A signal g(t)=sinc^2 (5t) is sampled (using uniformly spaced impulses) at a rate of i) 5Hz ii) 10Hz iii) 20Hz. For each of the three

A signal g(t)=sinc^2 (5πt) is sampled (using uniformly spaced impulses) at a rate of 

i) 5Hz 

ii) 10Hz 

iii) 20Hz. 

• For each of the three cases: 
• Sketch the sampled signal 
• Sketch the spectrum of the sampled signal.
• Explain whether you can recover the signal g(t) from the sampled signal.
• If the sampled signal is passed through an ideal low pass filter of bandwidth 5Hz, sketch the spectrum of the output signal.