# Z transform help

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• June 20th 2010, 04:32 AM
moonnightingale
Z transform help
can u help me for calculating its z transform
• June 20th 2010, 11:57 PM
CaptainBlack
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