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| − | == | + | == Laplace Transform Properties == |
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| + | 1. Region of Convergions of X(s) can consist of strips parallel to the jw-axis in the s-plane. | ||
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| + | 2. For rational Laplace Transforms, the ROC does not contain any poles. | ||
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| + | 3. If x(t) is of finite duration and is absolutely integrable, then the ROC is the entire s-plane. | ||
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| + | 4. If x(t) is right sided, and if the line Re{s} = O_0 is in the ROC, then all values of s for which Re{s} > O_0 will also be in the ROC. | ||
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| + | 5. If x(t) is left sided, and if the line Re{s} = O_0 is in the ROC, then all values of s for which Re{s} < O_0 will also be in the ROC. | ||
Revision as of 14:35, 24 November 2008
Laplace Transform Properties
1. Region of Convergions of X(s) can consist of strips parallel to the jw-axis in the s-plane.
2. For rational Laplace Transforms, the ROC does not contain any poles.
3. If x(t) is of finite duration and is absolutely integrable, then the ROC is the entire s-plane.
4. If x(t) is right sided, and if the line Re{s} = O_0 is in the ROC, then all values of s for which Re{s} > O_0 will also be in the ROC.
5. If x(t) is left sided, and if the line Re{s} = O_0 is in the ROC, then all values of s for which Re{s} < O_0 will also be in the ROC.
