Calculation of the direction of phantom sources - sengpielaudio
 
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Calculation of the direction of phantom source image by
interchannel level difference and interchannel time difference
• The localization curves for loudspeaker stereophony •

The localisation curves are calculated by interpolation polynomial formula after Lagrange:

Rainbow - sengpielaudio

Enter a value in the left or right box, then press the TAB bar or make
a mouse click at an empty space at the side, to get the solution.
The calculator works in both directions of the ↔ sign.

Direction of phantom image b1:
 %		  ↔  Level difference Δ L:
 dB
     
100 % phantom source direction equals Δ L = 18 dB
Direction of phantom image b2:
 %		  ↔  Time difference Δ t:
 ms
     
100 % phantom source direction equals Δ t = 1.5 ms

The localisation curves are defined by empirical values after Sengpiel:

Direction of phantom image b1 0 % 25 % 50 % 75 % 100 %
Level difference Δ L 0 dB 3 dB 6.5 dB 11 dB 18 dB

Direction of phantom image b2 0 % 25 % 50 % 75 % 100 %
Time difference Δ t 0 ms 0.23 ms 0.48 ms 0.81 ms 1.5 ms

Equations for the level difference and time difference localisation curve
Direction of phantom image b1 in dependence of interchannel level difference Δ L
Direction of phantom image b2 in dependence of interchannel time difference Δ t
Phantom source image - Simonsen and Sengpiel for comparison - 1
Phantom source image - Wittek/Theile and Sengpiel for comparison - 2
Visualization of all Microphone Systems with two microphones

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