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 (fNy) and Nyquist sampling interval (TNy) 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. Ts= TNy/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. Ts= TNy*2), what is the sampling frequency? Plot the resulting frequency spectrum (magnitude only, with axis labels!). Is there aliasing present?