Chapter 18.3, Problem 6PP

(a)

To determine

Calculate the inverse Fourier transform of $H\left(\omega \right)=\frac{6\left(3+j2\omega \right)}{\left(1+j\omega \right)\left(4+j\omega \right)\left(2+j\omega \right)}$.

(b)

To determine

Calculate the inverse Fourier transform of $Y\left(\omega \right)=\pi \delta \left(\omega \right)+\frac{1}{j\omega }+\frac{2\left(1+j\omega \right)}{{\left(1+j\omega \right)}^2+16}$.