A New Mathematical Approach to Describe Localization
The localization of a single sound source can be described mathematically by a new formalism to be presented here. Commonly, the HRTF (head related transfer function) is described as a function of variables related to the sound source position and of variables related to the spectrum. In this new approach the multivariable representation of the HRTF is replaced by introducing two independent transfer functions, one only regarding the position and the other regarding solely the source?s spectral attributes. Therefore, it can be separated between the three dimensional local space and the ?spectral space?. This offers a localization independent of the Gestalt of the sound source.
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