Determine which statements are true or false and justify your answer using frequency domain analysis:
a) The signal x(t) = u(t + To) - u(t -To) can undergo impulse-train sampling without aliasing provided that the sampling period is Ts < 2To
b) The signal x(t) with Fourier transform X(j ) = u( + o) - u( - o) can undergo impulse-train sampling without aliasing provided that the sampling period is Ts < /o
c) The signal x(t) with Fourier transform X(j ) = u() - u( - o) can undergo impulse-train sampling without aliasing provided that the sampling period is Ts< 2/o.
In all of these problems, please sketch the signal in time and frequency domain, and justify your answer based on the graphs.