I need to find difference equation and frequency response

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Noel
Noel 2011-11-15
Given H(z)=(-3+z^z-1)/(1+2z^-1+3z^-2)
a) Find the difference equation
b) Plot the frequency response

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回答（2 个）

Walter Roberson
Walter Roberson 2011-11-15
Please see this previous discussion
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 2011-11-15
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);
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Walter Roberson
Walter Roberson 2011-11-15
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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