A causal LTI system has the transfer function H(s) given below: 28 H(s) = (s+1-j100) (s+1+j100)* 1) Determine a differential equation for this system. 2) Sketch the pole-zero plot for this system. 3) Sketch the frequency response magnitude of this system. Do not use a log scale, i.e., do not sketch the Bode plot.

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A causal LTI system has the transfer function H(s) given below:
28
H(s) =
(s+1-j100) (s+1+j100)*
1) Determine a differential equation for this system.
2) Sketch the pole-zero plot for this system.
3) Sketch the frequency response magnitude of this system. Do not use a log scale, i.e., do not sketch the Bode
plot.
4) What type of filter is this system?
5) Determine the output y(t) of this system when the input is r(t) = u(t) - e³tu(t).
6) Is this system stable? Why or why not?
Transcribed Image Text:A causal LTI system has the transfer function H(s) given below: 28 H(s) = (s+1-j100) (s+1+j100)* 1) Determine a differential equation for this system. 2) Sketch the pole-zero plot for this system. 3) Sketch the frequency response magnitude of this system. Do not use a log scale, i.e., do not sketch the Bode plot. 4) What type of filter is this system? 5) Determine the output y(t) of this system when the input is r(t) = u(t) - e³tu(t). 6) Is this system stable? Why or why not?
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