How do I find the integral of the modulus of a transfer function over all frequencies?

How do I find the integral of the modulus of a transfer function over all frequencies? (Assume the TF is band-limited, thus result is finite)

[Aravindakshan S]

Suppose I have a TF 1/(1+s/omega_p). And I want to find integral of its magnitude from omega_p to -omega_p. The result would mathematically be ln((3+2*2^0.5)). Here s is the Laplace transform variable(eq ual to j*omega) in case that wasn't clear .

Answer 1

[Aravindakshan S]

Ok I got it. There is a function called evalfr to find frequency response of the TF at a given frequency. Create an array of omega,then create the frequency response array using evalfr. Then take the abs value of it and integrate w.r.t omega.

[Aravindakshan S]

Aw I can't upvote my own answer :((

Answer 2

[ANKUR KUMAR]

Since you have not provided your equation, I am giving an random example,

fun = @(x) exp(x.^2).*log(x).^2;
q = integral(fun,0,10)

hope it helps.