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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
Correct answer is option 'B'. Can you explain this answer?
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If the ROC of the system function is the exterior of a circle of radiu...
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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If the ROC of the system function is the exterior of a circle of radiu...
If the ROC (Region of Convergence) of the system function is the exterior of a circle of radius r, it means that the system is stable and all poles of the system function lie outside this circle.
In other words, if we consider the complex plane, the ROC is the region outside the circle centered at the origin with radius r. This implies that all poles of the system function are located outside this circle, which ensures stability of the system.
Stability is an important property in system analysis as it guarantees that the system's output will not grow indefinitely or become unstable.
In other words, if we consider the complex plane, the ROC is the region outside the circle centered at the origin with radius r. This implies that all poles of the system function are located outside this circle, which ensures stability of the system.
Stability is an important property in system analysis as it guarantees that the system's output will not grow indefinitely or become unstable.
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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)Stableb)Causalc)Anti causald)None of the mentionedCorrect answer is option 'B'. Can you explain this answer?
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