A certain sampled- data system operates at a sampling rate of 8,000 samples/s. For EACH case below, draw the sampled signal's spectrum up to the 3rd translated component with the corresponding appropriate frequency values. For simplicity and clarity, assume a square waveform with solid lines for the message signal and a square waveform with dash lines and diminishing amplitudes for the replicas or translated components. (a) Determine the theoretical highest frequency in a baseband signal such that the signal could be reconstructed from samples taken by the system. (b) Repeat part(a) if a guard band of 2 KHz is to be established between the upper range of the baseband signal and the lower range of the first translated component. (c) If for the same sampling rate a 5 - Khz signal is sampled, what range of frequencies will there be spectral overlapping?

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A certain sampled- data system operates at a sampling rate of 8,000 samples/s. For
EACH case below, draw the sampled signal's spectrum up to the 3rd translated
component with the corresponding appropriate frequency values. For simplicity and
clarity, assume a square waveform with solid lines for the message signal and a square
waveform with dash lines and diminishing amplitudes for the replicas or translated
components.
(a) Determine the theoretical highest frequency in a baseband signal such that the
signal could be reconstructed from samples taken by the system.
(b) Repeat part(a) if a guard band of 2 KHz is to be established between the upper
range of the baseband signal and the lower range of the first translated component.
(c) If for the same sampling rate a 5 - Khz signal is sampled, what range of frequencies
will there be spectral overlapping?
Transcribed Image Text:A certain sampled- data system operates at a sampling rate of 8,000 samples/s. For EACH case below, draw the sampled signal's spectrum up to the 3rd translated component with the corresponding appropriate frequency values. For simplicity and clarity, assume a square waveform with solid lines for the message signal and a square waveform with dash lines and diminishing amplitudes for the replicas or translated components. (a) Determine the theoretical highest frequency in a baseband signal such that the signal could be reconstructed from samples taken by the system. (b) Repeat part(a) if a guard band of 2 KHz is to be established between the upper range of the baseband signal and the lower range of the first translated component. (c) If for the same sampling rate a 5 - Khz signal is sampled, what range of frequencies will there be spectral overlapping?
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