Fellow EEs, you know the drill. ph34r the 3vil of DSP with some nastiness like this:

Find the frequency response (He^jw) from the z transform of the signal y[n]= 1/4(x[n] + x[n-1] + x[n-2] + x[n-3]).

Or even more fun:

Determine the difference equation from the z transform

H(z)= (1-z^-1)(1+z^-2)(1-0.8e^(jpi/3)z^-1)(1-0.8e^(-jpi/3)z^-1).

For those of you who are bored enough to bother with that extremely nasty one, I recommend you save yourself the time and use MATLAB. Course, I had to for some BS homework, engineering students like me need more sleep....

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