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audio - Using spherical harmonics to build complex sound ...
https://gamedev.stackexchange.com/questions/79/using-spherical-harmonics-to-build-complex-sound-scapes
At this point I began thinking about spherical harmonics to simulate this behaviour. You could simultaneously do specular-esque reflections as well as audio scattering modelled as diffuse reflections. As a bonus you'd also get obstructions blocking sound transfer. The only problem was how to handle the attenuation of multiple frequencies.
9 Introduction to Spherical Harmonics
http://symphony.arch.rpi.edu/~xiangn/Teach/AAAessentialMethodsSH.pdf
9.1 Spherical Harmonics 129 Nm n = s 2n+ 1 4π (n−m)! (n+ m)!, (9.8) represents a normalization factor, enforcing the spherical harmonics to be or-thonormal and complete, as will be discussed later [in context of orthonormal-
AES E-Library - Audio Engineering Society
https://www.aes.org/e-lib/browse.cfm?elib=13396
Spherical harmonics are well suited to describing sound reproduction over a localized volume of space and have application to other forms of localized sound reproduction such as virtual acoustics [54]. Three methods of recording 3D …
Improving Binaural Ambisonics Decoding by Spherical ...
https://www.microsoft.com/en-us/research/publication/improving-binaural-ambisonics-decoding-by-spherical-harmonics-domain-tapering-and-coloration-compensation/
A powerful and flexible approach to record or encode a spatial sound scene is through spherical harmonics (SHs), or Ambisonics. An SH-encoded scene can be rendered binaurally by applying SH-encoded head-related transfer functions (HRTFs).
Spheroidal ambisonics: Spatial audio in spheroidal bases ...
https://asa.scitation.org/doi/full/10.1121/10.0005942
Ambisonics is an established framework to capture and reproduce spatial sound fields based on the spherical harmonics representation [Gerzon (1973). J. Audio Eng. Soc. 21 (1), 2–10]. A generalization— spheroidal ambisonics —based on spheroidal wave functions is proposed for use with spheroidal microphone arrays.
What is ambisonics B-format and spherical harmonics? - …
https://www.youtube.com/watch?v=_YYmCYKQw1o
Learn about the theory of ambisonics. ***Press 'C' for subtitles. Para Español, active subtítulos y vaya a los ajustes.***Ambisonics is a full-sphere surroun...
Spherical Harmonics | Brilliant Math & Science Wiki
https://brilliant.org/wiki/spherical-harmonics/
The general solutions for each linearly independent Y (θ, ϕ) Y(\theta, \phi) Y (θ, ϕ) are the spherical harmonics, with a normalization constant multiplying the solution as described so far to make independent spherical harmonics orthonormal: Y ℓ m (θ, ϕ) = 2 ℓ + 1 4 π (ℓ − m)! (ℓ + m)! P ℓ m (cos θ) e i m ϕ.
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