normalise two plot by there area

Hi everyone

I will get severals datas( e.g. nx100 double ) and going to plot on figure.

However, I need to normalise each data lines by their area.

Then plot the new datas on the figure.

I just know I can have the area of the plot by instruction: boundary.

But I have no idea to do the normalization parts.

Do you have any suggestions?

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21/12 edit

sorry

may i clarify my question

for example

x=1:1:100;
y(1,:)=x;
y(2,:)=x/2;
y(3,:)=x/4;
%y consider as my three data

figure
for i=1:3
    plot(x,y(i,:))
    area(i)=trapz(y(i,:));
    hold on
end
%here we can get a figure of data plots and their area (with x axis)
%we can notice the areas of three data are different

L=area(1)*area(2)*area(3);
%here is just a simple lcm.

figure
for j=1:3
    Y(j,:)=y(j,:)*L/area(j);
    plot(x,Y(j,:))
    hold on
end
% Y would be the data i really want because the areas of the three data are
% same.

However, the lcm part (or normalise part) is quite inefficient when my data are too complex or large.

wondering is there another way to revise it.

[Torsten]

I will get severals datas( e.g. nx100 double ) and going to plot on figure.

So you have n data lines ?

However, I need to normalise each data lines by their area.

The area between the data line and the x-axis ? What are the x-axis values corresponding to the 100 data of each of the n data lines ?

Answer 1

[Sulaymon Eshkabilov]

Briefly speaking normalizartion means to have the values of a variable with respect to "some value" , e.g.:

A = [5 2 3 10]

A = 1×4

5 2 3 10

% To normalize A w.r.t max value of A
A_normal = A/max(A)

A_normal = 1×4

0.5000 0.2000 0.3000 1.0000

figure(1)
plot(A, 'DisplayName','Original')
legend("Show")

figure(2)
plot(A_normal, 'DisplayName','Normalized')
legend("Show")