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Horizontal-plane HRTFs of KEMAR mannequin spatially interpolated with a resolution of 0.5°

Majdak, Piotr; Stawicki, Marnix; Başkent, Deniz


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    <subfield code="a">&lt;p&gt;HRTFs of the KEMAR manikin (Gardner and Martin, 1995):&lt;/p&gt;

&lt;ul&gt;
	&lt;li&gt;&amp;quot;hrtf_M_normal pinna.sofa&amp;quot;: the original HRTF dataset&amp;nbsp;from the KEMAR manikin at a lateral resolution of 5&amp;deg; stored as a SOFA file (Majdak et al., 2013)&lt;/li&gt;
	&lt;li&gt;&amp;quot;hrtf_M_normal pinna resolution 0.5 deg.sofa&amp;quot;:&amp;nbsp;A super-resolution HRTF set with a directional&amp;nbsp;up-sampling of the original HRTF set to the lateral resolution of 0.5&amp;deg;. To this end, for each ear&amp;#39;s HRTF set:
	&lt;ul&gt;
		&lt;li&gt;The broadband timing was removed by replacing the HRTF&amp;#39;s phase spectrum by the minimum-phase spectrum (Oppenheim et al. 1999) corresponding to HRTF&amp;#39;s amplitude spectrum.&lt;/li&gt;
		&lt;li&gt;For the interpolation of the amplitude spectra, the complex spectra of the minimum-phase HRTFs for two adjacent available directions were averaged according to a weighting that corresponded to the interpolated target direction.&amp;nbsp;&lt;/li&gt;
		&lt;li&gt;For the interpolation of the timing, a continuous-direction model of the time-of-arrival (TOA) was applied (Ziegelwanger &amp;amp; Majdak, 2014). TOA is the broadband delay arising from the propagation paths from the sound source to the listener&amp;#39;s ear. For a given direction of a sound, the interaural difference of TOAs corresponds to the ITD. The TOA model parameters describe listener&amp;#39;s geometry (head and ears) and configure a continuous-direction function of broadband TOA. We used this function to calculate TOAs for directions in steps of 0.5&amp;deg;. To this end, for each ear, the model was fit to an HRTF set as described by Majdak &amp;amp; Ziegelwanger (2013) using the implementation from the Auditory Modeling Toolbox (S&amp;oslash;ndergaard &amp;amp; Majdak, 2013). Then, each minimum-phase HRTF was temporally up-sampled by a factor of 64, circularly shifted by the TOA obtained from the continuous-direction TOA model for the target direction, and then down-sampled to the sampling rate of 44.1 kHz. Note that the temporal oversampling was required to achieve an interaural resolution of 0.35 &amp;micro;s.&amp;nbsp;&lt;/li&gt;
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	&lt;/li&gt;
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