Amplification correlation for signal processing
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I'm trying to write a program that takes two audio files and matches one to the other as best it can before subtracting it. To do this I've implemented a cross correlation function to handel time shift, but I am unsure how to do something similar to that for amplification. So if I were to give the program two audio files, one of which is just a quieter version of the other one the program should amplify the quieter one to match the other, then subtract and end up with silence. What functions could I used to acheive what I am looking for?
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Dimitris Kalogiros
2018-11-20
编辑：Dimitris Kalogiros
2018-11-20
Suppose that you have two (discrete time) signals x[n] and y[n] where 
.
. You can make them "unity energy" by using the following formulas:
Now these two signals x1[n] and y1[n] have equal power (=1) and you can correlate them as you've described.
Also, have a look at the following code:
clearvars; clc; close all;
% creation of signals
N=1024;
n=0:N-1;
x=sin(2*pi*(2^-7).*n);
y=2*sin(2*pi*(2^-7).*n+pi/4);
% justify its power
x1=x/sqrt(mean(x.^2));
y1=y/sqrt(mean(y.^2));
%plots
figure;
subplot(2,1,1);
plot(x); hold on;
plot(y); grid on; zoom on;
legend('x', 'y');
subplot(2,1,2);
plot(x1); hold on;
plot(y1); grid on; zoom on;
legend('x1', 'y1');
3 个评论
Jonathan La Combe
2018-11-20
Dimitris Kalogiros
2018-11-20
...then "accept" my answer
Hamza Ashraf
2020-8-21
hi sir the above code reduces the signal y. i want to know how to increase amplitude of x to match y
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