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Homework solution required regarding "Zeros and pol

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Zeros and poles

Hello.

I have a home exam, and I have some trouble with plotting the zeros and poles of a filter.

H(z) = 1/K ((1+z^1+z^2+...+z^(K-1)) / z^(K-1))

I have found that the pole is at z=0.

I have also worked out that there will be zeros at z^K = 1
Where z = e^(j*2*pi*k/K)

Where will these zeros appear on the zero-pole-plot?

I would really appreciate your help on this. :)
 

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