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Properties of Z-Transform

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

\begin{displaymath}{\cal Z}[x[n]]=X(z)\;\;\;\;ROC=R_x \end{displaymath}

and

\begin{displaymath}{\cal Z}[y[n]]=Y(z)\;\;\;\;ROC=R_y \end{displaymath}


next up previous
Next: Z-Transform of Typical Signals Up: Z_Transform Previous: Properties of ROC
Ruye Wang 2012-01-28