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Question 5 An LTI system has an input signal given by x(t) = e-tu(t). The output of the system is measured and found out to be given by y(t) = e-tu (t) + e-t+1 u(t-1). Find the system transfer function, H(s) 4 marks a. b. Find the system impulse response, h(t) 4 marks c. Describe in words what is the functionality of this svstem (i.e., what does it do on the inputs sigmal to produce the output simal?). [2 marks]

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tele - S+ y(t): etu (t) ナét+)ult-,) StI 了 Je set- t) S+ 3 +I (sti) x(S)

TLT 8(-リ (iii) when the ispu χ(t) is app obtain at 四n. tzo, t:/ MLE 七

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