The ROC of X(s) consists of strips parallel to the jÏ‰ axis in the s-plane.

**Properties of ROC of Laplace
Transform:**

1.
The ROC of X(s) consists of strips parallel to the jÏ‰ axis in the s-plane.

2.
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.
It x(t) is a right sided signal, that is x(t) = 0
for t<t_{0}<**âˆž** then the ROC is of the form
Re(s)> a_{max} , where a _{max}
equals the maximum real part of any of the poles of X(s).

5.
If x(t) is a left sided, that is x(t) = 0 for
t>t_{1}> -**âˆž**, then
the ROC is of the form Re(s)< a_{min} , where a_{min} equals
the minimum real part of any of the poles of X(s).

6.
If x(t) is a two sided signal, than the ROC is of
the form a_{1}<Re(s)<
a_{2}.

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Signals and Systems : Analysis of Continuous Time Signals : Properties of ROC of Laplace Transform |

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