(Z-Transform) How to show that y[n] = x[n] * h[n] turns into the Y(z) = X(z).H(z)?

Discussion in 'Math' started by krlngc, Nov 15, 2014.

  1. krlngc

    Thread Starter New Member

    Dec 9, 2013
    11
    0
    Hello,

    I'm trying to show that y[n]=x[n]∗h[n] turns into Y(z)=X(z)H(z) in Z-domain by first applying convolution then by taking the inverse Z-transform of the Y(z), stating that it's the same sequence after all. However, in power series expansion an extra term appears which kills the equation. You can find the question below; I added it as an image.

    I'd be grateful if you could help.
    Thank you
     
  2. krlngc

    Thread Starter New Member

    Dec 9, 2013
    11
    0
    There's a mistake on the 2nd line. I should've written x[m]
     
  3. WBahn

    Moderator

    Mar 31, 2012
    17,715
    4,788
    How about looking at the definitions of the Z transform and of convolution?
     
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