How to find cross correlation of two sequences

1. What is the formula for cross-correlation?
2. What is cross-correlation of two signals?
3. How do you find the cross-correlation between two matrices?
4. How do you find the cross-correlation of two signals in Matlab?

What is the formula for cross-correlation?

Cross-correlation between X_i and X_j is defined by the ratio of covariance to root-mean variance, ρ i , j = γ i , j σ i 2 σ j 2 . γ ^ i , j = 1 N ∑ t = 1 N [ ( X i t − X ¯ i ) ( X j t − X ¯ j ) ] .

What is cross-correlation of two signals?

Correlation of two signals is the convolution between one signal with the functional inverse version of the other signal. The resultant signal is called the cross-correlation of the two input signals. The amplitude of cross-correlation signal is a measure of how much the received signal resembles the target signal.

How do you find the cross-correlation between two matrices?

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 do you find the cross-correlation of two signals in Matlab?

r = xcorr( x , y ) returns the cross-correlation of two discrete-time sequences. Cross-correlation measures the similarity between a vector x and shifted (lagged) copies of a vector y as a function of the lag.