Question:medium

A linear time-invariant system is characterized by \[ H(z)=\frac{3-4z^{-1}} {1-3.5z^{-1}+1.5z^{-2}}. \] Which of the following is not correct?

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A stable system must have an ROC containing the unit circle. Always check pole locations first.
Updated On: Jun 25, 2026
  • System is stable in \(\frac12<|z|<3\)
  • System is unstable in \(|z|>3\)
  • System is causal, its ROC is \(|z|>3\) and system is stable
  • System is anti-causal, its ROC is \(|z|<\frac12\) and system is unstable
Show Solution

The Correct Option is C

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