A signal with Fourier transform F() 20 4 j is passed through a filter whose cutoff frequency is 2 rad s (i e , 0 2) What fraction of the energy in the input signal is contained in the output signal

Question: A signal with Fourier transform F() = 20/4 + j is passed through a filter whose cutoff frequency is 2 rad/s (i.e., 0 <

A signal with Fourier transform
F(ω) = 20/4 + jω
is passed through a filter whose cutoff frequency is 2 rad/s (i.e., 0 < ω < 2). What fraction of the energy in the input signal is contained in the output signal?

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