I have bunch of signals.and I have another signal that is one of mentioned signals but with shifted and different magnitude. How can I find out which signal shifted signal with different magnitude?

very simple example: my signals are: a=sin^2(x); b=cos^2(x)-2; c=x^3-1; d=x^2-1; and my another signal is f=4*cos^2(x-3);

How can I find out f looks like b ????

thank you very much.

[vahid torabi]

I mean which algorithm or method I should utilize. Thank you so much.

Answer 1

[Salaheddin Hosseinzadeh]

Hi Vahid,

Use

crosscorr(f,b)

or

crosscor(f,b,numel(b)-1)

read MATLAB documentation about crosscorr and how you've to interpret it's output

If you've an amplitude in the out put of crosscorr that is close to 1 it means f and b are similar, if amps are way below 1 then they ain't similar.

doc crosscor

Fs = 100; % Hz
t = 0:1/Fs:2*pi; % 
f = 1; % Hz
x = sin(2*pi*f*t);
y = sin(2*pi*f*t + pi/2); % sine and cosine with frequency of 1
z = t.^2; %

crosscorr(x,y)
figure
crosscorr(x,z)

[Andrew Reibold]

Nice. This wasn't my question, but I learned something today.

[vahid torabi]

Thank you so much Mr Hosseinzadeh.But my signals are discrete.I have .mat data.I mean:(timeseries data) my signals have time and magnitude. signal 1 : have time(.mat file) and a value(.mat file) signal 2 :......... signal 3 :.......

How to code in this case????