Find the fourier transform of ftplot with axis labels the

Question

2)  For the following signal:

f(t) = sinc ^2(2pi(t-3))

• Find the Fourier Transform of f(t),
• Plot (with axis labels) the frequency spectrum for the continuous signal.  (both magnitude and phase)
• What is the bandwidth of this signal in rad/s and Hz?
• Determine the Nyquist sampling rate (f_Ny) and Nyquist sampling interval (T_Ny) for f(t).
• Plot the frequency spectrum for the signal f(t) sampled at the Nyquist sampling rate  (magnitude only, with axis labels!).  Is there aliasing present?
• For a sampling interval equal to half of the Nyquist sampling interval (i.e. T_s= T_Ny/2), what is the sampling frequency? Plot the resulting frequency spectrum (magnitude only, with axis labels!).  Is there aliasing present?
• For a sampling interval equal to twice the Nyquist sampling interval (i.e. T_s= T_Ny*2), what is the sampling frequency?  Plot the resulting frequency spectrum (magnitude only, with axis labels!).  Is there aliasing present?