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Doctors Medicines MCQs Q&A

  1. Both I and II are true
  2. Both I and II are not true
  3. Only I is true
  4. Only II is true
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1 Answers

Option 4 : Only II is true

Concept:

An LTI system is stable if and only if the ROC of the impulse function H(s) includes the jω axis.

For Causal System → ROC is to the right side of the rightmost pole.

For Anti Causal System → ROC is to the left side of the left-most pole.

Observations:

  • For a causal system to be stable, the poles must lie on the left half of the complex plane (to include the jω axis)
  • A causal system with a pole on the right side cannot be BIBO stable because it's ROC can never include the jω axis. (Statement (II) is therefore correct)
  • A BIBO system with a pole in the right half of the complex plane is stable if the system is anti-causal, as this will include the jω axis. (Statement (I) is therefore incorrect)
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