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.
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