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The poles of a digital filter with linear phase response can lie(a) Only at z =0(b) Only on the unit circle(c) Only inside the unit circle but not at z =0(d) On the left side of Real (z) =0 lineThis question was posed to me in final exam.This intriguing question comes from Difference Equations topic in chapter Digital Control Systems of Control Systems

Answer»

Right CHOICE is (b) Only on the unit circle

The best I can explain: For stable systems the poles in z plane must lie INSIDE or on the unit circle and Minimum NUMBER of delay ELEMENTS = (Maximum power of z)-(minimum power of z).



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