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math:normalised_cross_correlation [2019/04/30 11:03] superuser created |
math:normalised_cross_correlation [2019/04/30 11:04] (current) superuser |
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| Assume you would like to calculate the normalised cross correlation of two sequences, x(n) and y(n), of length N. Then | Assume you would like to calculate the normalised cross correlation of two sequences, x(n) and y(n), of length N. Then | ||
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| Normalised_CrossCorr = 1/N * sum{ [x(n) - mean(x)]* [y(n) - mean(y)] }/ (sqrt(var(x)*var(y)) | Normalised_CrossCorr = 1/N * sum{ [x(n) - mean(x)]* [y(n) - mean(y)] }/ (sqrt(var(x)*var(y)) | ||
| + | |||
| where | where | ||
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| >the sum is taken from 1 till N. | >the sum is taken from 1 till N. | ||
| > mean(x) is the mean of x | > mean(x) is the mean of x | ||
| >var(x) is the variance of x. | >var(x) is the variance of x. | ||
| >sqrt is square root | >sqrt is square root | ||