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Signals & SystemsElementary Signals

For any continuous signal x(t), the sifting property gives integral x(t)delta(t-t0)dt over all time equal to?

  • A0
  • Bx(0) only
  • Cx(t0)
  • Ddelta(t0)
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Correct Answer: C. x(t0)
Explanation: The shifted impulse samples the signal at its location: ∫x(t)delta(t-t0)dt=x(t0).
Reference: Standard signals and systems: elementary signals
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