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

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Ricardo Duarte 2022-2-11

评论： Ricardo Duarte 2022-2-14

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

Ricardo Duarte 2022-2-11

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 2022-2-12

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

Catalytic 2022-2-12

xa=1:length(Na);
xb=1:length(Nb);
Nb=Nb + trapz(xa,Na.*xa) - trapz(xa,Na.*xa);

Ricardo Duarte 2022-2-14

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

trapz(xa,Na.*xa)

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