Discrete time system transfer function, Electrical Engineering

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For a discrete time unit step input x(kT), the output  y(kT) of a system is shown below,

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Part (a)

 Obtain the Z-transform of the output signal y(kT).
 
Part (b)
 
Find out the discrete time system transfer function G(z)=Y(z)/X(z)
 
Part (c)
 
Rewrite this system in a difference equation form, and verify your result by reproducing the
first four terms (k=0, 1, 2 & 3) of the output signals for a unit step input.

 


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