Question
Download Solution PDFA continuous time signal is given by x(t) = 5 cos 100πt. What is the minimum sampling rate required to avoid aliasing.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Nyquist sampling theorem: Any bandlimited continuous-time signal can be completely represented by its samples if the signal is sampled at a sampling frequency greater than 2 times the maximum frequency present in the signal.
Minimum sampling rate to avoid aliasing:
fs = 2fm = (Nyquist rate)
Calculation:
Given that, ωm = 100 π
ωm = 2πfm
fm = 50 Hz = maximum frequency of signal
Sampling frequency fs = 2 × 50 = 100 samples/sec
The concept is explained by spectrum analysis as:
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