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matlabplotnumerical-integration

How to define a function containing integrals?

I am trying to create the following function in MATLAB to be used for plotting (see image) enter image description here

Here is the function I have:

function M = diodeMultiplication(alpha, beta, x, w)

M = (exp(-int(alpha-beta,x,w)))./(1-(int(alpha.*exp(-int(alpha-beta,diff(x),w)),0,w));

end

Where x is a constant (I.e. x = 0) and w is a constant (I.e. w = 1.*10^-4) and alpha and beta are arrays of floating point values that are functions of E.

I would like to input alpha,beta, x and w and plot E vs M. which would look something like this:

plot(E, diodeMultiplication(alpha, beta, x, w));

This function will not run. Does anyone have any input?

Solution

  • you want to do a numerical integration, so use integral instead of int.

    You will also need to define alpha and beta as functions to do so. This is done by just giving alpha as the function that computes the array you mentioned, e.g. if alpha=E.^2 then instead of that, you input alpha=@(x)(x.^2) to integral.