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Question

The below diagram shows the pole-zero plot of a continuous time system

The system is stable and non - causal for the ROC

A
Re{s} >2
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B
-3<Re{s} <-2
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C
-2 <Re{s} <2
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D
Re{s} <-2
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Solution

The correct option is C -2 <Re{s} <2
For an LTI system to be stable, the ROC of the system function must include the imaginary (jω) axis.
Here the only ROC which contains imaginary axis is -2 < Re{s} <2
An LTI system is causal, if ROC is to the right side of right most pole.
system is non -causal for -2<Re{s}< 2

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