Abstract
A signal-processing-based method that determines the number of independent channels in a set of head-related impulse responses (HRIRs) [B. Gardner and K. Martin, http://sound.media.mit.edu/KEMAR.html] is presented. The HRIRs in the horizontal plane are analyzed using information-theoretic methods and the resulting number of independent channels is shown as a function of noise level. These results are compared to previous psychophysical measurements of absolute and relative localization thresholds as a function of signal spectrum and target angle. This comparison leads to a noise level related to human perception. Additionally, the information-theoretic treatment is shown to yield a representation of the HRIR in the horizontal plane as a one-dimensional manifold in multidimensional coefficient space. An interpolation method is presented that is based on a distance measure on this manifold and is related to previous work [R. Duraiswami and V. C. Raykar, Proc. ICASSP 3, 285–288 (2005)]. Different distance measures are compared. Finally, these results are discussed in context of presenting beamformed sonar data via a spatial auditory display using a mapping of beams to sources in a virtual auditory space [G. R. Arrabito et al., Appl. Acoust. 66, 986–1005 (2005).] [Work supported by ONR.]
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