Z Transforms

This is the discrete time version of LaPlace Transforms

$X\left[Z\right]=Z\left(x\left[k\right]\right)={\sum }_{k=0}^{inf}x\left[k\right]\frac{1}{z^k}$

Note

The inverse z-transform yields an impulse response for a system $P\left(s\right)$/$G\left[z\right]$. This is a way of representing the output of a system. This transform and its inverse is linear.