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.

更多回答（1 个）

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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