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On the Statistics of Binaural Room Transfer Functions

The well-known property of the spectral standard deviation of Room Transfer Functions (RTFs), that is, its convergence to 5.57 dB, is extended to reverberant Binaural Room Transfer Functions (BRTFs). The BRTFs are related to the anechoic Head Related Transfer Functions (HRTFs) and the corresponding RTFs. Consequently, the statistical properties of the RTFs and HRTFs can be systematically related to the statistical properties of the BRTFs. In this work, the standard deviation of BRTFs measured in different types of rooms, for various source/receiver distances and azimuth angles is computed. The derived values are compared to the ones obtained from the single channel RTFs measured at the same positions. Their relationship to the 5.57 dB value is discussed.

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