linear interpolation in matlab

In MATLAB, you can perform linear interpolation using the interp1 function. Here is an example:

main.m
% Generate some sample data
x = 0:10;
y = sin(x);

% Define the desired points to interpolate at
xi = linspace(2, 8, 5);

% Perform linear interpolation
yi = interp1(x, y, xi, 'linear');

% Plot the original data and the interpolated points
plot(x, y, 'o', xi, yi, 'x');
legend('Original data', 'Interpolated points');
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In this example, we generate some sample data (a sine wave), define the desired interpolation points using the linspace function, and then use interp1 to perform linear interpolation. The resulting interpolated points are stored in the yi variable, which we then plot along with the original data using the plot function.

Note that the fourth argument to interp1 specifies the interpolation method - in this case, 'linear' for linear interpolation.