An analog signal is given as ?(?) = 5 + 2 cos(20??) + 3 cos(400??) a) What is the bandwidth of ?(?)? Determine the Nyquist sampling frequency for ?(?), both in radian/sec (?? ), and in Hz (?? ). b) Formulate ?? (??), the signal sampled with the Nyquist frequency. c) Plot frequency spectrum of the sampled signal, ?? (??).

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An analog signal is given as
?(?) = 5 + 2 cos(20??) + 3 cos(400??)
a) What is the bandwidth of ?(?)? Determine the Nyquist sampling frequency for ?(?), both in radian/sec (?? ), and in Hz (?? ).
b) Formulate ?? (??), the signal sampled with the Nyquist frequency.
c) Plot frequency spectrum of the sampled signal, ?? (??).
d) Determine the filter to reconstruct the signal ?(?).
e) Is it possible to reconstruct the signal ?(?) for ?? = 0.004 [s]? State that if aliasing error occurs or not.

An analog signal is given as
x(t) = 5 + 2 cos(20tt) + 3cos(400nt)
a) What is the bandwidth of x (t)? Determine the Nyquist sampling frequency for x(t), both in
radian/sec (@s), and in Hz (F;).
b) Formulate X,(jw), the signal sampled with the Nyquist frequency.
c) Plot frequency spectrum of the sampled signal, X,(jw).
d) Determine the filter to reconstruct the signal x(t).
e) Is it possible to reconstruct the signal x(t) for T; = 0.004 [s]? State that if aliasing error occurs or
not.
Transcribed Image Text:An analog signal is given as x(t) = 5 + 2 cos(20tt) + 3cos(400nt) a) What is the bandwidth of x (t)? Determine the Nyquist sampling frequency for x(t), both in radian/sec (@s), and in Hz (F;). b) Formulate X,(jw), the signal sampled with the Nyquist frequency. c) Plot frequency spectrum of the sampled signal, X,(jw). d) Determine the filter to reconstruct the signal x(t). e) Is it possible to reconstruct the signal x(t) for T; = 0.004 [s]? State that if aliasing error occurs or not.
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