Given an analog signal. x(t) =4 cos(7000rt), for t>0, sampled at a rate of 6,000 Hz, a. Sketch the spectrum of the original signal; b. Sketch the spectrum of the sampled signal up to 20 kHz; c. sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal. d. Name the type of sampling used.

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Given an analog signal. x(t) =4 cos(7000rtt), for t>0, sampled at a rate of 6,000 Hz,
a. Sketch the spectrum of the original signal;
b. Sketch the spectrum of the sampled signal up to 20 kHz;
c. sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff
frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal.
d. Name the type of sampling used.
Transcribed Image Text:Given an analog signal. x(t) =4 cos(7000rtt), for t>0, sampled at a rate of 6,000 Hz, a. Sketch the spectrum of the original signal; b. Sketch the spectrum of the sampled signal up to 20 kHz; c. sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal. d. Name the type of sampling used.
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