): Transfer function of an LTI DT system is given as C,2? – C2 H(z) = (z-금) (22-0.75z + 0.5625) where c, denotes the last digit of your student id while c2 C1 = 4 and c2 = 2.). a) Sketch all possible pole-zero plots of the given system and determine the impulse response of the system for each of the mentioned possibilities. b) For one or more of the above cases is it possible to obtain a stable system? Why? c) For one or more of the above cases is it possible to obtain the frequency response of the given system? Why? Obtain that if it is possible. d) For which of the above cases the given system is a causal system? Explain your choice briefly. Determine the step response of the causal system. Obtain the difference equation that gives the input output relationship of the above system.

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signals and systems

 

): Transfer function of an LTI DT system is given as
c,z2 – c2
H(z) =
(z2 – 0.75z + 0.5625)
where c, denotes the last digit of your student id while c2
C = 4 and c2 = 2.).
a)
Sketch all possible pole-zero plots of the given system and determine the impulse response of the
system for each of the mentioned possibilities.
b)
For one or more of the above cases is it possible to obtain a stable system? Why?
c)
For one or more of the above cases is it possible to obtain the frequency response of the given
system? Why? Obtain that if it is possible.
d)
For which of the above cases the given system is a causal system? Explain your choice briefly.
Determine the step response of the causal system.
e)
Obtain the difference equation that gives the input output relationship of the above system.
Transcribed Image Text:): Transfer function of an LTI DT system is given as c,z2 – c2 H(z) = (z2 – 0.75z + 0.5625) where c, denotes the last digit of your student id while c2 C = 4 and c2 = 2.). a) Sketch all possible pole-zero plots of the given system and determine the impulse response of the system for each of the mentioned possibilities. b) For one or more of the above cases is it possible to obtain a stable system? Why? c) For one or more of the above cases is it possible to obtain the frequency response of the given system? Why? Obtain that if it is possible. d) For which of the above cases the given system is a causal system? Explain your choice briefly. Determine the step response of the causal system. e) Obtain the difference equation that gives the input output relationship of the above system.
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