signal-processingaudio-processingdeconvolutionfrequency-domain

How to extract the common part between two audio signals and remove it from the signal?

If I have two audio signals Y1 and Y2 in Fourier domain that are the results of multiplication of S with H1 and H2 respectively (convolution in time domain):

Y1=H1*S

Y2=H2*S

And I don't have S and H1, H2, but I know that S is the same in both Y1 and Y2. Is there a good way to extract S out to only have H1 and H2 in the right side of the equation?

thanks

Solution

  • Looks like two equations with three variables. I don't think that you can extract the original signal, S.