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Spherical harmonic representation of the observed directional wave front in the time domain
Jiarui Wang1, Thushara Abhayapala1, Prasanga Samarasinghe1
1The Australian National University, 115 North Road, Acton, Australian Capital Territory 2601, Australia u5879960@anu.edu.au, thushara.abhayapala@anu.edu.au, prasanga.samarasinghe@anu.edu.au, jihui.zhang@anu.edu.au.
Abstract:
Sound field reproduction algorithms require loudspeaker directivity, which is usually measured at discrete frequencies. A time domain model of loudspeaker directivity benefits broadband applications. This Letter proposes the concept of a directional wave front in the time domain, which could be linked to loudspeaker impulse responses measured on a spherical surface. The observed signal in the time domain at the boundary of a spherical region due to a propagating directional wave front is illustrated using a geometric model. Based on the geometric model, the spherical harmonic decomposition of the observed signal in the time domain is also derived.
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