How do I calculate double integral if I know values of the function to be integrated at each and every point in x,y domain (values are discrete) in MATLAB? I have all the data stored in a file in .csv format. Actually, I'm trying to find ECC for the MIMO antenna using far-field and I got the values of the radiated field and now I'm stuck here in the integration part. Please help.
MATLAB: Discrete double integral in MATLAB if I know function value at each point
MATLAB
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You can draw it using meshgrid and surf
[X, Y] = meshgrid(linspace(-3,3));Z = exp(-X.^2-Y.^2);surf(X,Y,Z)shading interp
xv = linspace(-60,60,501);yv1 = linspace(-100,100,501);yv2 = linspace(-20,20,501);[X, Y1] = ndgrid(xv, yv1);[X, Y2] = ndgrid(xv, yv2);s1 = X + 1i*Y1;s2 = X + 1i*Y2;z1 = (1./s1.^2)*(12*exp(-s1./12)+12*exp(s1./12)-24);z2 = (1./s2.^2)*(12*exp(-s2./12)+12*exp(s2./12)-24);mag1 = abs(z1);mag2 = abs(z2);subplot(1,2,1)surf(X, Y1, mag1, 'edgecolor', 'none');xlabel('x'); ylabel('y');subplot(1,2,2)surf(X, Y2, mag2, 'edgecolor', 'none');xlabel('x'); ylabel('y');
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