(New page: == LAPLACE TRANSFORM ==) |
(→LAPLACE TRANSFORM) |
||
| Line 1: | Line 1: | ||
| − | == | + | == 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. | ||
Revision as of 13:35, 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.
