ISRO Electronics & Communication (ECE) 2012 - Question 22

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Topic: Communication Systems

A signal $m(t)=3cos(6000\pi t)+4cos(7000\pi t) + 5cos (10000\pi t)$ to be sampled. What is the minimum sampling rate for band pass sampling for truth full representation?

  • A. 2000 Hz
  • B. 3000 Hz
  • C. 5000 Hz
  • D. 10000 Hz

Answer: D. 10000 Hz

Explanation: $m(t)=3~cos(6000\pi t)+4~cos(7000\pi t) + 5~cos(10000\pi t)$. Minimum sampling rate $= 2~max(f_{m1}, f_{m2}, f_{m3}) = 2\times(5000) = 10000~Hz$.

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