I have two speech audio wav files. file1 is primary speech, file2 is supposed to be interference.

I want to add them so that the SIR (signal to interference ratio) is 10 dB.

  • How do I proceed?
  • Do I do sample by sample addition like below?

    Assuming $N$ is the data-length of both the files (single channel).

    for i = 1:N
       x = 0.1 * file1(i)^2 / file2(i)^2 
       file3(i) = file1(i) + x*file2(i)  

    file3 is the output file.

  • Are there any better ways to do this?

Note: $\textrm{SIR(in dB) = 10 log (Power(signal) / Power(interference))}$

  • $\begingroup$ better first confirm what the different energies are of the two files. $\endgroup$ Mar 29, 2016 at 3:32
  • $\begingroup$ @robertbristow-johnson In one case they're about the same, -80 and -78 (I used this one liner to compute average energy 10*log(sum(data.^2)/length(data)) $\endgroup$
    – user13107
    Mar 29, 2016 at 3:45
  • 1
    $\begingroup$ well, assuming the interference file is the -80 dB file, then i would scale the interference file by $10^{-(10-2)/20}$ and add it to the signal file. if the interference file is the -78 dB file, i would add 2 to the 10 rather than subtract. $\endgroup$ Mar 29, 2016 at 4:12
  • $\begingroup$ This might be useful, sen is signal and noise is interference signal_power = (1/length(sen))*sum(sen.*sen); noise_variance = signal_power / ( 10^(SNR/10) ); Y = sen + sqrt(noise_variance)/std(noise)*noise(1:length(sen)); $\endgroup$
    – Arpit Jain
    Mar 29, 2016 at 4:17
  • $\begingroup$ @robertbristow-johnson that works. thanks. my original approach was giving scratchy sound. $\endgroup$
    – user13107
    Mar 29, 2016 at 7:41


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