When the signal g(t) goes through a filter h(t) where the frequency domain definition of the filter is: h(ω) = 5ω , ω ≤ 20 0, elsewhere, the results in a time domain output signal: m(t).
(a) using convolution theorem, calculate the frequency domain output signal m(ω). plot the magnitude and phase of m(ω) in a 2x1 subplot for the interval ω=-31.4: 0.01: 31.4.
(b) evaluate m(t) using the definition of inverse fourier transformation. plot re(m(t)) and im(m(t)) in a 2x1 subplot for the interval t=-100: 0.1: 100.