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A modal analysis of multichannel crosstalk cancellation systems and their relationship to amplitude panning

A modal analysis of multichannel crosstalk cancellation systems and their relationship to amplitude panning
A modal analysis of multichannel crosstalk cancellation systems and their relationship to amplitude panning
The single-listener multichannel crosstalk cancellation system is analysed using the singular value decomposition. Analytic expressions for the singular system are derived considering a sound-field of point sources placed in the far-field and in free-field conditions. The derived singular system yields theoretical insight into the benefit of multichannel loudspeaker geometries over the conventional two-channel system. From the singular system the source strength solution is derived for a target far-field virtual source. The low frequency approximation of the derived source strengths is an amplitude panning function. This panning function is a generalisation of the sine law solution that allows for head rotation and asymmetric loudspeaker geometry. When the geometry is symmetric about the median plane of the listener the low frequency sources strengths are the minimum ℓ2 norm solution of the multichannel sine law. The low frequency approximation is also shown to be representative when the free-field assumption is relaxed.
3D audio, Amplitude panning, Binaural, Crosstalk cancellation, Inverse problem, Sine law, Singular value decomposition, Sound-field control
0022-460X
Hamdan, Eric
4a342d37-7fa9-45a2-8e9a-0a1a428dba7e
Fazi, Filippo
e5aefc08-ab45-47c1-ad69-c3f12d07d807
Hamdan, Eric
4a342d37-7fa9-45a2-8e9a-0a1a428dba7e
Fazi, Filippo
e5aefc08-ab45-47c1-ad69-c3f12d07d807

Hamdan, Eric and Fazi, Filippo (2021) A modal analysis of multichannel crosstalk cancellation systems and their relationship to amplitude panning. Journal of Sound and Vibration, 490, [115743]. (doi:10.1016/j.jsv.2020.115743).

Record type: Article

Abstract

The single-listener multichannel crosstalk cancellation system is analysed using the singular value decomposition. Analytic expressions for the singular system are derived considering a sound-field of point sources placed in the far-field and in free-field conditions. The derived singular system yields theoretical insight into the benefit of multichannel loudspeaker geometries over the conventional two-channel system. From the singular system the source strength solution is derived for a target far-field virtual source. The low frequency approximation of the derived source strengths is an amplitude panning function. This panning function is a generalisation of the sine law solution that allows for head rotation and asymmetric loudspeaker geometry. When the geometry is symmetric about the median plane of the listener the low frequency sources strengths are the minimum ℓ2 norm solution of the multichannel sine law. The low frequency approximation is also shown to be representative when the free-field assumption is relaxed.

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Accepted/In Press date: 24 September 2020
e-pub ahead of print date: 24 September 2020
Published date: 6 January 2021
Keywords: 3D audio, Amplitude panning, Binaural, Crosstalk cancellation, Inverse problem, Sine law, Singular value decomposition, Sound-field control

Identifiers

Local EPrints ID: 444589
URI: http://eprints.soton.ac.uk/id/eprint/444589
ISSN: 0022-460X
PURE UUID: bd8a47dc-42f6-4117-b829-20e4de53e05e

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Date deposited: 26 Oct 2020 17:33
Last modified: 25 Nov 2021 19:06

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