1. Find out the Laplace Transform and ROC of the following signal:
[10]
x(t) = \frac{4}{3}e^{-t}u(t) + \delta(t) - \frac{1}{3}e^{2t}u(t)
Make sure to write all the steps. Finally, show your working to find out the ROC of
the entire transformed signal in the s-plane. Use the concept of RSS or LSS or DSS to
determine your ROC.
2. Find out the signal whose Fourier Transform is:
[10]
X(j\omega) = \begin{cases} 2, & |2\omega| \le 2W \\ 0, & |2\omega| > 2W \end{cases}
Must write all the steps and work out your solution to the last step. You should begin
by determining the limits of "\omega" first.
