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Properties of Laplace Transform

The Laplace transform has a set of properties in parallel with that of the Fourier transform. The difference is that we need to pay special attention to the ROCs. In the following, we always assume

\begin{displaymath}{\cal L}[x(t)]=X(s),\;\;\;\;ROC=R_x,\;\;\;\;\;\mbox{and}\;\;\;\;\;\;
{\cal L}[y(t)]=Y(s),\;\;\;\;ROC=R_y \end{displaymath}


next up previous
Next: Laplace Transform of Typical Up: Laplace_Transform Previous: Properties of ROC
Ruye Wang 2012-01-28