# Math Help - Z transform help

1. ## Z transform help

can u help me for calculating its z transform

2. You want the one sided z-transform of $x_n=d^n,\ n=0, 1, ...\$

The z-transform of this is:

$\displaystyle \left(\mathcal{Z}(x_n) \right)(z)=\sum_{n=0}^{\infty} x_n z^{-n}$ $\displaystyle
=\sum_{n=0}^{\infty} \left(\frac{d}{z}\right)^n$

You should recognise the right hand side as a geometic series which converges when $d and you should know how to sum that.

CB