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Q#1 Z Transform GATE EE 2008 MCQ +2 marks -0.66 marks

H(z) is a transfer function of a real system.  When a signal is the input to such a system, the output is zero. Further the Region of Convergence (ROC) of is the entire Z-plane (except z = 0).  It can then be inferred that H(z) can have a minimum of  

One pole and one zero

One pole and two zeros

Two poles and One zero

Two poles and two zeros

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