The spectrum of a band pass signal spans from 20 kHz to 30 kHz. The signal can be recovered ideally from the sampled values when the sampling rate is at least:

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ESE Electronics 2010 Paper 2: Official Paper
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  1. 20 kHz
  2. 60 kHz
  3. 50 kHz
  4. 40 kHz

Answer (Detailed Solution Below)

Option 1 : 20 kHz
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ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins

Detailed Solution

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Concept:

Sampling frequency of bandpass signal is given by:

Where

  (Where [ .] denotes the floor value)

Analysis:

fH = 30 kHz

fL = 20 kHz

fH - fL = 10 kHz

 (floor value is 3)

so minimum sampling frequency is 20 kHz

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