The sampling and interpolation of the sound field along a circle is studied, and an angular sampling theorem is presented. Application of these results can be found in the problem of interpolating coarsely sampled head-related transfer functions (HRTFs). The proposed method interpolates HRTFs in a sub-band domain. For the low temporal frequencies satisfying the sampling theorem, HRTFs can be interpolated very precisely. At higher frequencies, the angular interpolation is carried out in a complex temporal envelope domain to limit aliasing. Numerical simulations indicate that the proposed method performs better in a mean square error sense than conventional interpolation methods.

Authors: Ajdler, Thibaut; Faller, Christof; Sbaiz, Luciano; Vetterli, Martin
Affiliation: Audiovisual Communications Laboratory, EPFL, Lausanne, Switzerland
JAES Volume 56 Issue 3 pp. 156-175; March 2008
Publication Date: March 15, 2008 Import into BibTeX
Permalink: https://www.aes.org/e-lib/browse.cfm?elib=14380

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