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Signals & SystemsFrequency Response

The DC gain of H(z)=1/(1-0.5z^-1) is H(e^(j0)) equal to?

  • A0.5
  • B1
  • C2
  • D4
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Correct Answer: C. 2
Explanation: At ω=0, e^(-jω)=1, so H=1/(1-0.5)=2.
Reference: Standard signals and systems: frequency response
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