The Auditory Modeling Toolbox
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lindemann1986_centroid - Calculates the centroid for a cross-correlation
Usage
d = lindemann1986_centroid(cc)
Input parameters
| cc | Lindemann cross-correlation. Dim: 1 x delay line length |
Output parameters
| d | lindemann1986_centroid in the range -1..1~ms |
lindemann1986_centroid(cc) calculates the centroid for a given cross-correlation from the Lindemann model.
The centroid is computed by (see Lindemann (1986a), page 1613, eq. 22):
\begin{equation*}
d = \frac{\sum_{m=-M}^{M} m*\Psi (m)}{\sum_{m=-M}^M \Psi (m) }
\end{equation*}
where M is half the length of the delay line \(-M,...,M\).
References:
W. Lindemann. Extension of a binaural cross-correlation model by contralateral inhibition. I. Simulation of lateralization for stationary signals. J. Acoust. Soc. Am., 80:1608--1622, 1986.
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