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Inverse z-transform problem

  1. Apr 19, 2015 #1
    1. The problem statement, all variables and given/known data
    img.png

    2. Relevant equations
    H(z) = Y(z)/X(z)

    3. The attempt at a solution
    I realized this wasn't in partial fraction form because the 1+z-1+0.5z-2 has non-real roots. I multiplied the 1st fraction part by z1 and the 2nd fraction by z2, then I combined them into one fraction and I think I am able to get a difference equation at the end, but is the way I am doing it right? Or is there an easier way to do this problem that I am missing.
     
  2. jcsd
  3. Apr 19, 2015 #2

    Hesch

    User Avatar
    Gold Member

    Yes, that's how you do it.

    H(z) = 1/(1+0.5z-1) - 1/(1+z-1+0.5z-2) = z/(z+0.5) - z2/(z2+z+0.5).

    Combine the fractions.
     
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