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If the ROC of the system function is the exterior of a circle of radius r < ∞, including the point z = ∞, then the system is said to be ___________

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If the ROC of the system function is the exterior of a circle of radius r < ∞, including the point z = ∞, then the system is said to be ___________

(a) Stable

(b) Causal

(c) Anti causal

(d) None of the mentioned

I got this question in an interview for internship.

My question is taken from Analysis of LTI System in Z Domain topic in division Z Transform and its Application – Analysis of the LTI Systems of Digital Signal Processing

1 Answer

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Best answer
Right option is (b) Causal

Best explanation: A linear time invariant system is said to be causal if and only if the ROC of the system function is the exterior of a circle of radius r < ∞, including the point z = ∞.

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