For each of the Fourier transforms below, determine whether they correspond to a real-valued time signal and what the DC gain is. (a) H(jω) = ( 2 2+jω )3 (b) H(jω) = e−jω for |ω|

For each of the Fourier transforms below, determine whether they correspond to a real-valued time signal and what the DC gain is.

(a) H(jω) = ( 2 2+jω )3

(b) H(jω) = e−jω for |ω| < 105 and H(jω) = 0 otherwise

(c) H(jω) = sinc2(ω − π)

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