Find the fourier transform of f(t)

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Reference no: EM13780884

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?

Reference no: EM13780884

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