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LINDEMANN1986BINCORR - Cross-correlation between two input signals a la Lindemann

Usage

crosscorr = bincorr(insig,fs,c_s,w_f,M_f,T_int,N_1)

Input parameters

`insig`	signal with $t \times n f c \times 2$ (right, left channel)
`fs`	sampling rate

Output parameters

`crosscorr`	output matrix containing the correlations
`t`	time axis corresponding to the n time samples in crosscorr

Description

lindemann1986bincorr(insig,fs) is an implementation of the Lindemann cross-correlation algorithm to simulate a binaural delay line. The output is a matrix of size $n \times m \times a m p l i t u d e$ , where n = length(t)/fs.

The cross-correlation is calculated using:

C C (τ, t) = \int_{- \infty}^{t} R (l - \frac{τ}{2}) L (k + \frac{τ}{2}) e^{- (t - k) / T_{i n t}} d k

where $T_{i n t}$ denotes an integration time constant and R, L the right and left input signal.

lindemann1986bincorr takes the following key/value pairs at the end of the command line:

`'c_s',c_s`	Stationary inhibition factor, $0 \leq c_{s} \leq 1$ (0.0 = no inhibition). Default value is 0.3.
`'w_f',w_f`	Monaural sensitivity at the end of the delay line, $0 \leq w_{f} < 1$ . Default value is 0.035.
`'M_f',M_f`	Determines the decrease of the monaural sensitivity along the delay line. Default value is 6
`'T_int',t_int`	integration time window (ms). This is the memory of the correlation process with `exp(-1/T_int)`. Also this determines the time steps in the binaural activity map, because every time step T_int a new running cross-correlation is started, so every T_int we have a new result in crosscorr. You can set T_int = inf if you like to have no memory effects, then you will get only one time step in crosscorr. Default value is 5 ms.
`'N_1',N_1`	Sample at which the first running cross-correlation should be started to avoid onset effects (see Lindemann (1986a) p. 1614). Default: 1, 17640 (200/ffs* with $f = 500$ and $f s = 44100$ ) for `'stationary'` (see above)
`'stationary'`	will set the default values of N_1=17640 and T_int=inf, use this for stationary input signals.

The key/values can also be specified first in the line of arguments in the following order: c_s, w_f, M_f, T_int, N_1.

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.