Question: I need an answer in less than 2h please W 3. For an LTI system, we are given the Z-transform of the input and output

I need an answer in less than 2h please

W 3. For an LTI system, we are given the Z-transform of the input and output signals as 1 1 1 X(z) = 1-52-1' Y(2) = + a. Determine the impulse response of the system and sketch it. [2 marks] b. Determine the system difference equation. [2 marks] c. Draw a block diagram for this system. [2 marks] d. Sketch the corresponding z-plane indicating poles, zeros locations and the region of convergence. [1 mark] e. Determine the DTFT of the impulse response. [2 marks] f. Determine the output of the system y[n] when the input is x[n] = 5"u[n -2]. [2 marks] =

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