alleryStart learning →For a causal discrete LTI system with rational H(z), the ROC of H(z) for stability includes which contour?
AThe real axis only
BThe unit circle |z| = 1
CThe point z = 0 only
DThe line Im(z) = 1 only
Answer & Solution
Correct answer: B. The unit circle |z| = 1
Discrete-LTI stability ⟺ Σ|h[n]| < ∞ ⟺ ROC of H(z) contains the unit circle.
**Causal stable:** poles strictly inside |z|<1.
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