Interpolation of Experimental Data for Analysis

  

 

This is an example of one dimensional data interpolation, which is required often for analysis and post processing purpose.

Suppose you have collected one data set from any standard book/research paper and let us introduce the data set as (X1,Y1).

Now you have done some simulation/experiments and obtained some data set as (X2,Y2).

Now both the data sets contains different values of x,y but you want to interpolate the (X1,Y1) data set into new (X2,Y1_new) set.

Matlab Code:

%% these are sample data set, use your own data set

X1=[0
        1
        2
        3
        4
        5
        6
        7
        8
        9
        10
            ];

 Y1=[0
        10
        4
        50
        90
        60
        30
        40
        9
        100
        100

            ];

X2=[0
        0.5
        2.5
        4
        4.3
        4.9
        6
        6.3
        9
        10

            ];

Y2=[0
        2
        6
        10
        50
        6
        80
        90
        90
        100

];

 %% code for interpolation

Y1_new(:)=interp1(X1,Y1,X2(:),'spline');      %% New Y(:)=interp1(old X,old Y, New X(:), 'spline')
Y1_new=Y1_new';

%% This will give the interpolated data set (X2,Y1_new)

%% for testing

figure

plot(X1,Y1);

figure

plot(X2,Y2);

figure

plot(X2,Y1_new);

 

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