EE422

Homework #17

Due Thursday, March 32 (Ha! Fooled Ya!)

 

1a)

The signal x(t) = 2 + 2cos(8p t) is ideally sampled at a rate of 16 Hz. Plot the amplitude spectrum of the sampled signal for |f| < 64 Hz. Show how the signal can be recovered.

b)

 Plot the amplitude spectrum for the signal in part a) for |f| < 24 Hz, if the signal is sampled at a rate of 8 Hz. Can the original signal be recovered? Why or why not?

2a)

 The signal having the spectrum shown is sampled:

i)

fs = 80 Hz

ii)

fs = 40 Hz

iii)

fs = 20 Hz

b)

 Which of the sampling frequencies above are acceptable?