a) Find the difference equation
b) Plot the frequency response
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Right. And what's your question?
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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.
Difference equation (I assume that z^z-1 should be z^-1):
A=[1 2 3];
[H,W] = freqz(B,A);
The frequency is normalized to pi
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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