2d cross correlation

1. How do you calculate 2D cross-correlation?
2. How does 2D correlation work?
3. How 2D correlation spectra can be useful?
4. How do you cross correlate two matrices?

How do you calculate 2D cross-correlation?

c = xcorr2( a , b ) returns the cross-correlation of matrices a and b with no scaling. xcorr2 is the two-dimensional version of xcorr . c = xcorr2( a ) is the autocorrelation matrix of input matrix a . This syntax is equivalent to xcorr2(a,a) .

How does 2D correlation work?

As mostly spectroscopic signals are discussed, sometime also two dimensional correlation spectroscopy is used and refers to the same technique. In 2D correlation analysis, a sample is subjected to an external perturbation while all other parameters of the system are kept at the same value.

How 2D correlation spectra can be useful?

It can compare two completely different types of spectral data obtained for a system under a similar external perturbation. In the 2D hetero-spectral correlation analysis, the correlation between different spectral signals under the same perturbation can be detected.

How do you cross correlate two matrices?

To compute the cross-correlation of two matrices, compute and sum the element-by-element products for every offset of the second matrix relative to the first. With several caveats, this can be used to calculate the offset required to get 2 matrices of related values to overlap.