Question $3$: $(20$ marks$)$ In the system shown below, assume that ${}_0>{}_m.$

The Fourier transforms of $h_1(t)$ and $h_2(t)$ are, respectively, given by

$H_1()=\frac{1}{2}[H_0(-{}_0)+H_0(+{}_0)],$ and $,H_2()=\frac{j}{2}[H_0(-{}_0)-H_0(+{}_0)]$

Sketch $Y()$ the Fourier transform of $y(t).$

Question $3$: $(20$ marks$)$ In the system shown below, assume that ${}_0>{}_m.$

The Fourier transforms of $h_1(t)$ and $h_2(t)$ are, respectively, given by

$H_1()=\frac{1}{2}[H_0(-{}_0)+H_0(+{}_0)],$ and $,H_2()=\frac{j}{2}[H_0(-{}_0)-H_0(+{}_0)]$

Sketch $Y()$ the Fourier transform of $y(t).$