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The Nyquist sampling interval, for the signal sinc(700t) + sinc(500t) is:
  • a)
    (1/350)sec
  • b)
    (π/350)sec
  • c)
    (1/700)sec
  • d)
    (π/175)sec
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The Nyquist sampling interval, for the signal sinc(700t) + sinc(500t) ...
Concept:
Nyquist rate: The minimum sampling rate is often called the Nyquist rate. The Nyquist sampling rate is two times the highest frequency of the input or message signal.
fs = 2fm
Where,
fs is the minimum sampling frequency or Nyquist rate
fm is the highest frequency of the input or message signal.
Calculation:
sinc(700t) + sinc(500t)

f1 = 700π/2π = 350 Hz
f2 = 500π/2π = 250 Hz
fm = max (f1, f2) = max (350, 250) = 350 Hz
Sampling frequency,
fs = 2fm = 2 × 350 = 700 Hz
Sampling time period = 1/700 sec
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