How to find MSE for different number of iterations when i have an audio signal

I have an audio signal x with dimension 435200x2. I have to find the MSE between this signal and another audio signal of the same dimension for a number of iterations equal to 1000. How can i find it when i have large signals like in this case?

Answer 1

[Sourav Bairagya]

To calculate Mean Squared Error (MSE) between the two signals, first you have to calculate the difference between the two signals i.e. error signal.

Then, calculate the element wise square of this error signal to get Squared Error.

Now, calculate mean of the Squared Error over all its elements using “mean” function to get the desired MSE.

Write this whole method inside a function named “calMSE” and add this to your path.

    function MSE = calMSE(t1,t2) 
          
         error = t1-t2;               %Error between two signal 
          
         sqrd_err = error.^2;         %Taking element wise sum of the error vector 
         
         MSE = mean(sqrd_err,'all');  %use ‘all’ in mean function to mean over all the elements of 
                                    % squared error signal 
    end 

Now you can use this function as follows:

t1 = rand(435200,2);   %Creating an random signal of dimension 435200X2 
t2 = rand(435200,2);   %Creating another random signal of dimension 435200X2 
MSE = calMSE(t1,t2);  %Call calMSE function to calculate MSE between t1 & t2 

Now, use this function “calMSE” inside a for loop to calculate MSE between two input signals for desired number of iterations.