how to calculate normalized cross correlations for two signals ????

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mostafa haggag
mostafa haggag 2018-5-3
评论： Vasanthi Ravindran 2022-2-4
hello
I hope you are doing well and fine
i have two arrays of data for two different signals
i want to compare them using cross correlations
xcorr method is used to get the correlation value and then lag value and i plot it using this code
[tmpr lags]=normxcorr2(powersignal1,power_b_int);
[tmpr1 lags1]=normxcorr2(powersignal1,powerT1);
my problem is that i want to do a normalized cross-correlation as it is more exact and gives better results however i do not know how to do so
is there a function in Matlab that does normalized cross-correlations calculations for different lags and return the results ??
i have been searching for a while yet i could find any
i know the formula for calculating the normalized cross-correlations but hoped for a prepared method to use right a way instead of writting the method thank you so much

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Yuvaraj Venkataswamy
Check this, where x and y are two vector with length N.
if true
Normalised_CrossCorr = (1/N)*sum((x-mean(x))*(y-mean(y)))/(sqrt(var(x)*var(y));
end
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Rohan Dekate
Rohan Dekate 2020-12-17
Hi
I implemented this for a sensor signal and a modelled signal, and got 0.847 as the answer. Correct me if I'm wrong in understanding the concept -
If the Normalized Cross Correlation is 1 it means that the two signals are matching each other and if it is 0 then they are not matching at all. Because it is normalized the answer will be between 0 and 1.
However, I have a simulink model from which I'm generating two signals as output. When I implemented the above formula I got 623700 as my answer which is not plausible at all. Can you tell me what has gone wrong?
Vasanthi Ravindran
Vasanthi Ravindran 2022-2-4
Hi Yuvaraj Sir ,
Can you kindly send the formula for Normalised Cross Correlation

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