How to align the center of mass of two density functions?

Dear all,

I have two density functions which I would like to align their x-axis.

I was thinking to align then using the barycenters but I don't know how to do it in matlab.

I would like to do this to multiply later these two density functions.

Can anyone give me a clue on this?

Thank you in advance

[Image Analyst]

Can you give an example or some data or some code or something?

TUTORIAL: How to ask a question (on Answers) and get a fast answer

[Ricardo Duarte]

In the attached file you may find two matrices. These matrices represents an area.

What I need to do is:

- to calculate the pdf of both matrices. For that I'm using the following code:

Na=histcount(a,'normalization','pdf');

Nb=histcount(b,'normalization','pdf');

Now I want to align both distributions according to their center (barycenter).

Thank you.

[yanqi liu]

use b = b' to get the same matrix size?

Answer 1

[Catalytic]

xa=1:length(Na);
xb=1:length(Nb);

Nb=Nb + trapz(xa,Na.*xa) - trapz(xa,Na.*xa);

[Ricardo Duarte]

Hello @Catalytic, thank you for your help, however I'm not understanding why you sum and subtract

trapz(xa,Na.*xa)