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Analysis and Experiment on Summing Localization of Two Loudspeakers in the Median Plane

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Based on the hypothesis that the change of interaural time difference caused by head rotation and tilting provides dynamic cues for front-back and vertical localization, low-frequency localization equations or panning laws for multiple loudspeakers in the median plane were derived in our previous work. In present work we further supplement some psychoacoustic explanation of these equations and utilize them to analyze the summing localization of two loudspeakers with various configurations and pair-wise amplitude panning in the median plane. Relationship between current method and other localization theorems is also analyzed. Results indicate that for some configurations, pair-wise amplitude panning is able to create virtual sources between loudspeakers. However, it is unable to do so for some other loudspeaker configurations. A virtual source localization experiment yields consistent results with those of analysis, and therefore validates the proposed method.

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