1) Consider the rectangular pulse signal x(t)=\left\{\begin{array}{ll} 1, & |t|<T_{1} \\ 0, & |t|>T_{1} \end{array}\right. Find the Fourier transform of this signal and sketch it. Make sure to find the amplitude at the origin and the zeros of X(jw)

Fig: 1

Fig: 2

Fig: 3

Fig: 4