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Signals & SystemsSystem Function

For an LTI system with impulse response h(t)=e^(-2t)u(t), the transfer function H(s) is?

  • A1/(s+2)
  • B1/(s-2)
  • Cs/(s+2)
  • D2/(s^2+4)
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Correct Answer: A. 1/(s+2)
Explanation: The Laplace transform of e^(-2t)u(t) is 1/(s+2), with ROC Re{s}>-2.
Reference: Standard signals and systems: system function
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