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Signals & SystemsZ-Transform

For a causal rational discrete-time LTI system, the ROC of H(z) is generally?

  • AOutside the outermost pole
  • BInside the innermost pole
  • COnly on the unit circle
  • DBetween zero and every pole
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Correct Answer: A. Outside the outermost pole
Explanation: A causal rational impulse response is right-sided, so its ROC extends outward from the outermost pole to infinity.
Reference: Standard signals and systems: z-transform
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