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DSP question involving Fourier transform

  1. Feb 16, 2012 #1
    1. The problem statement, all variables and given/known data

    From Discrete-Time Signal and Systems 3rd edition.
    Q2.4

    Consider the linear constant-coefficient difference equation


    2. Relevant equations

    y[n] -3/4y[n-1] +1/8y[n-2] = 2x[n-1]

    Determine y[n] for n >= 0 when x[n] = δ[n] and y[n]=0, n<0.

    3. The attempt at a solution

    I got the H(e^jw) to be 2e^-jw/(1-3/4e^-jw + 1/8e^-j2w) I'm not sure how to split that up so that I can use the Fourier transform pair of a^n*u[n] <--> (1/(1-ae^-jw)


    Thanks for the help.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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