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A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency which is not valid is
  • a)
    5 kHz
  • b)
    12 kHz
  • c)
    15 kHz
  • d)
    20 kHz
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A band-limited signal with a maximum frequency of 5 kHz is to be sampl...
The maximum frequency of the band-limited signal.
fm = 5 kHz
According to the Nyquist sampling theorem, the sampling frequency must be greater than the Nyquist  frequency which is given as
fN = 2 fm = 2 × 5 = 10 kHz
So the sampling frequency fs ≥ fN
fs ≥ 10 kHz
Only the option (A) does not satisfy the condition.
∴ 5 kHz is not a valid sampling frequency.
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A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency which is not valid isa)5 kHzb)12 kHzc)15 kHzd)20 kHzCorrect answer is option 'A'. Can you explain this answer?
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