- #1
jami8337
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Homework Statement
In Figure Q1b (on the next page), two plots display samples of the continuous-time signal uct(t) = sin(2πt) and two plots display samples of the continuous-time signal vct(t) = e −t sin(2πt). For each signal, the samples in the corresponding plots are obtained with two different sampling times. Associate each of the four plots with the corresponding Z transform in the list and justify your answer:
Homework Equations
Table of Z-Transforms
The Attempt at a Solution
Ok so using considering the generic denominator of the Z transform of a sinusoid:
z2+2cdz+d2
I can see that both equations 2 and 3 have a value of d=1 hence they are both undamped systems, so they are either one of (b) or (c)
Then from the generic denominator equation:
for (2) c=-2cos(ωT) =1.9842
= cos(ωT) = -0.9921
For (3) c=-2cos(ωT) =-1.9646
= cos(ωT) = 0.9823
Its at this point I am stuck on what I need to do and how to see which one of b and c is the correct plot?
Thanks for any tips!
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