Engineering, 13.12.2019 23:31 jetblackcap

Consider the discrete-time linear time-invariant system with transfer-function: g(z) =z2(z−0.5)(z+ 0.5)answer the following questions:

a) what is the difference equation associated with the above transfer-function?
b) is this system asymptotically stable?
c) calculate the impulse-response of the system.
d) calculate the step-response of the system.
e)use a computer program or calculator to sketch the magnitude and the phase of thefrequency responseg(ejω)as a function ofω. you can also sketch by hand.

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Consider the discrete-time linear time-invariant system with transfer-function: g(z) =z2(z−0.5)(z+ 0...