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An introduction to the mathematics of ambisonics

Fazi, Filippo Maria (2012) An introduction to the mathematics of ambisonics At 25th AES UK Conference: Spatial Audio in Today’s 3D World in association with the 4th International Symposium on Ambisonics and Spherical Acoustics, United Kingdom. 25 - 27 Mar 2012.

Record type: Conference or Workshop Item (Other)

Abstract

This lecture is intended as a tutorial on some basic and more advanced mathematical concepts and tools that are used (or may be used) when dealing with Ambisonics and sound field representation.

The talk covers some elementary concepts like the Fourier series, both in its classical version (involving sine and cosines) and the spherical harmonic expansion. The concept of spaces of functions is then introduced and the analogy with the more familiar Cartesian spaces is discussed, including the representation of a function as a linear combination of the elements of an orthogonal basis. Finally, the more advanced topic of integral representation of sound fields is presented and the integral operators known as the Herglotz wave function and the single layer potential are introduced. Their relation with Ambisonics and spherical acoustics is explained.

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More information

Published date: 25 March 2012
Venue - Dates: 25th AES UK Conference: Spatial Audio in Today’s 3D World in association with the 4th International Symposium on Ambisonics and Spherical Acoustics, United Kingdom, 2012-03-25 - 2012-03-27
Organisations: Acoustics Group

Identifiers

Local EPrints ID: 350757
URI: http://eprints.soton.ac.uk/id/eprint/350757
PURE UUID: 8de0be17-425c-41fa-be5b-d84e85451f21

Catalogue record

Date deposited: 09 Apr 2013 10:49
Last modified: 18 Jul 2017 04:31

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