Problem #$1$:

You are given the following rectangular pulse as:

$[\frac{t}{T}]=\{\begin{array}{c}1\text{;}-\frac{T}{2}t\frac{T}{2}\\ 0\text{;}& \text{o}\text{t}\text{h}\text{e}\text{r}\text{w}\text{i}\text{s}\text{e}& \end{array}$

a$)$ Determine the frequency domain and express the Fourier response in a Sincfunction form

b$)$ Plot the magnate and Phase angle in the frequency domain. Calculate all the most pertinent coordinate points and show them on your graph.

$(6$ pts$.)$