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Signals & SystemsStability

A causal discrete-time system has poles at z=0.4 and z=0.8. It is BIBO stable?

  • AYes
  • BNo
  • COnly if both poles are negative
  • DOnly if a pole is at z=1
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Correct Answer: A. Yes
Explanation: For a causal rational DT system, stability requires all poles to lie strictly inside the unit circle; both 0.4 and 0.8 satisfy this.
Reference: Standard signals and systems: stability
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