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

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Aravindakshan S
Aravindakshan S 2018-10-3
编辑： Aravindakshan S 2018-10-3
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)
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Aravindakshan S
Aravindakshan S 2018-10-3
编辑：Aravindakshan S 2018-10-3
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 .

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Aravindakshan S
Aravindakshan S 2018-10-3
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.

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ANKUR KUMAR
ANKUR KUMAR 2018-10-3
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.

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