x(t) = 2 cos( 2 3000t) + 4 cos(2n 4000t), fort 20, Sampled at a rate of 8000 Hz, 1. Sketch the spectrum of the sampled signal up to 20 KHz. 2. Sketch the recovered analog signal spectrum if an ideal low pass filter with a cutoff frequency of 4 KHz is used to filter the sampled signal in order to recover the original signal. 3. Determine the sampling frequencies, which will achieve Nyquist rate, aliasing, sampling theory. 4. Is the signal single or multitoned frequency? 5. Determine the average power for the signal

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x(t) = 2 cos( 2n 3000t) + 4 cos(2n 4000t), for t 20,
Sampled at a rate of 8000 Hz,
1. Sketch the spectrum of the sampled signal up to 20 KHz.
2. Sketch the recovered analog signal spectrum if an ideal low pass filter with a
cutoff frequency of 4 KHz is used to filter the sampled signal in order to
recover the original signal.
3. Determine the sampling frequencies, which will achieve Nyquist rate, aliasing,
sampling theory.
4. Is the signal single or multitoned frequency?
5. Determine the average power for the signal
Transcribed Image Text:x(t) = 2 cos( 2n 3000t) + 4 cos(2n 4000t), for t 20, Sampled at a rate of 8000 Hz, 1. Sketch the spectrum of the sampled signal up to 20 KHz. 2. Sketch the recovered analog signal spectrum if an ideal low pass filter with a cutoff frequency of 4 KHz is used to filter the sampled signal in order to recover the original signal. 3. Determine the sampling frequencies, which will achieve Nyquist rate, aliasing, sampling theory. 4. Is the signal single or multitoned frequency? 5. Determine the average power for the signal
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