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Thread: Z transform help

  1. #1
    Member moonnightingale's Avatar
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    Z transform help

    can u help me for calculating its z transform
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  2. #2
    Grand Panjandrum
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    You want the one sided z-transform of $\displaystyle x_n=d^n,\ n=0, 1, ...\ $

    The z-transform of this is:

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

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

    CB
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