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Frequency response and Impulse Response

  1. Dec 6, 2011 #1
    Im struggling to do the following question. Any help would be appreciated

    A following system has the following difference equation

    y(n)+ 1/8y(n-1) - 5/8y(n-2)=1/2x(n-1)

    First part is to calculate the system transfer function using the z transform. Then get the frequency response and the impulse

    Ive managed to work out the system function and using the z transform it equates to
    [itex]\frac{Y(z)}{X(z)}[/itex]=[itex]\frac{1/2z^{-1}}{1+1/8z^{-1}-5/8z^{-2}}[/itex]

    From this how do i calculate the frequency response and the impulse response of the system.

    Many thanks
    1. The problem statement, all variables and given/known data



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    3. The attempt at a solution
     
  2. jcsd
  3. Dec 7, 2011 #2

    rude man

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    What is the z transform of δ(t), the Dirac delta (impulse) step function?

    What is the relationship between a network's impulse response and its frequency response?
    (Either in the s or z domain?).
     
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