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Created by Unknown User (jarisav), last modified on 11.10.2010
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double Statistic::Correlation(double*x,double*y,int maxdelay,int *calcdelay,int n)
{
//http://local.wasp.uwa.edu.au/~pbourke/miscellaneous/correlate/
int i,j,delay;
double mx,my,sx,sy,sxy,denom,r,prev_r;
/* Calculate the mean of the two series x[], y[] */
mx = 0;
my = 0;
for (i=0;i<n;i++) {
mx += x[i];
my += y[i];
}
mx /= n;//lasketaan keskiarvot
my /= n;
/* Calculate the denominator */
sx = 0;
sy = 0;
for (i=0;i<n;i++)
{
sx += (x[i] - mx) * (x[i] - mx);
sy += (y[i] - my) * (y[i] - my);
}
denom = sqrt(sx*sy);
r=0;
*calcdelay=0;
prev_r=0;
/* Calculate the correlation series */
for (delay=-maxdelay;delay<maxdelay;delay++)
{
sxy = 0;
for (i=0;i<n;i++) {
j = i + delay;
if (j < 0 || j >= n)
continue;
else
sxy += (x[i] - mx) * (y[j] - my);
// Or should it be (?)
/* if (j < 0 || j >= n)
sxy += (x[i] - mx) * (-my);
else
sxy += (x[i] - mx) * (y[j] - my);
*/
}
r = sxy / denom;
if(r>prev_r)
{
prev_r=r;
*calcdelay=delay;
}
/* r is the correlation coefficient at "delay" */
}
return prev_r;
}
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