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February 10th, 2017, 12:23 AM  #1 
Member Joined: Nov 2014 From: SG Posts: 55 Thanks: 1  Need hint for this discrete transfer function
The question ask me to calculate and sketch the step response of the disrete transfer functions shown below for the first 6 sampling instants. What conclusion can you make about the effect of the pole zero locations? (1) 1/(1+0.7z^1) My answer: Let X(z) = 1/(1+0.7z^1) = z / (z+0.7) Inverse ztransform X(k) = (0.7)^k and at k=0 to 5 X(k) = 1 , 0.7 , 0.49 , 0.343 , 0.2401 and 0.16807. i sketch the unit step response at k=0 , X(k) =1 and all the way to k=5 , X(k)=0.16807. so now i need to answer the questions what conclusion can you make about the effect of the pole zero location? I think it is stable since it becomes smaller and smaller (as k goes to infinity , X(k) = 0) Did I do it correctly? 

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discrete, function, hint, transfer 
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