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| kb:region_of_convergence [2021-05-05 01:02] – ↷ Page moved from kb:ee:region_of_convergence to kb:region_of_convergence jaeyoung | kb:region_of_convergence [2024-04-30 04:03] (current) – external edit 127.0.0.1 |
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| * A [[kb:ee:causality|causal]] system, which is right-sided ($h[n]=0$ for $n < 0$) has a region of convergence that extends to infinity. | * A [[kb:ee:causality|causal]] system, which is right-sided ($h[n]=0$ for $n < 0$) has a region of convergence that extends to infinity. |
| * A left-sided system has a region of convergence that includes $z=0$. | * A left-sided system has a region of convergence that includes $z=0$. |
| * A [[kb:ee:bibo_stability|BIBO stable]] system has a region of convergence that includes the unit circle ($|z| = 1$). | * A [[kb:bibo_stability|BIBO stable]] system has a region of convergence that includes the unit circle ($|z| = 1$). |
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| ===== RoC in the Laplace domain ===== | ===== RoC in the Laplace domain ===== |
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| * A [[kb:ee:causality|causal]] system has a region of convergence that extends to positive infinity. | * A [[kb:ee:causality|causal]] system has a region of convergence that extends to positive infinity. |
| * A [[kb:ee:bibo_stability|BIBO stable]] system has a region of convergence that includes the imaginary axis $\operatorname{Re}(s) = 0$. | * A [[kb:bibo_stability|BIBO stable]] system has a region of convergence that includes the imaginary axis $\operatorname{Re}(s) = 0$. |