If a continuous-time signal xc(t) is bandlimited to 5 kHz, the signal is sampled at a sampling rate of 20,000 samples per second to obtain a discrete-time signal x[n]. What is the highest frequency component in x[n]?
Added by Marie S.
Step 1
According to the Nyquist-Shannon sampling theorem, the sampling rate should be at least twice the bandwidth of the signal to avoid aliasing. In this case, the signal is bandlimited to 5kHz, so the minimum sampling rate should be 10kHz. Show more…
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