For a discrete time unit step input x(kT), the output y(kT) of a system is shown below,
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 thefirst four terms (k=0, 1, 2 & 3) of the output signals for a unit step input.