I need to find difference equation and frequency response

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Given H(z)=(-3+z^z-1)/(1+2z^-1+3z^-2)
a) Find the difference equation
b) Plot the frequency response

Answers (2)

Walter Roberson
Walter Roberson on 15 Nov 2011
However, it appears to me that your equation probably cannot be analyzed through these techniques, as it is not in the form of a ratio of polynomials. The z^z term is going to lead you to a lot of problems.

Naz
Naz on 15 Nov 2011
Difference equation (I assume that z^z-1 should be z^-1):
3y[n-2]+2y[n-1]+y[n]=-3x[n]+z[n-1]
Frequency response:
B=[-3 1];
A=[1 2 3];
[H,W] = freqz(B,A);
plot(W,H);
  2 Comments
Walter Roberson
Walter Roberson on 15 Nov 2011
My speculation was that the z^z-1 should be z^2 - 1 but that doesn't make sense with the leading -3 . So I still don't know what was intended.

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