How to plot multiple data sets in the same graph for a common range?

I have two sets of data for two curves. The first set is

    x_Exp = [1.1;1.083;1.08;1.073;1.015;0.993;0.987;0.978;0.974;0.946;0.941;0.897];
    y_Exp = [5.504201829;5.639866885;5.610055654;5.789536433;5.694270035;5.525332713;5.634467851;5.540490674;5.585972432;5.111549463;5.129729547;4.542420443];

The second set is

    x_Model = [1.11111;1.05263;1;0.952381;0.909091;0.869565];
    y_Model = [5.317717952;5.632039396;5.896917576;5.622196354;5.107126594;4.5305684];

How can i plot them in the same graph for a common range?

That means i need to find the the x_Model values which are smaller then x_Exp and then the corresponding y_Model values. It is easy to find the x_Model values that are smaller then x_Exp but how to find the corresponding values? How can i find those values so that i can plot them?

Answer 1

[Star Strider]

If you want to have the two curves overlap as much as possible, this may work:

x_Shift = min(x_Model) - min(x_Exp);

figure
plot(x_Exp, y_Exp,    x_Model-x_Shift, y_Model)
grid

It simply takes the minimum values of the two x-coordinates, and generates a shift value from it. This is then applied in the plot, leaving the original data unchanged.

[madhan ravi]

+1,Thank you @Star strider was struggling :)

[Mr. 206]

x_Model-x_Shift ans =

   1.13855
   1.08006
   1.02744
   0.97982
   0.93653
   0.89700

All the points are good except 1.13855 which is greater than the x_Model value.

[Star Strider]

I have no idea what you want.

Try this instead, then:

y_Model_Intrp = interp1(x_Exp, y_Exp, x_Model, 'linear','extrap')

figure
plot(x_Exp, y_Exp,    x_Model, y_Model_Intrp)
grid

It interpolates ‘x_Model’ to match the ‘x_Exp’ values, then plots them.

You will probably need to experiment to get the result you want.

[Mr. 206]

Ok, I am trying to make my problem more clear. This is the original plot with two curves together. The common x value for both of the curves are between 0.869565 to 1.1. I want both the graph within this range. I don't want to shift any graph which you did.

[Star Strider]

After this, I am out of ideas:

x_Intrp = linspace(0.869565, 1.1, 500);
y_Model_Intrp = interp1(x_Model, y_Model, x_Intrp, 'linear','extrap');
y_Exp_Intrp = interp1(x_Exp, y_Exp, x_Intrp, 'linear','extrap');

figure
plot(x_Intrp, y_Exp_Intrp,    x_Intrp, y_Model_Intrp)
grid

[Mr. 206]

Great! This worked fine.

Thank you so much.

[Star Strider]

As always, my pleasure!

Answer 2

[madhan ravi]

      x_Exp = [1.1;1.083;1.08;1.073;1.015;0.993;0.987;0.978;0.974;0.946;0.941;0.897];
      y_Exp = [5.504201829;5.639866885;5.610055654;5.789536433;5.694270035;5.525332713;5.634467851;5.540490674;5.585972432;5.111549463;5.129729547;4.542420443];

      x_Model = [1.11111;1.05263;1;0.952381;0.909091;0.869565];
      y_Model = [5.317717952;5.632039396;5.896917576;5.622196354;5.107126594;4.5305684];

      idx = any(x_Model) < x_Exp

      plot(x_Model(idx),y_Model(idx),'-*c')

[madhan ravi]

by logical indexing you can get desired values and plot use

hold on

after the first plot command in order to plot multiple graphs

[Mr. 206]

x_Model(idx)
   1.11111
   1.05263
   1.00000
   0.95238
   0.90909

Here you can see in x_Model the value 1.11111 is clearly greater than 1.1 in the x_Exp!!!!

[madhan ravi]

so what should be the desired x_Model ?

[Mr. 206]

First i need to figure out which x_Model values are smaller or equal to x_Exp. Then need to figure out corresponding y_Model values. I don't know how to do that.

[madhan ravi]

I know what you mean but write those

 x_Model values are smaller or equal to x_Exp

values explicitly so that I can code it according to the requirement

[Mr. 206]

So can you help me with this?

[madhan ravi]

give me sometime to figure it out

[Mr. 206]

Thank you so much for your help.

[madhan ravi]

Anytime :) , If you would have added this comment before I would have given the answer straight away