need quick help with: (please give a brief description of how you came to your c

Question

need quick help with: (please give a brief description of how you came to your conclusion, not just the answer. I want to try and understand the answer. For credit, thanks.)

Determine the z-transform of the signal, x(n),shown below using the basic definition of z-transform X(z) = infinity n=0 x(n)z-n. All values not shown can be assumed to be zero. A simulation diagram is shown below. Determine the difference equation that corresponds to the diagram. A signal f(t) = 2t and a second signal g(t) = 3t are convolved. Using the fundamental definition of convolution find the value of the convolution at t = 3 seconds.

Explanation / Answer

ANSWER 1)

z-1 - 2z-2 + 2 z-4

answer 2)

y(n) -0.8y(n-2) = x(n)+0.8 x(n-2) - 0.25 x(n-3)

answer 3)

H(s) = F(s) . G(s) = 6 /(s4 )

h(t) = t3

given t =3

so answer = 33 = 27

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