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Pole-zero in Z-transform

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pmonon

pmonon

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application of pole zero z transform

How many poles & zeros are there for X(z)=Z^-5+Z^-4+....+1?
 

Multiple poles (5) at z=0 and five zeros at z=cos(k*pi/3)+i*sin(k*pi/3), where k=1,2,...,5
 

    pmonon

    pmonon

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