Maurice Tutor

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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 15 Jun 2017 My Price 13.00

z-transform of the system

In the diagram above, R(z) is the z-transform of the system’s input r[n], C(z) is the z-transform of thesystem’s output c[n], and G(z) and H(z) are the transfer functions of the subsystems given by:G(z) = z / (z+1)H(z) = 9 / (z-8)(a) Determine the unit-pulse response of the overall system. [3 marks](b) Compute the step response of the overall system. [3 marks](c) Compute c[n] when r[n]=(0.5)nu[n] with c[-1]=-3, c[-2]=4; Hint: In order to incorporate the initialconditions into your solution, you need to revert to the difference equation (hint: cross multiply the transferfunction). Once the difference equation is obtained, the z-transform can be taken to obtain the initialcondition terms. [8 marks](d) Compute c[n] when r[n]=(0.5)nu[n] with c[-2]=1, b[-1]=2, where b[n] is the output of block H(z); Hint:Determine c[-1] by obtaining a difference equation with c[n] and b[n] terms (you need an equation with C(z)and B(z)). Then substitute c[-1] into the result you obtained for C(z) in part (c). [6 marks]

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Maurice Tutor
(5)
Status NEW Posted 15 Jun 2017 05:06 AM My Price 13.00

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