectly suits with quaternion-valued data processing is represented by 3D…

Audio and Speech Processing · Electrical Eng. & Systems 2022-12-16 Danilo Comminiello , Marco Lella , Simone Scardapane , Aurelio Uncini

Spherical Harmonics ROOM), an open-source Python library for room acoustics simulation using Ambisonics, available at https://github.com/Yhonatangayer/shroom and installable via \texttt{pip install pyshroom}. \textbf{shroom} projects…

Audio and Speech Processing · Electrical Eng. & Systems 2026-03-31 Yhonatan Gayer

Neural upmixing, the task of generating immersive music with an increased number of channels from fewer input channels, has been an active research area, with mono-to-stereo and stereo-to-surround upmixing treated as separate problems. In…

Sound · Computer Science 2024-05-24 Yongyi Zang , Yifan Wang , Minglun Lee

Bandwidth extension, the task of reconstructing the high-frequency components of an audio signal from its low-pass counterpart, is a long-standing problem in audio processing. While traditional approaches have evolved alongside the broader…

Sound · Computer Science 2025-11-27 Benoît Giniès , Xiaoyu Bie , Olivier Fercoq , Gaël Richard
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